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What's up everybody? Thanks for coming
to visit me again. At another episode

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of Let's Ask Paul, the podcast
where I, Paul Abernathy, try to

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answer all your pressing electrical related questions. How do I do that? You

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just simply go to Paul Abernathy dot
com, submit your question and I will

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reply back either in an email or
if selected, it will be utilized obviously

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anonymously. We won't mention your name
on an upcoming podcast much like this one.

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So if you've never listened to my
podcast before, I go all over

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the place. Everybody knows I notoriously
suffer from a bad case of attention depths

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at disorder. I'm all over the
place. I love this industry with a

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passion, so I am all over
the place on all types of topics,

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teaching you know, all different things
when it comes to electrical but one of

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the key things is to make sure
that I answer your questions. And so

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that's something that I enjoy doing.
And so if you've got questions, just

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go to Paul Abernathy dot com and
submit your questions and you can listen to

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our podcasts and we have over a
thousand episodes dating back many years on all

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different types of topics that are still
domine today. They're still very relevant.

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I don't really do podcasts that are
kind of locked in a time machine.

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They're all over the place and they're
all going to be informative for you.

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You may get something out of it, you may not, you know,

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but again it's it's I think it's
worth a listen, and we appreciate the

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support that you've given us and sharing
our podcast and giving us the thumbs up

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and the likes. It all helps
on all of our platforms. You know,

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I have my share of haters out
there, and there's that one guy

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who's got a thumbs down everything I
do, and he knows I know who

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he is because I obviously track his
ISP. But again for the fact that

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I don't mind you just you know, go ahead. But if you like

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what we do, do your favor. Let everybody know, thumbs up,

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share it with other people, Let
people know in your company that we have

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a podcast, get them listening to
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app. All you got to do
is go to our website fast tracks System

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dot com, f A S T
t R A X S Y S t

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E M dot com check it out
and you can go to the navigational link

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and you'll see mobile app and basically
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anything on your phone except for a
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app store. You can't get it
in a Google store, Amazon or whatever

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the the what is that iPhone store? Apple Store? No, you only

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get it from our website, so
check it out. And if you don't

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like going to my website, there's
another way you can get it. Just

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go to any c ccha t that's
anyc chat dot com, anyc chat dot

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00:03:24,280 --> 00:03:28,280
com. You can download it from
there as well. That's sponsored by Weeks

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as well, so check that out. All right. So if you're coming

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to this episode, you saw the
title, it's talking about parallel circuits.

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But before you listen to this episode, I want to employ you to go

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back and listen to the Ohmslaw episode, which I believe is episode one seventy

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one of the Let's Ask Paul series, and then then you want to listen

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to the series Circuit podcast, which
is episode one seventy two of this Let's

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Ask Paul series. Listen to those
first. So if you're just stumbling onto

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this Parallel Circuit Podcast episode, go
on and stop now and go on and

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go search for the series circuit one
or the Ohms law one, because you

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need to understand Ohms law in order
to be able to work an equation.

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And in the series podcast, I
do an example of that in you know,

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in my long winded style. You
know that everybody likes, you know,

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but I do it in order to
break it down so that you can

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kind of mentally grow a picture of
different equations and why we're doing what we

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do. So make sure you go
watch those, or I shouldn't say watch,

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go listen to those, and maybe
you're gonna listen to it a couple

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of times. Get your you know, get a piece of paper out,

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jot down the equations that as I
as I describe them, and just work

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it. It's just gonna make you
better. Or maybe maybe you don't do

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that and you just listen. That's
fine, Okay, assuming you've done that

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and you're ready to go. Today, we're going to be talking a little

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bit about parallel circuits. Now.
As I've said before, when it comes

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to serious circuits, chances are as
an electrician, you're rarely going to ever

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use series or parallel calculations out in
the field. I mean, let's be

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real, if you're a residential person, you partly will never do it,

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and most of the time you may
be doing, if anything, a series

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calculation just because of the various loads
of luminaires. Even though today most of

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the luminaires are going to be low
wattage, you know, LED maybe a

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fluorescence, maybe it's CFLs or whatnot, that type of thing, so the

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loads of wattage wise is going to
be very low. So maybe people don't

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do any of these calculations anymore.
Really, to be honest with you,

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but when it comes to an electrical
exam, you need to understand how to

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do the basics of a serious circuit, in the basics of a parallel circuit,

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and you need to know Ohm's law
because in a lot of these questions,

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they're only going to give you certain
variables, right, They're only going

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to give you the voltage and the
amps, or they might give you the

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wattage and the voltage, and you're
going to have to use the Ohms law

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formulas with an Ohms wheel that in
many cases the exam gives you an Omes

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wheel, but if not, it's
you don't want to try to remember all

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those So if you're in a state
that allows you for your exam to write

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these formulas down, then you write
them in the front of your code book

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where you have all those code panel
members, you have all that blank space

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there, that's a great place to
write them, jot them down, put

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an Ohm's law wheel there, maybe
get an Olms law sticker and put an

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Olms law sticker there, or something
to that nature. And that is going

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to be a good resource for you. And now if you're out in the

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field and you've already got your license, you know, then you can jot

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all these things down in your codebook
anyway, and it's just good to have

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in case you need it. That
type of thing. This is also a

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good opportunity for me to tell you
that for voltage and things like that,

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we do have pocket edition voltage drop
cards available over our website fasttracksystem dot com.

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They're like five ninety nine and that
includes shipping. Check them out.

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They help support the show and they
have also on the backside we show you

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how the twelve point nine for example, or the twenty one point two for

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aluminum, We show you how that's
actually calculated, how that comes to be

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so it's kind of a nice little
history deal. But we also give you

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the formulas for voltage drop find the
maximum length, all that kind of stuff.

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What's the volts dropped? All that. So they're great little cards to

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have in your wallet and they help
support the show. Go check those out

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over on fasttracksystem dot com. We'd
love to have you get some of those.

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It's a two sided card, by
the way, it shows the picture

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on the website two cards, but
it's really just one card printed on both

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sides. All right. Anyway,
that's all available, and again we appreciate

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the patronage. Okay, let's talk
parallel circuit. So, as I told

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you in a previous episode, when
it comes to series, there were some

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basic things to remember, and I
don't want to rehash those, but if

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you remember when it comes to series
circuits, the current stays the same at

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all your node points, all your
load points. It is the the the

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voltage and the resistance that becomes additive. Okay, Now, if that doesn't

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make sense to you, then you
do need to go back and listen to

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the series. One stop what you're
doing right here before you get involved in

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parallels. You need to go back
and watch that series edition or listen to

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that series edition. Trust me,
and for everybody that says, Paul,

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I'm a visual learner, you need
to do that in the video. We've

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got videos on this over on fast
tracks Tube. I'm doing a podcast,

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so I understand. So as itchy
as you have to make that kind of

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comment, please don't because it won't
be seen and it won't matter. Okay,

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I'm just telling you from the kindness
of my heart. This is a

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podcast. So one of the things
that I try to do, and I

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pride my self one is trying to
convey something in a mental picture that maybe

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will last. And that's part of
the why I love podcasts because it's a

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challenge to do. So. All
right, let's talk about excuse me,

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parallel circuits and see some of the
general rules and we'll look over we'll talk

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about an example and how you would
solve it. A parallel circuit is a

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circuit that has more than one path
for which the electrons may flow. So

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when a serious circuit, it's just
one continuous path. If you're buying into

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that kind of you know, electron
flow theory, and we are. When

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we're trying to explain these concepts,
it's not actually how it works with the

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electrons, but we get it.
Okay, So if you think about a

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parallel the electrons go out, let's
just say they go out. Let's for

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simplicity. I know I gonna have
somebody on there to say that's not how

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that works, Paul. I'm like, dude, then you didn't listen to

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the whole damn podcast because we're talking
about theory here to try to make it

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easy for you to understand. So
when you have multiple paths parallel and the

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easiest way that I can explain this
to people is because we've beat it to

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death for people. When it comes
to series in parallel arcs with arc fault,

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is it a series arc is when
there's an arcs that that's in series

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with the circuit, and a parallel
arc is one that arcs across to conductors.

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Okay, it creates an arc,
like an arc between the white and

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the black. Let's say, because
you damage the non metallity sheaf cable with

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a staple, or you have an
extension cord that you crush in the door.

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You get me, that's an arc. So there's multiple paths for it

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to return in a parallel with the
series is only one path that it has

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to follow. So in a parallel, there's multiple paths that those electrons,

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if you will, could follow.
All right, So there's some givens that

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you have to keep in mind when
it comes to a parallel circuit. And

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we told you these givens again for
the series circuit, was that the current

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remains the same at all resistive points, and it's the voltage and the resistance

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that are summations. They're additive.
Well, now let's look at a parallel.

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So in a parallel, you've got
somebody these rules. Now here's what's

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different. Whether the current in a
series is different than it is in a

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parallel. Listen to this. The
total current in a parallel is equal to

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this summation of the currents in all
the branches of the circuit. So the

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first thing that you need to remember
that you can live with remembering, is

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that when it comes to current in
a series, it's fixed. When it

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comes to parallels, it's additive.
Okay, okay, that's the first thing

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to remember. Next rule, and
in other words, if I have three

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nodes of resistance, then the resistance
at node one, excuse me three,

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you know, three loads, and
the amps at node one it's going to

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be different than the amps at node
two, which is going to be different

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than the amps and node three.
You with me, okay, and you

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add them up, and that's going
to give you the total current for that

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parallel circuit. Okay, it's not
the same as you do for the series.

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Okay, Series, all of the
points of the resistance or wherever,

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all the points of where the load
is are going to be exactly the same

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current. That is not the same
for the parallels. Okay, number two.

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Now here's what's similar to series.
In a parallel. The voltage across

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any branch in a parallel is equal
to the voltage at the across the other

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branches, and also equal to the
total voltage. So like the current in

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the series, the voltage in the
parallel is exactly the same at all points.

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So the first load, it's one
hundred and twenty volts, it's the

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same, second load it's one hundred
and twenty volts, it's the same,

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third load, it's one hundred and
twenty volts at the same Why because it's

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tapping off Let's say in a parallel, it's tapping off that that circuit that's

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coming out, and since you're putting
multiple connections to it, the voltage is

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going to be the same at all
those points. Right now, the load

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itself can vary based on it's a
hair dryer here or dishwasher here. I

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mean, you didn't get what I'm
saying, right, not that they're on

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the same circuit. They're not.
Come on, people, let's just use

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I'm just throwing your values here,
Okay. Relax. I know that one

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guy out there can't wait to thumbs
down it because he said, bull said

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dishwasher and a hair dryer. I'm
just throwing loads, folks, Relax,

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Chill, calm down. So we
have these various different you know, different

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loads, and they each have different
AMP values obviously, okay, but the

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voltage is the same on that circuit. And then, of course the resistance

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is the is the last equation,
and the resistance is the total resistance in

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a parallel circuit is found by applying
Ohm's law to the total values of each

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load. Okay, So the total
resistance is the e total E voltage okay,

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which in this case, the total
E voltage was what one twenty at

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00:14:20,200 --> 00:14:28,120
every point, divided by the total
current, and that's the total current at

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00:14:28,159 --> 00:14:33,000
each point added up, which is
again adding all of the current because remember

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00:14:33,120 --> 00:14:39,279
current is additive in a parallel circuit. Okay, so to find the total

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00:14:39,320 --> 00:14:45,919
resistance, you're going to take the
voltage divided by the total current. So

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00:14:45,960 --> 00:14:48,720
why is that important? Because if
we have some variables missing at any one

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00:14:48,720 --> 00:14:52,600
of these loads, we're going to
have to use owned law to find out

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00:14:52,000 --> 00:14:58,600
the values at any given point.
Let me give you an example. I

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00:14:58,720 --> 00:15:01,120
have one of this thing. I
have three different loads that are installed in

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parallel on a circuit, and the
first load tells me the voltage and it

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tells me the OHMS, but it
doesn't tell me the amps, which is

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I So this is where you got
to remember what folks, Ohms law.

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That's what I'm saying. If you
have not listened or have not listened to

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that one before, then that's important
for you to do that. Okay.

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00:15:24,440 --> 00:15:28,200
So if we're solving for, we're
going to solve for in this case,

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00:15:28,240 --> 00:15:31,519
we want to find the amps.
Then the ampser what's missing. We have

205
00:15:31,679 --> 00:15:35,120
the voltage and we have the resistance. Then it's pretty easy to do,

206
00:15:35,200 --> 00:15:41,159
right Ohms law. It's one twenty
divided into sixty. If that's what the

207
00:15:41,200 --> 00:15:43,519
resistance is in ohms, So it's
one hundred and twenty. The first load

208
00:15:43,600 --> 00:15:48,000
is one hundred and twenty volts.
Obviously it's parallel. That's the source voltage.

209
00:15:48,559 --> 00:15:52,240
And then it's sixty ohms of resistance, and we're trying to find what

210
00:15:52,279 --> 00:15:56,200
the amps are at that one point. Well, then you're using simple owms

211
00:15:56,279 --> 00:16:00,279
law. One hundred and twenty divided
into sixty. It's two amps. That's

212
00:16:00,320 --> 00:16:03,039
with them. So now we have
all the variables. We have the voltage,

213
00:16:03,519 --> 00:16:07,159
we have the amps, and we
have the ohms. Makes sense.

214
00:16:08,759 --> 00:16:15,559
So the first thing to remember in
all that is that's how simple it is

215
00:16:15,600 --> 00:16:21,879
to try to remember that series current
remains the same at all points, and

216
00:16:22,200 --> 00:16:29,039
the voltage and the resistance or summation
or additive when in parallel, it's different.

217
00:16:29,679 --> 00:16:37,360
In paralleling the current the amps is
additive, but the voltage remains the

218
00:16:37,399 --> 00:16:45,039
same at all points, right,
and then the total resistance is the total

219
00:16:45,120 --> 00:16:52,120
voltage divided by the total ampiers,
and that gives you the total resistance.

220
00:16:52,480 --> 00:16:59,120
Okay, so if I had to
let's see here, if I had to

221
00:16:59,159 --> 00:17:03,680
do anything, here, a couple
other tips that will give you is in

222
00:17:03,720 --> 00:17:10,000
a parallel the total resistance is always
less than the resistance of any two branches.

223
00:17:10,720 --> 00:17:14,720
Okay, the total resistance is going
to be the less any two branches.

224
00:17:14,799 --> 00:17:19,559
So give you an example of that. Let's see here, If there's

225
00:17:19,599 --> 00:17:23,160
a branch circuit that has the same
resistance, then each will draw the same

226
00:17:23,279 --> 00:17:27,640
current. If the branches are in
parallel have different resistance, then each will

227
00:17:27,720 --> 00:17:32,759
draw a different current. Makes sense. We just showed that in each series

228
00:17:32,799 --> 00:17:37,599
of parallel circuit, the larger the
resistance, the smaller the current draw.

229
00:17:37,880 --> 00:17:41,759
Okay, So the larger the resistance, the smaller the current. Okay,

230
00:17:41,960 --> 00:17:47,079
So let's kind of look at an
example here. Let's say I have three

231
00:17:47,079 --> 00:17:48,599
different nodes and I'm just going to
show you how you would add this up,

232
00:17:49,680 --> 00:17:55,160
and the three different load points on
a parallel circuit. The first one

233
00:17:55,200 --> 00:17:59,440
is one hundred and twenty volts,
it's two amps, and it's sixty oms.

234
00:18:00,160 --> 00:18:03,839
The second resistant point, obviously the
voltage is going to be the same.

235
00:18:03,920 --> 00:18:07,799
We saw that. That's one hundred
and twenty volts and the resist in

236
00:18:07,880 --> 00:18:11,440
the amps are one point five amps
at this location, and the resistance is

237
00:18:11,480 --> 00:18:18,160
eighty the third location, again the
voltage is be one twenty, the amps

238
00:18:18,200 --> 00:18:22,960
are one am, and the resistant
is one hundred and twenty ohms. Okay,

239
00:18:22,680 --> 00:18:26,039
so in solving this on an exam, this would be easy because you're

240
00:18:26,079 --> 00:18:30,519
given everything. Okay, I would
leave out something on an exam, So

241
00:18:30,559 --> 00:18:34,359
you have to do Olms law first
to get these values, and you can

242
00:18:34,400 --> 00:18:38,599
do that pretty straightforward. We just
did an example of the first resistant point

243
00:18:40,000 --> 00:18:44,559
or first to load point. But
here what do we do? So if

244
00:18:44,599 --> 00:18:49,880
I ask you the question and says
what is the voltage at the source or

245
00:18:49,920 --> 00:18:55,920
what is the voltage point each point
of the load in a parallel circuit,

246
00:18:55,920 --> 00:18:59,359
then it's easy. It's one hundred
and twenty volts. If I ask you

247
00:18:59,440 --> 00:19:03,680
what the total current is, Remember
it's at parallel, so they're additive.

248
00:19:04,240 --> 00:19:08,079
So that was two at the first
one, plus one point five at the

249
00:19:08,119 --> 00:19:12,480
second one and one at the third, So it's full point five amps total

250
00:19:12,880 --> 00:19:18,319
for this parallel circuit. And then
when it came to the ohms, you're

251
00:19:18,359 --> 00:19:22,000
like, okay, well, what
how do you calculate the ohms? Well,

252
00:19:22,039 --> 00:19:27,519
the OHMS is the total of the
voltage which was one twenty divided by

253
00:19:27,599 --> 00:19:32,680
the total current which was four point
five. So This one's pretty simple.

254
00:19:32,680 --> 00:19:36,920
One hundred and twenty divided by four
point five, and that gives me twenty

255
00:19:36,960 --> 00:19:40,759
six point sixty six ohms of resistance, So that is the total. Now

256
00:19:40,799 --> 00:19:45,400
interesting, did you notice that the
twenty six ohms was less than any of

257
00:19:45,440 --> 00:19:49,559
the resistors of the resistance totals in
each one of the different loads. Remember

258
00:19:49,559 --> 00:19:52,960
the first one was sixty ohms,
the second one was eighty oms, and

259
00:19:52,039 --> 00:19:56,519
the third one was one hundred and
twenty ohms, and our total resistance is

260
00:19:56,559 --> 00:20:00,759
only twenty six point two sixty six
ohms, So it is less than any

261
00:20:00,799 --> 00:20:04,920
one of those. Okay, So
that's kind of important to remember on an

262
00:20:04,960 --> 00:20:11,599
exam when you're doing you see in
examples, and that's why it says that

263
00:20:11,920 --> 00:20:17,920
again in a parallel the total resistance
is always less than the resistance of any

264
00:20:17,920 --> 00:20:22,160
branch, so that twenty six point
sixty six is less than sixty eighty or

265
00:20:22,200 --> 00:20:26,359
one twenty. So on an exam, you could probably be given four different

266
00:20:26,400 --> 00:20:30,720
loads, and you want to make
sure that you're using the You're going to

267
00:20:30,759 --> 00:20:33,640
make sure that the one is going
to be below sixty eighty or one twenty.

268
00:20:33,720 --> 00:20:36,000
So if any of those are the
answers, you already ruled those out

269
00:20:36,079 --> 00:20:38,519
because you know that it's going to
be less than any one of the resistance

270
00:20:38,759 --> 00:20:45,440
of any one of the other branches
or any other load. So that's one

271
00:20:45,480 --> 00:20:51,880
little tip to remember when it comes
to the parallel Okay, okay, So

272
00:20:52,799 --> 00:20:59,519
let's talk about total resistance again and
break this down so we can see every

273
00:20:59,559 --> 00:21:03,359
little piece some every little formula that
we might have. So if I want

274
00:21:03,400 --> 00:21:07,599
to determine the total resistance in a
parallel circuit when the total current and the

275
00:21:07,640 --> 00:21:12,640
total voltage are unknown, right,
so I have no idea what we're dealing

276
00:21:12,680 --> 00:21:15,559
with, all they give me is
resistance. So you could get this on

277
00:21:15,599 --> 00:21:21,440
an exam where they draw you out
three different resistors and they give you this,

278
00:21:21,480 --> 00:21:23,880
one is sixty oms, one's eighty
oms, and one's one twenty and

279
00:21:23,920 --> 00:21:27,039
you're like, Okay, the hell
am I trying to solve for here?

280
00:21:27,119 --> 00:21:30,480
What are we trying to do?
And it wants to know what the total

281
00:21:30,519 --> 00:21:37,200
resistance is? But that's all it
gives you, right, Okay, Well,

282
00:21:37,279 --> 00:21:40,440
one of the ways that we can
do this is if you look at

283
00:21:40,480 --> 00:21:45,240
it, then what did we say
the one of the formula that you're going

284
00:21:45,319 --> 00:21:52,559
to do is you got the one
over RT equals one divided by R one

285
00:21:52,599 --> 00:21:56,319
plus one divided by R two plus
one divided by R three. So this

286
00:21:56,400 --> 00:21:59,640
is one of your formulas you can
use, okay. So we have three

287
00:21:59,640 --> 00:22:03,000
different resistive loads here, so let's
work this math. And this is an

288
00:22:03,039 --> 00:22:07,319
easier formula to remember when you draw
it out, it's just one draw a

289
00:22:07,400 --> 00:22:11,039
line under the one and then put
our t. That's the total. That's

290
00:22:11,079 --> 00:22:15,359
the RT total resistance and that equals
to again one over R one plus one

291
00:22:15,480 --> 00:22:21,039
over R two plus one over R
three. So that one over R one

292
00:22:21,279 --> 00:22:25,559
is a process that you've got to
work. That is some division that you've

293
00:22:25,599 --> 00:22:29,480
got to work. Okay, So
let's make sure we know how we're doing

294
00:22:29,519 --> 00:22:30,920
this. So once you write that
down, so what did we have?

295
00:22:32,359 --> 00:22:34,519
We have three different loads. We
have a sixty and eighty and on one

296
00:22:34,640 --> 00:22:38,000
twenty. So the first one to
be one over sixty because that's your R

297
00:22:38,079 --> 00:22:45,759
one plus one over plus one over
eighty plus one over one twenty. So

298
00:22:45,759 --> 00:22:52,279
I'm gonna do one, okay,
and just kind of work it out and

299
00:22:52,319 --> 00:22:57,000
see what we what we've got in
total and work our math. Okay.

300
00:22:57,240 --> 00:23:00,039
Right. The first thing that we're
going to need to do is we're gonna

301
00:23:00,079 --> 00:23:03,880
have to lay out our formula.
Okay, so remember what I said,

302
00:23:03,920 --> 00:23:07,799
Earliert, it's going to get your
pencils if you have them. One over

303
00:23:07,920 --> 00:23:14,599
our t equals one over sixty.
That was our first resistive load. Plus

304
00:23:14,680 --> 00:23:18,599
one over eighty which was our second
resistive load eighty oms, and then plus

305
00:23:18,640 --> 00:23:22,359
one over one twenty which is our
third resistive load. Okay, so that's

306
00:23:22,400 --> 00:23:25,400
our three loads. Remember our question
wants to know with the total resistance.

307
00:23:25,400 --> 00:23:27,920
But we weren't given any voltage.
We weren't given any anything else. This

308
00:23:29,039 --> 00:23:30,680
is all we were given. Okay, no current, this is it.

309
00:23:32,519 --> 00:23:34,559
So the first thing we got to
do is draw. When you draw that

310
00:23:34,599 --> 00:23:40,680
out, and so we're gonna go. Okay. One of the easiest way

311
00:23:40,680 --> 00:23:42,319
to do this is to go to
the highest number, which is one hundred

312
00:23:42,359 --> 00:23:48,240
and twenty oms. You need to
find out what is the lowest common denominator

313
00:23:48,319 --> 00:23:51,839
amongst the sixty eighty and the one
twenty. Well, the easiest thing to

314
00:23:51,839 --> 00:23:53,640
do is go do the largest one
first, and that is the one twenty,

315
00:23:55,400 --> 00:23:59,519
and just do it one twenty plus
one twenty because that's the next one.

316
00:23:59,640 --> 00:24:03,880
Be two right now, since we
know eighty won't go into one twenty,

317
00:24:03,960 --> 00:24:07,519
so that one twenty can't be the
lowest denominator, and sixty does go

318
00:24:07,559 --> 00:24:15,799
into one twenty, right, sixty
plus sixty is one twenty, but eighty

319
00:24:15,799 --> 00:24:21,519
plus eighty is not okay, that
would be one sixty, so that can't

320
00:24:21,559 --> 00:24:26,160
work right because then plus another one
would be higher. So one twenty is

321
00:24:26,200 --> 00:24:30,680
not the lowest denominator. So we
went up into forty. So I always

322
00:24:30,720 --> 00:24:34,440
go to the largest resistant, the
largest number, and then do it times

323
00:24:34,440 --> 00:24:38,160
itself or plus itself. Excuse me
to find out what the next one would

324
00:24:38,160 --> 00:24:42,359
be and then see if the others
will will work into that and how many

325
00:24:42,400 --> 00:24:45,880
it takes to get to that.
Right, So since two forty is what

326
00:24:45,920 --> 00:24:48,759
we'd be working on, we'll go
to the first one to sixty. So

327
00:24:48,799 --> 00:24:53,000
we'll go too forty divided by sixty, and we see that it goes into

328
00:24:53,079 --> 00:24:57,480
it four times, so you write
that down four. The next one is

329
00:24:57,519 --> 00:25:02,079
the eighty, so I'm gonna go
to two two forty divided by eighty,

330
00:25:02,480 --> 00:25:04,440
and we see that that goes into
exactly three, so I'm gonna write that

331
00:25:04,440 --> 00:25:10,160
down three. And of course the
one twenty one. We knows twice to

332
00:25:10,200 --> 00:25:12,279
get two forty, so that would
be a two. So you add those

333
00:25:12,359 --> 00:25:17,119
up, so that's four by six, seven eighty nine. Okay. So

334
00:25:17,720 --> 00:25:22,839
underneath the bottom is your lowest common
denominator. So we're rewriting this formula now,

335
00:25:22,519 --> 00:25:26,000
and the lowest common denominator is two
hundred and forty, so it's going

336
00:25:26,079 --> 00:25:32,720
to be nine over two forty.
So that's our new equation, nine over

337
00:25:32,759 --> 00:25:37,759
two forty. And now what you
do is you do what's called cross multiplication.

338
00:25:38,359 --> 00:25:44,279
So you have the one over rt
and then you had the nine over

339
00:25:44,319 --> 00:25:47,880
two forty, which is what we
just worked out, and so you do

340
00:25:47,920 --> 00:25:52,599
the cross mopplication. So one is
gonna do what one times two forty.

341
00:25:52,720 --> 00:25:59,559
So now the two forty goes on
the top, and since the the two

342
00:25:59,720 --> 00:26:04,079
forty now goes to the top,
the nine goes to the bottom. And

343
00:26:04,160 --> 00:26:10,880
you just simply multiple divide the two
forty divided by nine, and that is

344
00:26:10,920 --> 00:26:15,920
twenty six point sixty six homes.
Okay. So assummation of that is again,

345
00:26:17,119 --> 00:26:21,000
once you know each of the resistant
loads, then it's one over one

346
00:26:21,039 --> 00:26:23,839
over sixty plus one over eighty plus
one over twenty. Find the common lowest

347
00:26:23,839 --> 00:26:30,200
denominator in this case was two forty, and then it's how many sixties went

348
00:26:30,279 --> 00:26:33,440
in to get to forty, so
that was on the top. That one

349
00:26:33,519 --> 00:26:37,720
is replaced with four, and then
how many eighties does it take to go

350
00:26:37,799 --> 00:26:41,279
into two forty three, So that
goes on the top and replaces the one.

351
00:26:41,799 --> 00:26:45,519
And then how many how many one
twenties went into two forty? Well

352
00:26:45,559 --> 00:26:48,519
two, so that replaces the one. So your new formula looks like one

353
00:26:48,680 --> 00:26:56,039
over rt equals four plus three plus
two over two forty because two forty was

354
00:26:56,079 --> 00:27:00,359
the lowest commis common denominator. And
then really what you do is you you

355
00:27:00,400 --> 00:27:04,640
can cross multiply, but really in
this case, you just flip it and

356
00:27:04,680 --> 00:27:10,960
then it's just two forty divided into
nine, and that is twenty six point

357
00:27:11,000 --> 00:27:15,640
sixty six, and that was your
oms of resistance. And as we said

358
00:27:15,720 --> 00:27:19,119
earlier, you will notice that the
twenty six point sixty six is less than

359
00:27:19,240 --> 00:27:26,599
any one of the actual resistance values
that we have. We had a sixty

360
00:27:26,720 --> 00:27:29,440
eighty and one twenty any obviously,
the twenty six point sixty six, like

361
00:27:29,440 --> 00:27:32,279
we did before, is less than
any of those. So that what might

362
00:27:32,319 --> 00:27:36,960
be a trigger for you on an
exam. Okay, all right, So

363
00:27:37,359 --> 00:27:41,720
one of the other things that I
like to throw out is what if you

364
00:27:41,839 --> 00:27:47,279
have an equation and we're talking parallels
here where all of the resistance or all

365
00:27:47,319 --> 00:27:52,519
of the loads that are installed in
parallel are exactly the same. Right,

366
00:27:52,880 --> 00:27:57,119
So what if we had an example
where you have three resistant three loads,

367
00:27:57,200 --> 00:28:03,359
the resistance value is one twenty one
twenty. Well, that's easy because what

368
00:28:03,400 --> 00:28:07,240
you do is if it's that's the
case, then how to find the total

369
00:28:07,279 --> 00:28:14,960
resistance is to do the resistance.
Okay, and remember what we said about

370
00:28:15,119 --> 00:28:21,720
parallels when it came to resistance.
You remember when we're a total resistance Okay,

371
00:28:21,880 --> 00:28:25,279
so we're taking the resistance. What
is the resistance in the equation?

372
00:28:26,880 --> 00:28:30,599
Our t equals are over in,
so we take since they're all the same,

373
00:28:32,359 --> 00:28:34,640
we take any one value in resistance, so that we'd take the one

374
00:28:34,680 --> 00:28:40,440
twenty and we divide it by the
number of resistors that we have or loads

375
00:28:40,440 --> 00:28:42,400
that we have. And this was
case was three. So it's simply one

376
00:28:42,519 --> 00:28:48,079
twenty divided by three, and so
the total resistance for three one hundred and

377
00:28:48,119 --> 00:28:56,519
twenty home loads in a parallel is
forty ohms. Now again, that that

378
00:28:56,640 --> 00:29:02,599
seems like it would blow people's mind, but it isn't when it comes to

379
00:29:02,759 --> 00:29:07,359
parallels, and it's different. Right
when we talked about series in our previous

380
00:29:07,400 --> 00:29:14,079
podcast, it's people are like,
well, the resistance is what RT equals

381
00:29:14,200 --> 00:29:15,839
the sum of our one plus R
two plus R three. But that's not

382
00:29:15,880 --> 00:29:18,200
how it goes here. You don't
go one twenty plus one twenty plus one

383
00:29:18,240 --> 00:29:22,480
twenty. No, they're paralleled out. So that's why we use the formula.

384
00:29:22,640 --> 00:29:29,319
RT equals are over in and the
end being the number of resistors if

385
00:29:29,319 --> 00:29:32,720
they're all the same. So if
you get a question and they're all the

386
00:29:32,839 --> 00:29:36,240
same exact resistance and they want to
know what the total resistance is and it

387
00:29:36,279 --> 00:29:38,359
doesn't matter. They're not giving you
voltage, they're not giving you amps.

388
00:29:38,359 --> 00:29:41,680
Who cares. That's not what the
question would be asking you. It just

389
00:29:41,680 --> 00:29:45,640
wants what's a total resistance? So
you can still calculate that out since they're

390
00:29:45,680 --> 00:29:49,319
all the same. You just take
the one twenty, divide it by three,

391
00:29:51,079 --> 00:29:55,319
and that's forty one. So that
is your total resistance for the entire

392
00:29:55,400 --> 00:29:59,119
circuit. Yes, it's one hundred
and twenty at each load, but it

393
00:29:59,200 --> 00:30:06,240
is forty one of total resistance.
Okay, all right, So one of

394
00:30:06,279 --> 00:30:10,200
the common common questions on an exam
is they want to know what the total

395
00:30:10,240 --> 00:30:14,440
resistance is, and it's just giving
you the resistance, and they give you

396
00:30:14,480 --> 00:30:18,400
two values in a parallel So think
of this as two straight lines and then

397
00:30:18,880 --> 00:30:26,880
two perpendicular loads running between them.
And both of these loads are one is

398
00:30:26,000 --> 00:30:30,039
forty homes and one is is eighty
homes. Okay, So again, if

399
00:30:30,079 --> 00:30:33,759
this was the same two they bothe
for eighty, then that's easy, right,

400
00:30:33,799 --> 00:30:37,680
You just eighty divided by two and
forty homes. Right, But it's

401
00:30:37,720 --> 00:30:41,000
not the same, okay when it
comes to this because the loads are different.

402
00:30:41,160 --> 00:30:45,160
One is forty oms, one is
eighty homes. So there's a formula

403
00:30:45,279 --> 00:30:48,480
that you use for this, and
I'm going to tell you the formula.

404
00:30:48,599 --> 00:30:52,319
You can pause and write this down
or come back to this episode. It's

405
00:30:52,440 --> 00:30:56,799
right at about thirty minutes and fifty
four seconds into the episode. Is it's

406
00:30:57,079 --> 00:31:04,079
R one times R two divided by
R one plus R two. Really simple,

407
00:31:04,880 --> 00:31:07,880
and all you do is work the
two. So the first one,

408
00:31:07,920 --> 00:31:10,640
so if if one of the loads
was forty ohms and one was eighty homes,

409
00:31:10,720 --> 00:31:12,799
let's work the top first, R
one, let's say, is the

410
00:31:12,839 --> 00:31:18,519
forty ohms and R two is the
eighty simple, so it's forty times eighty,

411
00:31:18,920 --> 00:31:22,039
and that's your top value. That
would be three thy two hundred.

412
00:31:22,000 --> 00:31:27,079
The bottom one is R one plus
R two, So think of this multiplication

413
00:31:27,240 --> 00:31:33,799
first and then addition. Okay,
so then it would be forty plus eighty,

414
00:31:33,319 --> 00:31:38,079
and that is one twenty. So
it's simply thirty two hundred divided by

415
00:31:38,160 --> 00:31:44,480
one twenty. So thirty two hundred
divided by one twenty twenty six point sixty

416
00:31:44,519 --> 00:31:48,319
six oms, and that is your
total resistance. And guess what you noticed.

417
00:31:49,319 --> 00:31:52,920
It is still less than any of
the resistors here, any of the

418
00:31:52,960 --> 00:31:56,440
resistance loads here. The lowest one
was forty. It's less than that.

419
00:31:56,799 --> 00:32:00,240
It's twenty six point sixty six.
So this helps you, if you're an

420
00:32:00,240 --> 00:32:05,559
exam taker, to narrow out some
of the obvious ones that are not going

421
00:32:05,640 --> 00:32:07,839
to be the answer. So even
if you can't figure it out, you

422
00:32:07,839 --> 00:32:13,680
could probably use a process of elimination
and get you down to the best possible

423
00:32:13,720 --> 00:32:17,759
answer. Okay, okay, Before
I leave this episode, I do want

424
00:32:17,799 --> 00:32:22,480
to show you another way that we
do this. When you have multiple parallel

425
00:32:22,480 --> 00:32:24,960
circuits. And I showed you the
way to do it earlier with a common

426
00:32:25,000 --> 00:32:29,920
denominator. There's another way to do
this, and I want to show you

427
00:32:29,960 --> 00:32:34,160
this one, So bear with me
using that exactly the same formula, because

428
00:32:34,200 --> 00:32:37,920
you can choose what you want.
I showed you the shorter method to utilize,

429
00:32:37,000 --> 00:32:39,680
but I'm going to show you the
same method to do it. It's

430
00:32:39,680 --> 00:32:43,720
this is gonna be a little longer
one, okay. So remember that formula

431
00:32:43,759 --> 00:32:49,440
that I used earlier. One over
rt equals one over R one plus one

432
00:32:49,519 --> 00:32:53,839
over R two plus one over R
three. You with me, okay,

433
00:32:54,119 --> 00:32:59,240
So in how we do this,
One of the ways that you can do

434
00:32:59,319 --> 00:33:02,079
this is to work it out.
So remember what we said those three loads

435
00:33:02,119 --> 00:33:07,240
were or resistance was sixty eighty and
one twenty. So let's solve each one

436
00:33:07,319 --> 00:33:09,200
so that one would be the first
one would be one over sixty, right,

437
00:33:10,240 --> 00:33:13,759
So let's work that one real quick
and write it down. And again,

438
00:33:13,839 --> 00:33:16,519
if you're using this method, you
want to write down every decimal point,

439
00:33:16,519 --> 00:33:20,920
I mean every space after the decimal
point. So let's do one divided

440
00:33:20,960 --> 00:33:24,200
by sixty and that is Wow.
They give you a lot of decimal points.

441
00:33:24,279 --> 00:33:30,519
So The first one is zero point
zero one six six six six six

442
00:33:30,839 --> 00:33:36,359
six six, So for your math
folks, that's one two three four five

443
00:33:36,440 --> 00:33:42,319
six seven sixes. Okay. So
it's point zero one and then seven sixes.

444
00:33:42,400 --> 00:33:45,039
Okay, just trust me, you're
going to have to use the entire

445
00:33:45,240 --> 00:33:47,599
value in order to get it close
to the version that we did earlier,

446
00:33:47,680 --> 00:33:52,160
which was the common denominator version.
All right. So the next one was

447
00:33:52,640 --> 00:33:57,519
one over what well, the next
one was one over eighty okay, so

448
00:33:57,599 --> 00:34:00,440
let's do that one. So let's
do one divided by eight, and that

449
00:34:00,680 --> 00:34:05,680
is zero point zero, one two
five and okay, that one is easy,

450
00:34:05,720 --> 00:34:08,519
only four decimal points. Good our
earth places, all right. So

451
00:34:08,559 --> 00:34:12,639
the next one is one twenty,
so we do one over one twenty,

452
00:34:13,880 --> 00:34:16,199
and that one has quite a few
spots. Okay, let's do this again,

453
00:34:16,239 --> 00:34:20,639
one divided by one twenty. Okay, So we write that down zero

454
00:34:20,840 --> 00:34:27,159
point zero zero eight three three three
three three three, So there is one

455
00:34:27,239 --> 00:34:31,000
two, three four five six threes. So it's point zero zero eight and

456
00:34:31,039 --> 00:34:35,480
then followed by six threes. Okay. These are the total numbers, and

457
00:34:35,480 --> 00:34:37,639
I'm going to show you why you
would do this. Now. Typically we

458
00:34:37,679 --> 00:34:40,679
would go to four spaces, and
it's not going to equal the same as

459
00:34:40,679 --> 00:34:44,639
the denominator value. But I just
want to show you how we could do

460
00:34:44,679 --> 00:34:47,400
it this way, all right,
So now what you do is you add

461
00:34:47,519 --> 00:34:52,559
up all of the denominators that's across
the bottom right, So that is the

462
00:34:52,679 --> 00:34:55,840
point zero one six six six six
six six six six six. So I'm

463
00:34:55,840 --> 00:35:00,719
gonna do it here. So it's
point zero one sixty six six sixty six

464
00:35:00,840 --> 00:35:09,599
sixty six plus point zero one two
five plus point zero zero eight three three

465
00:35:09,760 --> 00:35:16,079
three three three three, and that
gives me a total of zero point zero

466
00:35:16,199 --> 00:35:22,000
three seven four nine nine nine nine
nine. Okay, so that is point

467
00:35:22,159 --> 00:35:29,519
zero three seven four and then followed
by five nines. Now I'm gonna divide

468
00:35:29,559 --> 00:35:32,360
one into that, so we get
back to the formula. So it's one

469
00:35:32,519 --> 00:35:36,960
over this value number. So I'm
gonna do I'm gonna finish it out.

470
00:35:37,000 --> 00:35:43,639
I'm gonna one divide it by point
zero three seven four nine nine, nine

471
00:35:43,760 --> 00:35:47,719
nine nine, and that gives me
twenty six point six six six sixty six.

472
00:35:47,800 --> 00:35:52,360
So we can use twenty six point
sixty six. So in order to

473
00:35:52,480 --> 00:35:57,400
make it match the denominator of the
way I did it, earlier. You

474
00:35:57,480 --> 00:36:00,599
have to use all of the values. Reason I'm bringing this up is because

475
00:36:00,719 --> 00:36:02,840
you'll have people out there that say, well, you only have to go

476
00:36:02,920 --> 00:36:07,719
to the four spaces, and that's
true, but that won't match the denominator

477
00:36:07,800 --> 00:36:10,199
value. And for the end of
the day, for the real world,

478
00:36:10,280 --> 00:36:14,280
it's fine. Four spaces should be
more than enough to find out what the

479
00:36:14,280 --> 00:36:16,199
resistance is. But if you want
to get it exact, then you use

480
00:36:16,360 --> 00:36:21,000
all of the values from your calculator. Okay, and that's what we did.

481
00:36:22,280 --> 00:36:27,199
Ultimately, if I had done it
to the four spaces, then it

482
00:36:27,239 --> 00:36:30,000
would have been slightly different. It
wouldn't have matched the one we did earlier

483
00:36:30,039 --> 00:36:34,440
at twenty six point sixty six.
It would have been more like twenty six

484
00:36:34,519 --> 00:36:38,239
point seven or whatever. It's close
enough, okay, but I just wanted

485
00:36:38,280 --> 00:36:43,239
you to see the difference. You
can certainly use this formula to do like

486
00:36:43,320 --> 00:36:46,119
I did and work it all the
way out, or you can do the

487
00:36:46,199 --> 00:36:50,800
version we did earlier, which is
the common denominator version. Hey, it's

488
00:36:50,840 --> 00:36:54,760
whichever version that you feel you feel
comfortable with. And maybe you have a

489
00:36:54,800 --> 00:37:00,639
situation where it's you can't figure out
what the common denominator is. And I

490
00:37:00,719 --> 00:37:02,440
kind of gave you tips on how
to start out, take the larger value

491
00:37:02,480 --> 00:37:06,119
and use that one and then see
if the others will work into it.

492
00:37:07,360 --> 00:37:09,039
But if not, you can do
it this long method. It just takes

493
00:37:09,079 --> 00:37:14,079
a little longer. But either way, that's examples of how you can find

494
00:37:14,079 --> 00:37:17,280
the total resistance when they don't give
you the voltage, when they don't give

495
00:37:17,320 --> 00:37:21,480
you the amps, and this is
all they give you. All they give

496
00:37:21,519 --> 00:37:23,760
you is the resistance. Okay,
So hopefully that helps you out in case

497
00:37:23,800 --> 00:37:27,760
you get one of those type of
questions on an exam. Okay, all

498
00:37:27,840 --> 00:37:30,119
right, folks, that's it.
Hopefully you got something out of the day's

499
00:37:30,119 --> 00:37:34,519
episode. We're going to do another
episode, the last one in this series

500
00:37:35,039 --> 00:37:37,719
of Let's Ask Paul's dealing with series
parallels. We're going to do a quick

501
00:37:37,760 --> 00:37:42,280
one on combinations to show you how
you work from a series down to a

502
00:37:42,320 --> 00:37:46,119
parallel excuse me, from a parallel
down to a series and because the series

503
00:37:46,119 --> 00:37:50,039
are easier to work, and that's
what we're going to cover in the next

504
00:37:50,039 --> 00:37:52,960
episode. Okay, all right,
again, these can't get complicated. If

505
00:37:53,000 --> 00:37:55,880
you want to watch a video on
it, then you get a subscription to

506
00:37:55,920 --> 00:38:00,199
our fast Tracks Tube. We have
videos on it that shows examples on the

507
00:38:00,199 --> 00:38:02,400
screen. We even have a video
where you sit in on us on a

508
00:38:02,440 --> 00:38:07,400
Wednesday night where I talk about these
things and it might help you. Again,

509
00:38:07,639 --> 00:38:09,639
probably on an exam, you might
only have one question, one or

510
00:38:09,639 --> 00:38:14,559
two questions, so I wouldn't you
know, I wouldn't die on this sword.

511
00:38:15,079 --> 00:38:17,719
But it's important that you understand these
basic concepts. Okay, all right,

512
00:38:19,000 --> 00:38:21,960
remember this episode, folks. I
believe it's one seventy three. I'm

513
00:38:22,000 --> 00:38:23,280
not sure it, don't hold me
to it. If you have any questions,

514
00:38:23,280 --> 00:38:27,920
you can always go to Paul Abernathy
dot com and submit a comment.

515
00:38:28,480 --> 00:38:31,400
Ask a question based on an episode. Just be very detailed in your question

516
00:38:31,480 --> 00:38:35,559
because I'm not going to go back
and listen to the episode to be able

517
00:38:35,559 --> 00:38:37,760
to answer your question. Okay,
I don't have the time for that.

518
00:38:37,039 --> 00:39:07,880
Till next time, folks, Stay
safe, God bless nothing, mask nothing
