00:01
In this video, we're going to be looking at a network of capacitors.
00:05
Okay, so what my network looks like is i have point a.
00:09
I have capacitor 1 in series with capacitor 2.
00:17
And that's in parallel with capacitor 3.
00:25
And that is in series with another capacitor.
00:31
Capacitor 4 out here.
00:34
And between points a and b, there is a voltage drop of v equals 12 .0 volts.
00:47
I have the values of my capacitance.
00:50
I have capacitor 1 is 10 .0 microferds.
00:57
Capaceter 2 is 3 .0 microferrets.
01:01
Capacitor 3 is 6 .0 microfarids and capacitor 4 is 20 .0 microferds.
01:17
Okay and what i want to do is i want to find the equivalent capacitance of this network.
01:22
Okay.
01:23
And then i want to find the charge on each capacitor, okay, once it's connected to that 8.
01:32
Or sorry, 12 volt voltage.
01:36
Okay, so i'll start with equivalent capacitance.
01:39
Okay, and we're going to do this in steps.
01:41
The first thing i'm going to do is find the equivalent capacitance of capacitors 1 and 2.
01:46
Okay, so we'll redraw that like this.
01:51
So now we have one capacitor, and i'll call this 1 -2.
01:55
Now that's in parallel with capacitor 3, and that is in series with capacitor 4.
02:02
Label that one.
02:04
So let's find capacitance 1 -2, c -1 -2.
02:08
These capacitors are in series, remember? so our capacitance is going to be c -1, c2 over c -1 plus c2.
02:19
So that gives me 2 .3 -1 micro -ferrets.
02:25
Next i'm going to replace my parallel combination here with one single capacitor.
02:31
And that's going to to be here we have c1 ,2 ,3.
02:43
Okay, that was two capacitors in parallel.
02:46
So c1 ,2 ,3 equals c12 plus c3.
02:53
So 8 .31 microferds there.
02:59
And finally, i'm going to combine my last two capacitors into one capacitor and that is my c .e .q.
03:08
That's what we're looking for.
03:10
C .e .q.
03:11
That was two capacitors in series.
03:14
Equals c, one, two, three, c4 over c, one, two, three, plus c4.
03:23
And we get 5 .87 micro -fairds.
03:31
All right.
03:32
So that is my equivalent capacitance of that original network of capacitors.
03:39
Now we want to find the charge on each capacitor...