Question

Three capacitors having capacitances of 4.60, 4.60, and 2.30 µF, respectively, are connected in series across a 33.0 V potential difference. (a) What is the charge (in µC) on the 2.30 µF capacitor? με (b) The capacitors are disconnected from the potential Difference without allowing them to discharge. They are then reconnected in parallel with each other with the positively charged plates connected together. What is the voltage across each capacitor in the parallel combination (in V)? 4.60 µF capacitors 2.30 µF capacitor V V

          Three capacitors having capacitances of 4.60, 4.60, and 2.30 µF, respectively, are connected in series across a 33.0 V potential difference.
(a) What is the charge (in µC) on the 2.30 µF capacitor?
με
(b) The capacitors are disconnected from the potential Difference without allowing them to discharge. They are then reconnected in parallel with each other with the positively
charged plates connected together. What is the voltage across each capacitor in the parallel combination (in V)?
4.60 µF capacitors
2.30 µF capacitor
V
V

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three capacitors having capacitances of 460 460 and 230 f respectively are connected in series across a 330 v potential difference a what is the charge in c on the 230 f capacitor b the capa 92646

Added by Alejandro W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Emily Anderson

03/17/2023

Step 1

Step 1: The equivalent capacitance of capacitors connected in series is given by: $$1/C_{eq} = 1/C_1 + 1/C_2 + 1/C_3$$ where $C_1$, $C_2$, and $C_3$ are the capacitances of the individual capacitors. Show more…

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Three capacitors having capacitances of 4.60, 4.60, and 2.30 µF, respectively, are connected in series across a 33.0 V potential difference. (a) What is the charge (in µC) on the 2.30 µF capacitor? με (b) The capacitors are disconnected from the potential Difference without allowing them to discharge. They are then reconnected in parallel with each other with the positively charged plates connected together. What is the voltage across each capacitor in the parallel combination (in V)? 4.60 µF capacitors 2.30 µF capacitor V V

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Transcript

00:01 In this example, we're going to be working with capacitors as part of circuit elements.

00:06 Okay, so what we have are three capacitors.

00:09 We have them originally connected in series across a battery.

00:14 Okay, so here we have our battery.

00:19 Okay, and then we'll have c1, c2, and c3.

00:37 And what we want to find is the initial.

00:39 Charge on the capacitors.

00:42 Okay, then we're going to disconnect these capacitors from the series configuration, keep maintaining their charges.

00:49 Then we're going to reconnect them in parallel, and we're going to find the potential across each capacitor when they're in parallel.

00:58 Okay, so the first thing we need to do is to find the equivalent resistance of our series configuration.

01:06 We'll use that to get the total charge on each capacitor.

01:10 And then we'll reconnect them and do the calculations from there.

01:13 So we'll need some numbers.

01:14 We have c1 equals c2 equals 8 micro.

01:20 Actually, it's 8 .0 .8 .00 microferds.

01:27 And c3 equals 4 .00 microferrets.

01:34 All right.

01:35 And i have the voltage of my battery.

01:38 V equals 30.

01:40 Volts.

01:42 Now we want to find the equivalent capacitance of this circuit.

01:46 So i know that for capacitors in series, 1 over cq equals 1 over c1 plus 1 over c2 plus 1 over c3.

02:01 Okay, and putting in our values, we get 2 over 8 plus 1 over 4...

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