Find:equivalent capacitance. charge Qvoltage Vstored energy U 5 uF1 uF1 µF12 µF12 V3 µF

Answered: 5 µF 1 µF 1 uF 12 µF 12 V 3 µF

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Find: equivalent capacitance. charge Q voltage V stored energy U

Expert Solution

Step 1

In the given figure the 3 µF and 1 µF are in parallel. So, the equivalent capacitor is:

$C_{1} = 3 µF + 1 µF C_{1} = 4 µF$

Now the capacitor C₁ and 12 µF capacitor are in series. So, the equivalent capacitor is:

$\begin{array}{rcl} \frac{1}{C_{2}} & = & \frac{1}{C_{1}} + \frac{1}{12 μF} \\ \frac{1}{C_{2}} & = & \frac{1}{4 μF} + \frac{1}{12 μF} \\ C_{2} & = & 3 μF \end{array}$

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