Three capacitors are connected as indicated in the figure below.a) If C1 = 7µF, what value must C2 have so that the total equivalent capacitance is equal to C2?b) If a voltage of 300Vdc is applied as indicated in the figure, find the charge and voltage of each capacitor. C1+300VC1C2

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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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Three capacitors are connected as indicated in the figure below.

a) If C1 = 7µF, what value must C2 have so that the total equivalent capacitance is equal to C2?
b) If a voltage of 300Vdc is applied as indicated in the figure, find the charge and voltage of each capacitor.

Expert Solution

Step 1

Given,

A circuit with three capacitor and battery

Step 2

(a)

The equivalent capacitance is

$C_{e q} = \frac{(C_{1} + C_{2}) * C_{1}}{(C_{1} + C_{2}) + C_{1}} C_{2} = \frac{(7 + C_{2}) 7}{14 + C_{2}} 14 C_{2} + C_{2}^{2} = 49 + 7 C_{2} C_{2}^{2} + 7 C_{2} - 49 = 0 S o l v i n g t h i s e q u a t i o n C_{2} = - 11.33 a n d 4.33 μ F T a k i n g C_{2} = 4.33 μ F$

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