ResourcesFind the equivalent capacitance Ceq of the combination ofcapacitors shown in the figure, where C = 0.825 µF,%3DC2 = 10.0 µF, and C3= 2.75 µF.CeqµFQuestion Credit: OpenStax College Physics

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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 the equivalent capacitance Ceq of the combination of
capacitors shown in the figure, where C = 0.825 µF,
%3D
C2 = 10.0 µF, and C3
= 2.75 µF.
Ceq
µF
Question Credit: OpenStax College Physics

Expert Solution

Step 1

Given data

The capacitance of the first capacitor is, $C_{1} = 0.825 μF$

The capacitance of the second capacitor is, $C_{2} = 10.0 μF$

The capacitance of the third capacitor is, $C_{3} = 2.75 μF$

Here capacitors $C_{1}$ and $C_{2}$ are in series, so the net capacitance between capacitors $C_{1}$ and $C_{2}$ is,

$\begin{array}{rcl} \frac{1}{C_{12}} & = & \frac{1}{C_{1}} + \frac{1}{C_{2}} \\ = & \frac{1}{0.825 μF} + \frac{1}{10.0 μF} \\ C_{12} & = & \frac{(10.0 μF) (0.825 μF)}{0.825 μF + 10.0 μF} \\ = & 0.762 μF \end{array}$

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