Consider four capacitors in (Figure 1).Figure+20 μF30 με< 1 of 116 μF16 μF>Part AWhat is the equivalent capacitance of the four capacitors?Express your answer with the appropriate units.CeqSubmitμÀValueProvide FeedbackRequest AnswerBUnits?

Answered: Consider four capacitors in (Figure 1).…

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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Consider four capacitors in (Figure 1).
Figure
+
20 μF
30 με
< 1 of 1
16 μF
16 μF
>
Part A
What is the equivalent capacitance of the four capacitors?
Express your answer with the appropriate units.
Ceq
Submit
μÀ
Value
Provide Feedback
Request Answer
B
Units
?

Expert Solution

Step 1

Given that,

Four capacitors of capacitance,

$C_{1} = 20 μF, C_{2} = 30 μF, C_{3} = 16 μF, C_{4} = 16 μF$

Part (A)

In the given circuit, the capacitors $C_{1} and C_{2} are in series combination .$ Their equivalent capacitance is given by,

$\frac{1}{C_{12}} = \frac{1}{C_{1}} + \frac{1}{C_{2}} = \frac{1}{20} + \frac{1}{30} \Rightarrow \frac{1}{C_{12}} = \frac{3 + 2}{60} = \frac{5}{60} \Rightarrow C_{12} = \frac{60}{5} = 12 μF$

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