Answered: When connected in series, two…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 48P

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Question

When connected in series, two capacitors have an equivalent capacitance of 1.60 µF. The same two capacitors have an equivalent capacitance of 14.0 µF when connected in parallel. What is the capacitance of each of the capacitors?

Expert Solution

Step 1

When two capacitors $C_{1}$ and $C_{2}$ are in series then their equivalent capacitance is,

$C_{e q} = \frac{C_{1} C_{2}}{C_{1} + C_{2}}$

When connected in parallel then equivalent capacitance is,

$C_{e q} = C_{1} + C_{2}$

Given :

When connected in series then equivalent capacitance is $1.60 μ F$ .

When connected in parallel then equivalent capacitance is $14 μF$ .

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