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Chapter 26: Q. 56 (page 740)

What are the charge on and the potential difference across each capacitor in FIGURE P26.56?

Short Answer

Expert verified

The charge on each capacitor is 60渭C, and the potential difference is respectivelyV1=5V,V2=15V,V3=10V.

Step by step solution

01

Given information

We have given that the FIGURE P26.56.

We need to find the charge on and the potential difference across each capacitor in FIGURE P26.56.

02

Simplify 

If the capacitors are connected in series the charge on every capacitor is the same, and it is equal to the charge of a single equivalent capacitor. The expression for the equivalent capacitance Cof this series is given by

1C=1C1+1C2+1C3.

This yields

1C=C2C3C1C2C3+C1C3C1C2C3+C1C2C1C2C3,

or

C=C1C2C3C1C2+C2C3+C1C3=2渭F.

Therefore the charge on each capacitor is

q=CV=60渭C.

Then the potential difference on each capacitor is given as

V1=qC1=5V,V2=qC2=15V,V3=qC3=10V.

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Most popular questions from this chapter

Derive Equation 26.33 for the induced surface charge density on the dielectric in a capacitor.

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