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Chapter 26: Q. 62 (page 740)

A battery with an emf of 60Vis connected to the two capacitors shown in FIGURE P26.62. Afterward, the charge on capacitor 2is 450渭C. What is the capacitance of capacitor 2?

Short Answer

Expert verified

The capacitance of capacitor2is20渭C.

Step by step solution

01

Given information

We have given that the charge on capacitor 2is 450渭F.

We need to find the capacitance of capacitor2.

02

Simplify 

Considering this charge will be q, we have

C1U1=q=C2(U-U1),

Where we consoderUbe the emf of the battery, which since the capacitors are in series, leads to U2=U-U1. Now we can express the capacity of the second capacitor as

C2=qU-U1

Putting the value ofU1expressed with the charge and emf

localid="1648642860563" C2=qU-qC1=qUC1-qC1=qC1UC1-q

Using the numerical values

C2=4.5路10-4路1.2路10-560路1.2路10-5-4.5路10-4=2路10-5C

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