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Question

Four capacitors and a battery are connected as shown in figure. If the potential difference across the 7μF capacitor is 6V, then which of the following statement(s) is/are correct?

155255_2623d83a1e7047c99882d625df0dd5da.png

A
The potential drop across the 12μF capacitor is 10V
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B
The charge in the 3μF capacitor is 42μC
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C
The potential drop across the 3μF capacitor is 10V
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D
The emf of the battery is 30V
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Solution

The correct options are
A The potential drop across the 12μF capacitor is 10V
B The charge in the 3μF capacitor is 42μC
D The emf of the battery is 30V
Equivalent capacitance of network is Ceq=4μF.
Charge Q=CeqV=4VμC
The charge on the 7μF or 3μF capacitor is
Q2=(7μF)(6V)=42μC
Q22.1μF=Q112μForQ1=(42μC)(3.9μF)(2.1μF)=78μC
Q=Q1+Q2=(78μC+42μC)=120μC=4VμC
Emf of the battery is V=30V
The potential drop across 12μF capacitor is
Q12μF=120μC12μF=10V
172505_155255_ans_a214520224da4392ac43e2fb6076ca7e.png

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