Four capacitors and a battery are connected as shown in figure. If the potential difference across the 7 μF capacitor is 6 V then which of the following statement(s) is/are correct?
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a
The potential drop across the 12 μF capacitor is 10 V.
b
The charge in the 3 μF capacitor is 42 μC.
c
The potential drop across the 3 μF capacitor is 10 V.
d
The emf of the battery is 30 V.
answer is A.
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Detailed Solution
Equivalent capacitance of network is Ceq=4μF.Charge Q=CeqV=4VμCThe charge on the 7 μF or 3 μF capacitor isQ2=(7μF)(6V)=42μCQ22.1μF=Q13.9μF or Q1=(42μC)(3.9μF)(2.1μF)=78μCQ=Q1+Q2=(78μC+42μC)=120μC=4VμCEmf of the battery is V = 30 V The potential drop across 12 μF capacitor isQ12μF=120μC12μF=10V