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?
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