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Electrostatic Potential And Capacitance

Question
CBSEENPH12039379

(i) Find equivalent capacitance between A and B in the combination given below. Each capacitor is of 2μF capacitance.


(ii) If a dc source of 7 V is connected across AB, how much charge is drawn from the source and what is the energy stored in the network?

Solution

1 over straight C subscript eqv space equals space 1 half space plus 1 over 6 space plus 1 half space equals space 7 over 6
straight C subscript eqv space equals space 6 over 7 space μF
ii right parenthesis space straight Q space equals space straight C subscript eqv straight V space equals space 6 over 7 space straight x space 7 space equals space 6 space μC
straight E space equals 1 half space CV squared space equals space 1 half space straight x 6 over 7 straight x space left parenthesis 49 right parenthesis space equals space 21 space straight J

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