Q. 17 5.0( 8 Votes )

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

B. 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?

Answer :

A) The capacitors between nodes P, R, S are in parallel combination as the nodes P, S and R, T are short circuited respectively, so,

The Equivalent resistance between P and T is C + C + C = 3C (Parallel combination of capacitors), now three capacitors C, 3C, and C are in series, So, net equivalent capacitance is,

B) The charge drawn from the battery is, q = CeqV

The energy stored in the network of capacitors is,

E = 21 μJ

Conclusions: -

The net equivalent capacitance of the network is 6/7 μF

The net charge drawn from the source is 6 μC

The total energy stored in the network of capacitors is 21 μJ

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