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Capacitors - Engineering

Q1:

Two series capacitors (one 2 F, the other of unknown value) are charged from a 24 V source. The 2 F capacitor is charged to 16 V and the other to 8 V. The value of the unknown capacitor is

A 1 F

B 2 F

C 4 F

D 8 F

ANS:C - 4 F

Data given as c1 = 2 microfarad, v1 = 16V; v2 = 8V, c2 = ?

In series circuit current is same. In 1st capacitor charge store q1 is c1xv1 = 2x16 = 32 microcoulomb.

So c2 = q/v2 = 32/8 = 4 microfarad.

Answer: 4 microfarad.