Q 25 Capacitance
Q25. A number of capacitors, each of capacitance 1 F and each one of which gets punctured if a potential difference just exceeding 500 volt is applied are provided. Then an arrangement suitable for giving a capacitor of capacitance 3F across which 2000 volt may be applied required at least :
(A) 4 component capacitors (B) 12 component capacitors
(C) 48 component capacitors (D) 16 component capacitors
Dear Student,
First let us connect 4 capacitors (of specification 1F, 500V) in series. Then the net voltage will be 2000 V and the net capacitance will be 1/4 F. If 12 such parallel connections, each with 4 capacitors arranged in series, are configured, then the net capacitance of the configuration will be
C = 12 x 1/4 = 3F and V = 2000V (The potential across 'n' parallel connections will be the same as the first one).
Then the minimum number of capacitors required = 4 capacitors in series in 12 parallel connections
i.e, 4 x 12 =48
Option (C) is the right choice
Regards