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Electrostatic Potential and Capacitance
Question
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Capacitor C1 of capacitance 1μF and capacitor C2 of capacitance 2 μF are separately charged fully by a common battery. The two capacitors are then separately allowed to discharged through equal resistors at time t =0

  • the current in each of the two discharging circuits is zero at t = 0

  • the currents in the two discharging circuits at  t= 0 are equal but non-zero

  • the currents in the two discharging circuits at t=0

  • Capacitor C1 loses 40% of its initial charge sooner than C2 loses 40% of the initial charge.

Answer

B.

the currents in the two discharging circuits at  t= 0 are equal but non-zero

Here Vo and R in the two CR circuits are same, hence, the currents in the two discharging circuits at t = 0 (V0/R) will be the same.

We know that time constant of a resistance and capacitance circuit is CR. Here time constant of the first circuit (Capacity C1 = 1μF) is half of the time constant of second circuit (Capacity C2 = 2μF). Hence, C1 loses 50% its initial charge sooner.

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