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JIPMER 2017
Exam
JIPMER
Year
2017
Subject
Physics
Chapter
Capacitance

JIPMER 2017 · Physics · Capacitance

Capacitor C_1 of capacitance 1 μ F and capacitor C_2 of capacitance...

Capacitor C1C_1 of capacitance 1μF1 \mu \mathrm{F} and capacitor C2C_2 of capacitance 2μF2 \mu \mathrm{F} are separately charged fully by a common battery. The two capacitors are then separately allowed to discharged through equal resistors at time t=0t=0

Options

  1. Athe current in each of the two discharging circuits is zero at t=0t=0
  2. Bthe currents in the two discharging circuits at t=0t=0 are equal but non-zero
  3. Cthe currents in the two discharging circuits at t=0t=0
  4. DCapacitor C1C_1 loses 40%40 \% of its initial charge sooner than C2\mathrm{C}_2 loses 40%40 \% of initial charge.

Correct answer

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

Step-by-step solution

Here, V0V_0 and RR in the two CRC R circuits are same, hence the currents in the two discharging circuits at t=0t=0\left(V_0 / R\right)willbesame.Weknowthat,timeconstantofaresistanceandcapacitancecircuitiswill be same. We know that, time constant of a resistance and capacitance circuit isC R.Here,timeconstantoffirstcircuit(capacity. Here, time constant of first circuit (capacityC_1=1 \mu F)ishalfofthetimeconstantofsecondcircuit(capacity) is half of the time constant of second circuit (capacityC_2=2 \mu F).Hence,). Hence,C_1losesloses50 \% its initial charge sooner.
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