Electrostatics 6 Question 6

6. Capacitor C1 of capacitance 1μF and capacitor C2 of capacitance 2μF are separately charged fully by a common battery. The two capacitors are then separately allowed to discharge through equal resistors at time t=0.(1989,2M)

(a) The current in each of the two discharging circuits is zero at t=0

(b) The currents in the two discharging circuits at t=0 are equal but not zero

(c) The currents in the two discharging circuits at t=0 are unequal

(d) Capacitor C1, loses 50 of its initial charge sooner than C2 loses 50 of its initial charge

Integer Answer Type Questions

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Solution:

  1. The discharging current in the circuit is,

Here, i0= initial current =VR

Here, V is the potential with which capacitor was charged.

Since, V and R for both the capacitors are same, initial discharging current will be same but non-zero.

Correct option is (b).

Further, τc=CRC1<C2 or τC1<τC2 or C1 loses its 50 of initial charge sooner than C2.

Option (d) is also correct .



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