Capacitor C1 of capacitance 1μF and capacitor C2 of capacitance 2μF are separately charged

Question

Capacitor C1 of capacitance 1&#956;F and capacitor C2 of capacitance 2&#956;F are separately charged fully by a common battery. The two capacitors are then separately allowed to discharge through equal resistore at time t = 0.

Accepted Answer

The discharging current in the circuit is,
i = i₀e^{- t/CR}
Here, i₀ = initial current =

Here, V is the potential with which capacitor was charged. Since, V and R for both the capacitors are same, inital discharge current will be same but non-zero.
∴ Correct option (b).
Further,

= CR
C₁ < C₂
or

or C₁, losses 50 % of its initial charge sooner then C₁
or Correct option (d).

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