Question

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 resistor at time t=0 

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

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

(c) The current in the two discharging circuit at t=0 are unequal 

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

Answer 1

Correct option  (b, d)

Explanation:

 The discharging current in the circuit is,

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. 

or C₁ loses its 50% of initial charge sooner the C₂. 

∴ Option (d) is also correct