Capacitor `C_(1)` of the capacitance `1muF` and another capacitor `C_(2)` of capacitance `2muF` are separately charged fully by a common battery.The two capacitors are then separately allowed to discharge through equal resistors at time `t=0`.

Options

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 equal
D. capacitor `C_(1)` loses 50% of its initial charge sooner than `C_(2)` loses 50% of its initial charge

Answer

B, D

Explanation

The charge current in the circuit is , `i=i_0r^(t//CR)`
Here V is the potential with which capacitor was charged since,C and R for both the capacitor are same , initial discharging current will be same but non zero.
Correct option is (B)
Further ,`tau_c=CR, c_1 lt c_2 or tau_(c1) gt tau_(c2)`
or `c_1` losses its 50% of initial charge sooner than `c_2 therefore ` Option D is also correct