Capacitor `C_1` of capacitance 1 micro-farad and capacitor `C_2` of capacitance 2 microfarad are separately charged fully by a common battery. The two capacitors are then separately allowed to discharged 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 unequal.
D. Capacitors`C_1`, losses 50% of its initial charge sooner than `C_2` loses 50% of its initial charge.

Answer

B, D

Explanation

(b,d) KEY CONCEPT : During decay of charge in R.C. circuit,
`I = I_0e^(-t//RC)`
where `I_0 = q_0/(RC)`