Question

Capacitor C₁ of capacity 1 mF and capacitor C₂ of capacity 2 mF are separately charged fully by a common battery. The two capacitors are then separately allowed to discharged through equal resistors at t = 0 –

• A. At t = 0 the value of current in the circuit containing 1 mF is more than current in the circuit containing 2 mF
• B. At t = 0 the current in 2mF capacitor circuit is more than current in 1mF capacitor circuit
• C. 1 mF capacitor losses 50 % charge sooner than 2mF capacitor
• D. 2mF capacitor losses 50 % charge sooner than 1mF capacitor

Answer 1

Answer: (C)

1 mF capacitor losses 50 % charge sooner than 2mF capacitor

Answer 2

I₀ = Since both capacitors are charged to same potential difference hence current at t = 0 will be same in both circuits.

Time taken in 50 % discharging = 0.693 RC

\ 1mF will take less time compared to 2mF