Question

Capacitor C₁ of capacitance 1 microfarad and capacitor C₂ of capacitance 2 microfarad are separately charged fully by a common battery. The two capacitors are then separately allowed to discharge through equal resistors at time
t = 0. Then –

• A. The current in each of the two discharging circuits is zero at t = 0
• B. The current in the two discharging circuits at t = 0 are equal but not zero
• C. The current in the two discharging circuits at t = 0 are unequal
• D. Capacitor C₂ loses 50% of its initial charge sooner than C₁ loses 50% of its initial charge

Answer 1

Answer: (B)

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

Answer 2

C₁ = 1mF C₂ = 2mF

R = same \ time constant

t₁ = RC₁ t₂ = RC₂

t₁ < t₂ \ C₁ discharges soon

\ current in discharging

i = $\frac { E } { R } e ^ { - t / R C }$

at t = 0, i = = same for both but not zero