Question

In the circuit shown, that contains a capacitor C and a resistor R, the capacitor C is uncharged initially. When the terminal X is joined to the terminal Y for a long time, it is observed that a heat H₁ is produced in the resistor. When the terminal X is joined to the terminal Z, again for a long time, it is observed that a heat H₂ is produced in the resistor. Also, energy supplied by the battery during the process of charging is H. Then 

(a) H₁ = H₂ = H/2

(b) H₁ = H₂ = 2H

(c) H₁ = H₂ = H

(d) The maximum energy stored in C at any time is H₁

Answer 1

Correct option: (a, c, d)

Explanation: 

When X is joined to Y for a long time (charging), the energy stored in the capacitor is equal to the heat produced in R i.e., H₁ 

When X is joined to Z (discharging), the energy stored in (C = H₁) reappears as heat (H₂) in R. So, 

H₁ = H₂ . Also, we observe that energy supplied by the battery is H = H₁ + H₂