, E C =E D

, E C =E D ln2

, and E C = E D

. ONLY ONE of these four options is correct • For each question, marks will be awarded in one of the following categories : Full Marks : +3 If only the bubble corresponding to the correct option is darkened Zero Marks : 0 In all other cases PARAGRAPH 1 Consider a simple RC circuit as shown in Figure 1. Process 1: In the circuit the switch S is closed at t = 0 and the capacitor is fully charged to voltage V 0 (i.e. charging continues for time T >> RC). In the process some dissipation (E D ) occurs across the resistance R. The amount of energy finally stored in the fully charged capacitor is E C . Process 2: In a different process the voltage is first set to and maintained for a charging time T>>RC. Then the voltage is raised to without discharging the capacitor and again maintained for time T >>RC. The process is repeated one more time by raising the voltage to V 0 and the capacitor is charged to the same final voltage V 0 as in Process 1. These two processes are depicted in Figure 2. (i) In Process 1, the energy stored in the capacitor E C and heat dissipated across resistance E D are released by: E C =2E D (ii) In Process 2, total energy dissipated across the resistance E D is: