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 a 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 related by:
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i)
Sol. E C = 
; E D = V 0 CV 0 – 
= 
∴ E C = E D
(ii)
Sol. 
= 
= 
= 
= 
= 
Total = 
= 
E D = 
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