Consider a simple RC circuit as shown in Figure 1 Process 1 In the circuit...
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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 Vo i e charging continues for time T RC In the process some dissipation ED occurs across the resistance R The amount of energy finally stored in the fully charged capacitor is Ec 3 Process 2 In a different process the voltage is first set to and maintained for a charging time 2V0 without discharging the capacitor and again T RC Then the voltage is raised to maintained for a time T RC The process is repeated one more time by raising the voltage to V and the capacitor is charged to the same final voltage Vo as in Process 1 3 These two processes are depicted in Figure 2 www R N www Figure 1 C V Process 1 2V 3 V 3 Process 2 T T RC 2T Figure 2 7 Q 15 In Process 1 the energy stored in the capacitor Ec and heat dissipated across resistance Ep are related by A Ec Ep B Ec Ep In 2 C Ec Ep D Ec 2ED Q 16 In Process 2 total energy dissipated across the resistance Ep is A Ep CV B Ep 3 CV C Ep CV ED
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