Capacitor – JEE Advanced Previous Year Questions with Solutions

JEE Advanced Previous Year Questions of Physics with Solutions are available at eSaral. Practicing JEE Advanced Previous Year Papers Questions of Physics will help the JEE aspirants in realizing the question pattern as well as help in analyzing weak & strong areas.

Simulator

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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 $\left.\mathrm{V}_{0} \text { (i.e., charging continues for time } \mathrm{T}>>\mathrm{RC}\right)$. In the process some dissipation $\left(\mathrm{E}_{\mathrm{D}}\right)$ occurs across the resistance R. The amount of energy finally stored in the fully charged capacitor is $\mathrm{E}_{\mathrm{c}}$.

Process 2 : In a different process the voltage is first set to $\frac{\mathrm{v}_{0}}{3}$ and maintained for a charging time T >> RC. Then the voltage is raised to $\frac{2 v_{0}}{3}$ without discharging the capacitor and again maintained for a time T >> RC. The process is repeated one more time by raising the voltage to $\mathrm{V}_{0}$ and the capacitor is charged to the same final voltage $\mathrm{V}_{0}$ as in Process 1.

These two processes are depicted in Figure 2.