The switch in Figure 28.38a closes at t = 0 s and, after a

Problem 28.120

The switch in Figure 28.38a closes at  and, after a very long time, the capacitor is fully charged. Find expressions for (a) the total energy supplied by the battery as the capacitor is being charged, (b) total energy dissipated by the resistor as the capacitor is being charged, and (c) the energy stored in the capacitor when it is fully charged. Your expressions will be in terms of , R, and C. (d) Do your results for parts a to c show that energy is conserved?

                                                         Step by Step Solution

Step 1 of 4

The resistance is .

The emf is .

The capacitor is .

(a)

In order to determine the total energy supplied by the battery as the capacitor is being charged, we have to:

Apply the expression of power of the capacitor.

For,  and  .

Therefore,