Chapter 33, Problem 1PLA

To determine

The charge on the capacitor.

Answer to Problem 1PLA

Option (a) the charge on the capacitor is initially zero and finally $C\epsilon$.

Explanation of Solution

In Figure 33-1, initially the capacitor is uncharged. Therefore, the initially the charge store on the capacitor is zero.

If the switch is thrown to position $A$ at $t=0$, the capacitor starts to charge and increases exponentially until it reaches $C\epsilon$.

Conclusion:

1. (a) The charge on the capacitor is initially zero and increases exponentially until it reaches $C\epsilon$. Thus, option (a) is correct.
2. (b) The charge on the capacitor is initially zero. Thus, option (b) is incorrect.
3. (c) The charge on the capacitor is initially zero and finally $C\epsilon$. Thus, option (c) is incorrect.
4. (d) The final value of the capacitor is $C\epsilon$. Thus, option (d) is incorrect.