In charging singe loop R - C circuit, after how many time constant, the potential energy in the capacitor will be 25% of its maximum value.

Explanation

To solve the problem of determining how many time constants it takes for the potential energy in a capacitor to reach 25% of its maximum value in a charging single loop R-C circuit, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Potential Energy in a Capacitor**:
The potential energy \( U \) stored in a capacitor at any time \( t \) is given by:
\[
U = \frac{q^2}{2C}
...