A capacitor of capacitance C is connected to a battery of emf `(epsilon)`at t=0 through a resistance R. Find the maximum rate at which energy is stored in the capacitor. When does the rate has this maximum value?

Explanation

To solve the problem step by step, we will follow the outlined procedure to find the maximum rate at which energy is stored in the capacitor and the time at which this maximum rate occurs.

### Step-by-Step Solution:

1. **Understanding the Problem:**
- We have a capacitor of capacitance \( C \) connected to a battery with emf \( \epsilon \) through a resistor \( R \) at \( t = 0 \).
- We need to find the maximum rate at which energy is stored in the capacitor and the time at which this maximum occurs.

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