An inducatane L and a resistance R are connected in series with a battery of emf epsilon. Find the maximum rate at which the energy is stored in the magnetic field.

Explanation

To find the maximum rate at which energy is stored in the magnetic field of an inductor connected in series with a resistance and a battery, we can follow these steps:

### Step 1: Understand the Circuit
We have an inductor \( L \) and a resistor \( R \) connected in series with a battery of emf \( \epsilon \). The current \( I \) in the circuit increases over time as the inductor builds up its magnetic field.

### Step 2: Write the Expression for Current
The current \( I(t) \) at any time \( t \) is given by the formula:
\[
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