How many time constant will elapse before the power delivered by the battery drops to half of its maximum value in RC circuit.

Explanation

To solve the problem of how many time constants will elapse before the power delivered by the battery drops to half of its maximum value in an RC circuit, we can follow these steps:

### Step 1: Understand the Power in an RC Circuit
In an RC circuit, when a capacitor is charging, the current \( I \) through the circuit decreases over time. The power \( P \) delivered by the battery can be expressed as:
\[ P = I \cdot V \]
where \( V \) is the voltage of the battery (which remains constant).
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