A capacitor is connected to a 12 V battery through a resistance of `(10Omega)`.It is found that the potential difference across the capacitor rises to 4.0 V in 1(mu)s. find the capacitance of the capacitor.

Explanation

To find the capacitance of the capacitor, we can follow these steps:

### Step 1: Understand the Circuit
A capacitor is connected to a 12 V battery through a resistance of \(10 \, \Omega\). The potential difference across the capacitor rises to \(4.0 \, V\) in \(1 \, \mu s\).

### Step 2: Identify the Relevant Formula
The voltage across a charging capacitor can be described by the equation:
\[
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