A capacitor of capacitance C is connected to a battery of emf V through a resistance R with a switch connected in series .Switch is turned on at t=0 . Find the displacement current flowing between the plates of capacitor as a function of time .

Explanation

To find the displacement current flowing between the plates of a capacitor as a function of time, we can follow these steps:

### Step 1: Understand the Circuit
A capacitor of capacitance \( C \) is connected to a battery of emf \( V \) through a resistance \( R \). When the switch is turned on at \( t = 0 \), the capacitor begins to charge.

### Step 2: Determine the Charge on the Capacitor
The charge \( q \) on the capacitor as a function of time \( t \) can be expressed as:
\[
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