A parallel plate capacitor is charged by connecting it to a battery through a resistor. If I is the current in the circuit, then in the gap between the plates :
- there is no current.
- displacement current of magnitude equal to 1 flows in the same direction as 1.
- displacement current of magnitude equal to 1 flows in a direction opposite to that of 1.
- displacement current of magnitude greater than 1 flows but can be in any direction.
The Correct Option is B
Solution and Explanation
Step 1: Define Displacement Current
The formula for displacement current is:
$$ I_d = \epsilon_0 \frac{d\Phi_E}{dt} $$
Definitions:
\( I_d \) represents the displacement current.
\( \epsilon_0 \) is the permittivity of free space.
\( \Phi_E \) denotes the electric flux.
\( t \) signifies time.
Step 2: Connect to Conduction Current
Within a capacitor circuit, the displacement current within the gap equals the magnitude of the conduction current in the connected wires, maintaining current continuity.
Step 3: Summarize Findings
The displacement current flows in the identical direction and possesses the same magnitude as the conduction current.
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