CapacitanceMedium

Question

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:

Options

A.Displacement current of magnitude equal to $I$ flows in a direction opposite to that of $I$
B.Displacement current of magnitude greater than $I$ flows but can be in any direction
C.There is no current
D.Displacement current of magnitude equal to $I$ flows in the same direction as $I$

Solution

Sol. [Key Concept: Capacitor with a dielectric — change in charge/energy]

According to modified Ampere's law

$\text{∮}$ $\text{ }B.dl = \mu_{0}\left( I_{C} + I_{D} \right)$

For Loop $L_{1}\ I_{C} \neq 0$ and $I_{D} = 0$

For Loop $L_{2}\ I_{C} = 0$ and $I_{D} \neq 0$

Due to KCL $\ I_{C} = I_{D}$

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