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: (a) There is no current (b) Displacement current of magnitude equal to I flows in the same direction as I (c) Displacement current of magnitude equal to I flows in a direction opposite to that of I (d) Displacement current of magnitude greater than I flows but can be in any direction

Answer: (b). Between the plates the conduction current is zero, but E grows as charge builds up. Displacement current Id = ε₀ (dΦE)/(dt) = dq/dt = I, and it points along the growing E, i.e. in the direction of I. So the answer is (b).

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Other: Induction & Displacement Current

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:

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Answer: (b)

Between the plates the conduction current is zero, but $\vec{E}$ grows as charge builds up.
Displacement current $I_d = \varepsilon_0 \frac{d\Phi_E}{dt} = \frac{dq}{dt} = I$ , and it points along the growing $\vec{E}$ , i.e. in the direction of $I$ .
So the answer is (b).

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