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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
displacement current of magnitude equal to I flows in a direction opposite to that of I.
displacement current of magnitude greater than I flows but can be in any direction.
there is no current.
displacement current of magnitude equal to I flows in the same direction as I.
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Solution
displacement current of magnitude equal to I flows in the same direction as I.
Explanation:
During the capacitor’s charging process through a resistor connected to a battery, the current I primarily flows through the resistor. Similarly, a changing electric field exists between the capacitor plates, which generates a displacement current. According to Ampere’s law with Maxwell’s modification, the displacement current is equivalent in magnitude to the conduction current (I) and travels in the same direction.
