A parallel plate capacitor is charged by connecting it to a battery through a resistor. If is the current in the circuit, then in the gap between the plates:
- Athere is no current.
- Bdisplacement current of magnitude equal to flows in the same direction as .
- Cdisplacement current of magnitude equal to flows in a direction opposite to that of .
- Ddisplacement current of magnitude greater than flows but can be in any direction.
Solution & Step-by-step Explanation
According to the Ampere-Maxwell law, the conduction current in the wires is equal to the displacement current in the gap between the capacitor plates to maintain continuity of current.
In magnitude, , and it acts in the same direction to complete the circuit.
In magnitude, , and it acts in the same direction to complete the circuit.