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 I flows in the same direction as I
- 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
Answer
(2) Displacement current of magnitude equal to I flows in the same direction as I
Solution
In the gap, the changing electric field gives a displacement current
Id = 0 d Edt = 0 A ddt ( q 0 A ) = dqdt = I
Current is continuous through the circuit, so Id equals I and flows in the same direction as I.
Answer: (2)