A parallel-plate capacitor of plate area A and plate separation d is being charged by a steady current I through connecting wires.
a. (i) Explain why the magnetic field calculated by the original form of Ampère’s circuital law gives contradictory results in the region between the plates during the charging process.
b. (ii) Describe how the inclusion of displacement current removes this contradiction and restores consistency with the continuity equation for charge.
c. (iii) Identify the region(s) in and around the capacitor where displacement current exists while the capacitor is charging, and compare its magnitude with that of the conduction current in the wires.