Question

Within a capacitor, what would happen to the changing electric field, if the displacement current's magnetic field(B_d) was increased or decreased by an exterior source(Exterior B)?

Please explain, and relate it to the discharge/charge states(Assume the capacitor was either charging, discharging while the exterior magnetic field was introduced for a short duration of time).

Answer 1

lets assume the capacitor was charging when the external magnetic field was applied to increase the magneitc field of the displacement current

now, the displacement current is in the directoin of the current while charging of the capacitor
hence increasing the magnetic field will induce induced current trying to reverse this external disturbance, resulting in reduction of net current in the circuit at that point of time, which wil be achieved by weakening of the changing electric field in the charging capacitor

now while discharging, the the displacement curernt is in the direciton of the current in the wire. this external magnetic field will will reduce this current again , by inducing electric field opposite to the direction of current, thaat is in the direciotn of charging current
this induced electric field superimposes with the already existent electric field in the capacitor to amlify it ( in hte direction of charging current as the direciton of electric field inside a capacitor will remain the same till the plate gets to 0 charge or reverses the polarisation of the charged plates)