a current of 10A flows into a parallel plate capacitor with square plates with area .5m^2

how do you find the dE/dt between the plates?

what is the line integral B.dl around a circular closed contour with a diameter of 10cm perpendicular to the electric field?

1 answer

The capacitance C of that capacitor is

C = epsilon*A/d
Also, the charge on the plates is
Q = CV

dQ/dt = I = C dV/dt = (C*d)dE/dt
= epsilon*A*dE/dt

where epsilon is the permittivity of the speace between the plates. d, the dap between the plates, cancels out. Solve for dE/dt.

Use Ampere's law to answer your second question. The line integral of B is proportional to the current I through the loop and a permeability constant, mu