Question

Consider the situation illustrated in the Figure. A uniform electric field points in the z direction (out of the paper) with a value given by E_z(t) =Asinωt, where A = 90 V/m and ω =1,000 radians/sec and is confined to a circular area with a radius R = 2 meters. What is the maximum magnitude of the magnetic field (in picoTesla) at a point P on the circumference of the circle?

Answer 1

We know from Ampere's Law (with J = 0) that

If I choose my orientation to by counter-clockwise then ΦE = EπR² and

and solving for B gives