Suppose that a parallel-plate capacitor has circular plates with radius R = 30 mm and a plate separation of 5.0 mm. Suppose also that a sinusoidal potential difference with a maximum value of 150 V and a frequency of 60 Hz is applied across the plates, that is, V = (150 V) sin[2π(60 Hz)t].
(a) Find B max(R), the maximum value of the induced magnetic field that occurs at r = R.
(b) Plot B max(r) for 0 < r < 10 cm.