A 10 cm diameter parallel plate capacitor has a 1 mm spacing. The electric field between the plates is increasing at the rate of 1.0 * 10 ^6 V/ms. What is the magnetic field strength (a) on the axis (b) 3.0 cm from the axis
The Attempt at a Solution
dE/dt = 1.0 e6
displacement current = dFlux/dt * permittivity constant = dE/dt * A * 8.85e-12
displacement current = 1.0e6 * pi * .05^2 * 8.85e-12 = 6.95e-8
The first part of the Ampere Maxwell equation falls out, leaving
B*s = displacement current
For on axis s= 0 , so is the magnetic field infinite?
B*2pi*.03 = 6.95e-8 B = 3.688 e-7 T
Is this correct?