A Student's Guide to Maxwell's Equations
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Problem 4.10

To directly measure the displacement current, researchers use a time-varying voltage to charge and discharge a circular parallel-plate capacitor.  Find the displacement current density and electric field as a function of time that would produce a magnetic field given by

where r is the distance from the center of the capacitor, ω is the angular frequency of the applied voltage ΔV, d is the plate spacing, and c is the speed of light.


Give me a HINT or show me THE FULL SOLUTION!