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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.**

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