What is the ratio of conduction current magnitude to displacement current magnitude through the capacitor?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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There is a parallel-plate capacitor consists of two circular metal disks of radius R = 0.40 m separated by an insulating medium of permittivity (Epsilon)= 8.0(Epsilon)0(Naught) with thickness d = 0.20 mm. From Q = CV , a current I = dQ/dt coming on a wire into the positive terminal implies a changing voltage difference between the plates, dV/dt.

The dielectric has a poor conductivity σ = 0.25 Ω·m, and is driven with an AC signal at frequency f = 400 MHz. What is the ratio of conduction current magnitude to displacement current magnitude through the capacitor?

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