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

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 42P
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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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