A capacitor with parallel circular plates of radius R is discharging via a curre

Question

A capacitor with parallel circular plates of radius R is discharging via a current of 10.0 A. Consider a loop of radius R/6 that is centered on the central axis between the plates. How much displacement current is encircled by the loop?

2.78×10-1 A You are correct.

The maximum induced magnetic field has a magnitude of 50 mT. At what radial distance from the central axis of the plate is the magnitude of the induced magnetic field 15.00 mT? (enter as a fraction of R)

Just need the second part of the problem for the radial distance, Answer in actual number please no variables

Explanation / Answer

the current is,

I = [(R/6)/R]2i = 10/36 = 2.78×10-1 A

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for inside:

the radial distance is,

r = [B/Bmax]R = [15 mT / 50 mT]R = 0.3R

for outer side:

the radial distance is,

    r = [Bmax/B]R = [50 mT / 15 mT]R = 3.33R

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