A capacitor with parallel circular plates of radius R = 3.10 cm is discharging v

Question

A capacitor with parallel circular plates of radius R = 3.10 cm is discharging via a current of 12.5 A. Consider a loop of radius R/3 that is centered on the central axis between the plates. (a) How much displacement current is encircled by the loop? The maximum induced magnetic field has a magnitude of 11.0 mT. At what radius (b) inside and (c) outside the capacitor gap is the magnitude of the induced magnetic field 2.50 mT?

I already found part A to be 1.38A and part C to be 13.6 cm, just need help with part B

Explanation / Answer

here is some help for question 2.

the inside of a capacitor can be considered as a wire in which current is flowing.

at a radius r find hown much displacement currrent is encircled by a circle of radius r. then use this value as the current and r as the distance from the wire in the formula for magnetic field of an infinite straight wire.

equate this to 2.50 mT.

If radius turns out to be more than given radius of capacitor then redo the question and take the current to be 12.5 A and distance r to find the magnetic field at the radius r. then again equate this field to 2.50 mT

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