Aparallel-plate capacitor with circular plates of radius 35 mm is being discharged by a current of 3.5 a. at what radius (a) inside and (b) outside the capacitor gap is the magnitude of the induced magnetic field equal to 80% of its maximum value? (c) what is that maximum value?

Explanation:

Given that,

Radius R= 35 mm

Current = 3.5 A

The magnetic field B is proportional to the r.

Magnetic field is maximum ,when r = R

(a). We need to calculate the radius inside the capacitor

The radius inside the capacitor is 28 mm.

(b). We need to calculate the radius outside the capacitor

The radius outside the capacitor is 43.75 mm.

(c). We need to calculate the maximum value

Using formula of magnetic field

Put the value into the formula

The maximum value of magnetic field is .

Hence, This is the required solution.