A parallel-plate capacitor with circular plates of radius 55 mm is being dischar

Question

A parallel-plate capacitor with circular plates of radius 55 mm is being discharged by a current of 5.0 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? A parallel-plate capacitor with circular plates of radius 55 mm is being discharged by a current of 5.0 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 / Answer

a)

Inside the capacitor

(0.8 Bmax / Bmax) = r1 / R

r1 =0.8R=0.8*55=44 mm

b)

outside the capacitor

( 0.8 Bmax / Bmax) = (r2 / R)-1

r2 = R / 0.8=55/0.8

r2=68.75 mm

c)

THe maximum value of magnetic field

Bmax = uo i / 2? R= (4pix 10-7)(5) / 2pi* (55x10-3)

Bmax=1.818*10-5T

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