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In the figure, a uniform magnetic field B is confined to a cylindrical volume of

ID: 2070208 • Letter: I

Question


In the figure, a uniform magnetic fieldBis confined to a cylindrical volume of radius0.01m.Bis directed into the plane of the paper and is increasing at a constant rate of ?B/?t =0.900T/s. Calculate the magnitude and direction of the current induced in a circular wire ring of radius 0.16 m and resistance4.5? that encircles the magnetic field region.

In the figure, a uniform magnetic fieldBis confined to a cylindrical volume of radius0.01m.Bis directed into the plane of the paper and is increasing at a constant rate of ?B/?t =0.900T/s. Calculate the magnitude and direction of the current induced in a circular wire ring of radius 0.16 m and resistance4.5? that encircles the magnetic field region.

Explanation / Answer

the current produced will be in the counter-clockwise direction and the magnitude is given by

i = 0.9*pi*0.01^2/4.5 = 2*10^-5 T