An N -turn circular wire coil of radius r lies in the xy -plane, as shown in the

Question

An N-turn circular wire coil of radius r lies in the xy-plane, as shown in the figure below. A uniform magnetic field is turned on, increasing steadily from 0 to B0 in the negative z-direction in t seconds. (Use any variable or symbol stated above along with the following as necessary: R and .)

(b) Looking down at the xy-plane from the positive z-axis, is the direction of the induced current clockwise or counterclockwise?


(c) If each loop has resistance R, find an expression for the magnitude of the induced current, I.

Explanation / Answer

a) E = -N*d(BA)/dt = -N**r^2*(dB/dt) = -N**r^2*(Bo/t)

b) using RHR, the direction of the induced current is clockwise

c) induced current = I = E/R =  (-N**r^2*Bo)/(R*t)

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