A 200-loop coil of cross sectional area 8.5 cm 2 lies in the plane of the page.

Question

A 200-loop coil of cross sectional area 8.5 cm2 lies in the plane of the page. An external magnetic field of 0.060 T is directed out of the plane of the page. The external field decreases to 0.020 T in 12 milliseconds.

(a) What is the magnitude of the change in the external magnetic flux enclosed by the coil? (Units is Tm^2)

(b) What is the magnitude of the average voltage induced in the coil as the external flux is changing? (units is V)

(c) If the coil has a resistance of 4.0 ohms, what is the magnitude of the average current in the coil? (Units is A)

Explanation / Answer

a, change of magnetic magnetic flux = NAdB

= 200* 8.5 *10^-4 * (0.06-0.02)

= 2.72 *10^-3 Tm^2

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b. induced emf e = d(flux)/dt

= 2.72*10^-3 /12*10^-3

= 0.2266 Volts

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c. induced current i = emf/R

i = 0.22667/4

i =0.056 Amps

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