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A circular loop of wire of resistance R = 0.500 ? and radius r = 7.90 cm is in a

ID: 2263092 • Letter: A

Question

A circular loop of wire of resistance R = 0.500 ? and radius r = 7.90 cm is in a uniform magnetic field directed out of the page as in the figure below.

A circular loop of wire of resistance R = 0.500 ? and radius r = 7.90 cm is in a uniform magnetic field directed out of the page as in the figure below. If a clockwise current of I = 2.40 mA is induced in the loop is the magnetic field increasing or decreasing in time? increasing decreasing Find the rate at which the field is changing with time.

Explanation / Answer

a. increasing

b. induced emf e = NA dB/dt

but emf e = iR = 2.4*10^-3 *0.5 = 1.2 mVolts

now dB/dt = 1.2*10^-3 /(3.14*0.079^2)

dB/dt = 61.23 mT/s

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