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Q.

A specially uniform magnetic field of 0.080 T is directed into the plane of the page and perpendicular to it, as shown in the accompanying figure. A wire loop in the plane of the page has constant area 0.010 m². The magnitude of the magnetic field decreases at a constant rate of 3.0 X 10^-4 T/s. The magnitude and direction of the induced emf is

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a

3.0 X 10 ^-6 V anticlockwise

b

2.4 X 10^-5 V anticlockwise

c

8.0 X 10^-4 V clockwise

d

3.0 X 10^-6 V clockwise

answer is A.

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Detailed Solution

$e = A \frac{dB}{dt} = 10^{- 2} \times 3 \times 10^{- 4} = 3 \times 10^{- 6}$

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A specially uniform magnetic field of 0.080 T is directed into the plane of the page and perpendicular to it, as shown in the accompanying figure. A wire loop in the plane of the page has constant area 0.010 m2. The magnitude of the magnetic field decreases at a constant rate of 3.0 X 10 -4 T/s. The magnitude and direction of the induced emf is