Q.

The magnetic field in the cylindrical region shown in figure increases at a constant rate of 20 mT/s. Each side of the square loop ABCD has a length of 1 cm and resistance of 4 Ω. Find the current in the wire AB if the switch S is closed

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a

1.25×10−7A  (anticlockwise)

b

1.25×10−7A  (clockwise)

c

2.5×10−7A (anticlockwise)

d

2.5×10−7A (clockwise)

answer is A.

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Detailed Solution

i=eR=AR⋅dBdt=1×10−2216×20×10−3=1.25×10−7 A  (Anti-clockwise).
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The magnetic field in the cylindrical region shown in figure increases at a constant rate of 20 mT/s. Each side of the square loop ABCD has a length of 1 cm and resistance of 4 Ω. Find the current in the wire AB if the switch S is closed