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Q.

Two concentric circular coils X and Y of radii 16 cm and 10 cm, respectively, lie in the same vertical plane containing the north to south direction. Coil X has 20 turns and carries a current of 16 A; coil Y has 25 turns and carries a current of 18 A. The sense of the current in X is anticlockwise, and clockwise in Y, for an observer looking at the coils facing west. The magnitude of the net magnetic field due to the coils at their centre is :

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a

5π×10−4 T

b

7π×10−4 T

c

π×10−4 T

d

9π×10−4 T

answer is A.

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Detailed Solution

Net field at common centre :B0net=μ02NyIyRy−NxIxRx=4π×10−7225×100.1−20×160.16=5π×10−4 T
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