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Question

A pair of stationary and infinitely long bent wires are placed in the x-y plane as shown in figure. The wires carry a current I=10A each as shown. The segments L and M are along X- axis. the segments P and Q are along the Y- axis such that OS=OR=0.02m. The magnitude and direction of the magnetic induction at origin O is :

24010_ec6628f285fd4c3a8b2f7d81804d96d8.png

A
100 Wbm2 vertically upward
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B
104Wbm2 vertically downward
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C
104Wbm2 vertically upward
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D
102Wbm2 vertically downward
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Solution

The correct option is C 104Wbm2 vertically upward
B=B1+B2
=μ0i14πr1+μ0i24πr2 (wire is semi-infinite)
=107×100.02+107×100.02
=104Wbm2

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