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Q.

Figure shows infinitely long bent wires in the plane of paper and each carrying a current ‘i’ with ‘O’ as origin and x and y axis as shown, co-ordinates of points P & Q are (2m, 0) and (6m, 0) respectively. Magnetic induction at P is given by  αμ0i32π .Then find the value of  α __________
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answer is 6.

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Detailed Solution

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Magnetic field at P is only due to portion AO and BQ and direction of field at P due to both section will be same.

BP=μ0i4π×2+μ0i4π×4=3μ0i16π

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