Consider two infinitely long wires parallel to Z-axis carrying same current I in the positive Z direction. One wire passes through the point $L$ at coordinates $(- 1, + 1)$ and the other wire passes through the point $M$ at coordinates $(- 1, - 1)$ . The resultant magnetic field at the origin $O$ will be

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B net ​ = 2 ​ B where B = 2 π r μ 0 ​ I ​ B net ​ = 2 π r μ 0 ​ I ​ 2 ​ j ^ ​ = 2 π 2 ​ μ 0 ​ I ​ × 2 ​ j ^ ​ and r = 2 ​ B net ​ = 2 π μ 0 ​ I ​ j ^ ​

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