Magnetic Field with 3 conductors

Three infinitely long thin conductors are joined at the origin of coordinates and lies along the , y and z-axes. A current i flowing along the conductor lying along the negative x-axis divides equally into the other two at origin. The magnitude of magnetic field at the point (0,-a,0) is expressed as α μ i β π a \frac { { \sqrt { \alpha } }{ { \mu }_{ \circ } }{ i } }{ { \beta }{ { \pi }{ a } } } then value of α + β { \alpha + }{ \beta } is ?


The answer is 13.

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