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Q.

Equal currents are flowing in three infinitely long wires along positive x,y and z-direction. The magnetic field at a point 0,0,-a would be (i=current in each wire)

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a

μ0i2πaj^-i^

b

μ0i2πai^-j^

c

μ0i2πai^+j^

d

μ0i2πa-i^-j^

answer is A.

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Detailed Solution

Magnetic field due to current in the wire along z-axis is zero. Magnetic field due to wire along x-axis is along j^ direction and magnetic field due to wire along y-axis is along -i^ direction. Both wires produce 

B=μ02πia

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