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Q.

Same current i is flowing in three infinitely long wires along positive x-, y- and z-directions. The magnetic field at a point (0, 0, -a) would be

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a

μ0i2πa(j^-i^)

b

μ0i2πa(i^+j^)

c

μ0i2πa(i^-j^)

d

μ0i2πa(i^+j^+k^)

answer is A.

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Detailed Solution

Point (0, 0, -a) lies on z-axis, therefore magnetic field due to current along z-axis is zero and due to rest two wires is μ02πia in mutually perpendicular directions along positive y direction and negative x direction.∴  B→=μ02πia(j^-i^)
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