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Two long parallel wires P and Q are held perpendicular to the plane of paper with distance of 5 m between them. If P and Q carry current of 2.5 amp and 5 amp respectively in the same direction, then the magnetic field at a point half-way between the wires is

a
μ0/17
b
3μ0/2π
c
μ0/2π
d
3μ0/2π

detailed solution

Correct option is C

B=μ04π×2i2(r/2)−μ04π×2i1(r/2)=μ04π×4i2−i1r=μ0π×(5−2⋅5)5=μ02π

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