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Q.

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

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a

3μ02π

b

μ0π

c

3μ02π

d

μ02π

answer is D.

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Detailed Solution

In the following figure, magnetic field at mid point M is given byBnet = BQ−BP=μ04π . 2r  iQ −iP= μ04π ×  22.5  5−2.5 =  μ02π
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Two long parallel wires P and Q are both perpendicular to the plane of the paper with distance 5 m between them. If P and Q carry current of 2.5 A and 5 A, respectively, in the same direction, then the magnetic field at a point half way between the wires is