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Q.

Two long parallel transmission lines 40.0 cmapart carry 25.0 A and 75.0 Acurrents. Find the locations where the ent magnetic field of the two wires is zero if these currents are in same direction?

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a

Between the wires, 30.0 cm from wire carrying 75.0 A

b

Between the wires, 20.0 cm from wire carrying 75.0 A

c

Between the wires, 30.0 cm from wire carrying 35.0 A

d

Between the wires, 30.0 cm from wire carrying 5.0 A

answer is A.

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Detailed Solution

If currents are in the same direction, then along and below the wires magnetic fields are in the same direction. Hence, they can't produce zero magnetic fields. In between the wires, let B=0 at a distance r cm from the wire carrying 75 A current. Then, μ02π75r=μ02π2540-π

Solving, we get r=30 cm

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Two long parallel transmission lines 40.0 cmapart carry 25.0 A and 75.0 Acurrents. Find the locations where the ent magnetic field of the two wires is zero if these currents are in same direction?