GATE EC 2019 Set 1 — Question 46
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Electromagnetics → Maxwell's Equations → Differential & Integral Forms
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Question
Two identical copper wires W1 and W2, placed in parallel as shown in the figure, carry currents and , respectively, in opposite directions. If the two wires are separated by a distance of , then the magnitude of the magnetic field between the wires at a distance from W1 is
Correct answer
(C) (5 μ₀ I)/(6 π r)
Solution
The magnetic field due to an infinitely long straight wire at a distance is .Let the point of interest be at distance from W1 and from W2 (since total separation is ).
1.Field due to W1 (): .
2.Field due to W2 (): .
Since the currents are in opposite directions, the magnetic fields produced by both wires at any point between them will be in the same direction (into or out of the page depending on current direction). Therefore, the magnitudes add up:Continue learning with Success Tracker
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