GATE EE 2015 Set 1 — Question 22
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Engineering Mathematics → Calculus
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Question
A steady current is flowing in the direction through each of two infinitely long wires at as shown in the figure. The permeability of the medium is . The -field at is

Correct answer
(A) -(4μ₀ I)/(3π L)z
Solution
The magnetic flux density of an infinitely long straight wire at perpendicular distance iswith direction , where is the current direction and is the unit vector from the wire to the field point.Both wires carry current in the direction, and the field point lies on the side of both wires, so for each:Wire at : distance
Wire at : distance
Total field:This matches option (A).Answer: (A)
Wire at : distance
Total field:This matches option (A).Answer: (A)
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