GATE EE 2014 Set 2 — Question 42
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Electromagnetic Fields → Magnetostatics → Ampere's Law
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Question
The magnitude of magnetic flux density () at a point having normal distance meters from an infinitely extended wire carrying current of A is (in SI units). An infinitely extended wire is laid along the x-axis and is carrying current of 4 A in the +ve x direction. Another infinitely extended wire is laid along the y-axis and is carrying 2 A current in the +ve y direction. is permeability of free space. Assume to be unit vectors along x, y and z axes respectively.
Assuming right handed coordinate system, magnetic field intensity, at coordinate (2,1,0) will be
Assuming right handed coordinate system, magnetic field intensity, at coordinate (2,1,0) will be
Correct answer
(C) (3)/(2π) k A/m
Solution
1.Magnetic field intensity due to an infinite wire is given by .
2.For the wire along the x-axis ( A): At point (2,1,0), the distance m. By the right-hand rule, the direction is .
A/m.3.For the wire along the y-axis ( A): At point (2,1,0), the distance m. By the right-hand rule, the direction is .
A/m.4.Total magnetic field intensity A/m.
5.Note that the unit for is A/m, making option C correct.
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