GATE EE 2023 Set 1 — Question 61
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Electromagnetic Fields → Magnetostatics → Ampere's Law
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Question
An infinite surface of linear current density A/m exists on the x-y plane, as shown in the figure. The magnitude of the magnetic field intensity () at a point (1,1,1) due to the surface current in Ampere/meter is _______ (Round off to 2 decimal places).
Correct answer
2.49 to 2.51
Solution
For an infinite current sheet with linear current density on the plane, the magnetic field intensity is given by , where is the unit normal vector from the sheet to the point of interest.
Given A/m and the point is , the unit normal vector is .
Thus, A/m.
The magnitude of the magnetic field intensity is A/m.
Given A/m and the point is , the unit normal vector is .
Thus, A/m.
The magnitude of the magnetic field intensity is A/m.
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