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# GATE EC 2022: Electromagnetics Quiz 3

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Question 1

Two infinite current carrying sheets are placed parallel to each other in free space such that they carry current in the opposite direction with the same surface current density. The magnetic flux density in the space between the sheets will be

Question 2

In a spherical co-ordinate system magnetic vector potential at point (r, θ, ϕ) is given as A = 12 cosθaϕ. The magnetic flux density at point (3, 0, ) will be

Question 3

The current density that produce the magnetic vector potential A = 2aϕ in cylindrical coordinates is

Question 4

Magnetic field intensity produced due to a current source is given as

H = (z cos ay) ay + (z + ey)ax

The current density over the xz plane will be

Question 5

In the free space, magnetic field intensity at any point (ρ, ϕ, z) is given by H = 2 ρ2 aϕ A/m. The current density at ρ = 2 m will be ………….. A/m2 in az direction.

Question 6

Magnetic field intensity produced at a distance ρ from an infinite cylindrical wire located along entire z-axis is 3 ρaϕ A/m. The current density within the conductor will be …… A/m2 in az direction.
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