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"GATE EC 2022:EMFT Quiz 9"

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Question 1

The electric field of a plane wave propagating in + Z direction in a certain medium (ε_r = 72 , μ_r = 1, σ = 4 S/m) is given by

= 10 cos (10⁷ πt)

at z = 0. The intrinsic impedance of the medium is.

Question 2

If directivity of antenna is 6dB, and antenna efficiency is 80%, then determine the gain (in dB) of the antenna.

Question 3

In the plane z = 5m a thin ring of radius, a = 3m is placed such that x-axis passes through it’s center. If the ring carries a current of 50 mA in 4 direction then the magnetic field intensity at point (0, 0, 1) will be ________ mA/m in a_z direction

Question 4

A plane electromagnetic wave propagating in free space in incident normally on a large slab of loss-less, non-magnetic, dielectric material with ε > ε₀. Maxima and minima are observed when the electric field is measured in front of the slab. The maximum electric field is found to be 5 times the minimum field. The intrinsic impedance of the medium should be

Question 5

A 50Ω loss less line is terminated in an unknown load. The distance between adjacent voltage minima is d = 8 cm, the VSWR is equal to 2 and the first voltage minimum is situated at 1.57 cm from the load. What is the value of the load impedance Z_L.

Question 6

A rectangular waveguide operates at 4.5 GHz in the dominant mode. IF the group velocity is determined as 1.5 x 10⁸ m/s, the largest dimension of the waveguide is ________cm.
(Assume that the guide is filled with a lossless dielectric

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ESE & GATE EC Electromagnetics

Oct 26ESE & GATE EC