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GATE EC 2020 National Champion Quiz: Electromagnetic Theory

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Question 1

An antenna of diameter 2m is operating at 3 GHz.The minimum distance beyond which the inductive Electrostatic contribution to the radiated fields can be neglected is given by________m.

Question 2

If C is a closed curve enclosing a surface S, then the magnetic field intensity , the current density and the electric flux density are related by

Question 3

A potential field exists in a region where  is

Question 4

A circular air-filled waveguide of radius 5cm is operated in the mode. The waveguide is then completely filled with a dielectric of relative’s permittivity 2.25 and relative permeability 1.0. The cut-off wavelength for the mode is 0.082m when the waveguide is filled with the dielectric, the cut off frequency will become nearby

Question 5

A rectangular wave guide has dimensions 1 cm ×0.5 cm. Its cut-off frequency is

Question 6

The direction of vector A is radially outward from the origin, with |A| = krn where r2 = x2 + y2 + z2 and k is a constant. The value of n for which is

Question 7

Given an uniform electric field Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image121.png in a medium with Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image122.png for Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image123.png,is incident onto a medium with Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image124.png=4 for Z<0.
The electric field Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image125.png for Z<0 is given by

Question 8

A vector field in cylindrical coordinates is given by Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image091.pngThe value of Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image092.pngDescription: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image093.png along the closed path shown in figure is
Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image094.png

Question 9

A short-circuited stub is connected to a transmission line as shown in the figure. If the voltage standing wave ratio to the left of the junction of stub and line is

Question 10

Design a lossless impedance matching network shown in Fig. P22 to transform ZL = 10 + j10Ω to Zin = 50Ω. Find the values of L, C and quality factor (Q) of the circuit at f = 1GHz.

Question 11

The phasor magnetic field intensity for a 400 MHz uniform plane wave propagating in a certain lossless material is ( . The phase velocity is

Question 12

In a uniform linear array, four isotropic radiating elements are spaced λ/2 apart. The progressivephase shift between the elements required for forming the main beam at 60 ° off the end fire is

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Feb 12ESE & GATE EC