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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 in a medium with for ,is incident onto a medium with =4 for Z<0.
The electric field for Z<0 is given by
The electric field for Z<0 is given by
Question 8
A vector field in cylindrical coordinates is given by The value of along the closed path shown in figure is
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