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GATE EC : Electromagnetics - National Champion Test

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Question 1

Satellite channel can be attributed

Question 2

The microwave device working on the principal of Faraday rotation is called as:

Question 3

A broadside array operating at 100 cm wavelength consist of4 half wave dipoles spaced 50 cm apart. Each element carries radio frequency current in the same phase and of magnitude 0.5 A. The radiated power will be_____ If the radiation resistance is 146 ohm.

Question 4

The gain G of an antenna of effective area A is given by

Question 5

A transmission line is feeding 1 Watt of power to a horn antenna having a gain of 10 dB. The antenna is matched to the transmission line. The total power radiated by the horn antenna into the free-space is:

Question 6

A charge Q is divided into two parts and the two parts are separated by a certain distance. The force between them will be maximum if one of the charges is

Question 7

Mark the incorrect relation

Question 8

Consider a straight, infinitely long, current carrying conductor lying on the z-axis. Which one of the following plots (111 linear scale) qualitatively represents the dependence of $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image108.png$ oil r, where $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image108.png$ is the magnitude of the azimuthal component of magnetic field outside the conductor and r is the radial distance from the conductor?

Question 9

For static electric and magnetic fields in an inhomogeneous source-free medium, which of the following represents the correct form of two of Maxwell’s equations?

Question 10

The magnetic field intensity vector of a plane wave is given by $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image065.png$ where $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image066.png$ denotes the unit vector in y direction. The wave is propagating with a phase velocity

Question 11

The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the following expression
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image293.png$ (A/m)
The cross-sectional dimensions of the waveguide are given as a = 0.08 m and b = 0.033 m. The mode of propagation inside the waveguide is

Question 12

The magnetic field along the propagation direction inside a rectangular waveguide with the cross section shown in the figure is

The phase velocity Vp of the wave inside the waveguide satisfies

Question 13

A wave guide section in a microwave circuit will act as a

Question 14

An air-filled rectangular waveguide has inner dimensions of 3 cm × 2 cm. The wave impedance of the TE₂₀ mode of propagation in the waveguide at a frequency of 30 GHz is (free space impedance η₀ = 377 Ω)

Question 15

A rectangular waveguide having TE₁₀ mode as dominant mode is having a cutoff frequency of 18-GHz for the TE₃₀ mode. The inner broad-wall dimension of the rectangular waveguide is:

Question 16

Which mode of a circular waveguide will have the lowest attenuation?

Question 17

A 200 m long transmission line having parameters shown in the figure is terminated into a load R_L. The line is connected to a 400 V source having source resistance R_S through a switch, which is closed at t = 0. The transient response of the circuit at the input of the line (z = 0) is also drawn in the figure. The value of R_L (in W) is____.
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-3_files\image250.jpg$

Question 18

A transmission line with a characteristic impedance of 100 Ω is used to match a 50 Ω section to a 200 Ω section. If the matching is to be done both at 429 MHz and 1 GHz. the length of the transmission line can be approximately

Question 19

Consider an impedance Z = R + jX marked with point P in an impedance Smith chart as shown in Figure. The movement from point P along a constant resistance circle in the clockwise direction by an angle 45 ° is equivalent to
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image337.png$

Question 20

Intrinsic impedance of free space is given as

Question 21

The disadvantage of single-stub matching as compared to double-stub matching, is that

Question 22

In a transmission line terminated with a load equal to the characteristic impedance, the reflection coefficient is

Question 23

The characteristic impedance of a lossless transmission line is given by

Question 24

One of a loss-less transmission line having the Characteristic Impedance of 75Ω and length of 1cm is short-circuited. At 3GHz, the input impedance at the other end of the transmission line is

Question 25

Consider a 300Ω quarter-wave long (at 1 GHz) transmission line as shown in Figure. It is connected to a 10V, 50Ωsources at one end and is left open circuited at the other end. The magnitude of the voltage at the open circuit end of the line is
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image328.png$

Question 26

Skin depth at 2 GHz for a gold conductor with $Description: Description: Description: Description: Description: E:\GradeStack Courses\ISRO-EC-2012_files\image072.png$ = 4.55 S/m is 1.5 μm. Skin depth (in $Description: Description: Description: Description: Description: E:\GradeStack Courses\ISRO-EC-2012_files\image073.png$ ) at 8 GHz and 18 GHz is :

Question 27

A plane wave propagating in the dielectric medium has an electric field given as E_x=E₀Cos (3x10¹⁰t-100z). The dielectric constant of the medium is:

Question 28

dipole is kept horizontally at a height of

above a perfectly conducting infinite ground plane. The Radiation Pattern in the plane of the dipolw (

plane) looks approximately as

Question 29

A mast antenna consisting of a 50 meter long vertical conductor operates over a perfectly conducting ground plane. It is base-fed at a frequency of 600 kHz. The radiation resistance of the antenna in Ohms is:

Question 30

A vector $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image127.png$ is given by $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-1_files\image128.png$ . Which one of the following statements is TRUE?

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