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Electromagnetics
Waveguides
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1
GATE ECE 2024
MCQ (Single Correct Answer)
+2
-1.33
A uniform plane wave with electric field $\vec{E}(x)=A_y \hat{a}_y e^{-j \frac{2 \pi x}{3}} \mathrm{~V} / \mathrm{m}$ is travelling in the air (relative permittivity, $\dot{o}_r=1$ and relative permeability, $\mu_r=1$ ) in the $+x$ direction ( $A_y$ is a positive constant, $\hat{a}_y$ is the unit vector along the $y$ axis). It is incident normally on an ideal electric conductor (conductivity, $\sigma=\infty$ ) at $x=0$. The position of the first null of the total magnetic field in the air (measured from $x=0$, in metres) is ________.
A

$\frac{3}{4}$

B

$\frac{3}{2}$

C

$-6$

D

$-3$

2
GATE ECE 2023
MCQ (More than One Correct Answer)
+2
-0

The electric field of a plane electromagnetic wave is

$$E = {a_x}{C_{1x}}\cos (\omega t - \beta z) + {a_y}{C_{1y}}\cos (\omega t - \beta z + \theta )$$ V/m.

Which of the following combination(s) will give rise to a left handed elliptically polarized (LHEP) wave?

A
$${C_{1x}} = 1,{C_{1y}} = 1,\theta = \pi /4$$
B
$${C_{1x}} = 2,{C_{1y}} = 1,\theta = \pi /2$$
C
$${C_{1x}} = 1,{C_{1y}} = 2,\theta = 3\pi /2$$
D
$${C_{1x}} = 2,{C_{1y}} = 1,\theta = 3\pi /4$$
3
GATE ECE 2023
Numerical
+2
-0

A transparent dielectric coating is applied to glass ($$\varepsilon _r=4,\mu_r=1$$) to eliminate the reflection of red light ($$\lambda_0=0.75~\mu\mathrm{m}$$). The minimum thickness of the dielectric coating, in $$\mu\mathrm{m}$$, that can be used is __________ (rounded off to two decimal places).

Your input ____
4
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The expression for an electric field in free space is $$E = {E_0}\left( {\widehat x + \widehat y + j2\widehat z} \right){e^{ - j\left( {\omega t - kx + ky} \right)}},$$ where $$x,{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} y,{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} z\,\,\,\,\,\,\,$$ represent the spatial coordinates, $$t$$ represents time, and $$\omega ,\,\,k$$ are contants. This electric field
A
does not represent a plane wave.
B
represents a circular polarized plane wave propagating normal to the z-axis.
C
represents an elliptically polarized plane wave propagating along x-y plane.
D
represents a linearly polarized plane wave
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Questions Asked from Marks 2
GATE ECE 2024 (1) GATE ECE 2023 (2) GATE ECE 2017 Set 1 (1) GATE ECE 2016 Set 1 (1) GATE ECE 2015 Set 2 (1) GATE ECE 2015 Set 1 (2) GATE ECE 2014 Set 1 (1) GATE ECE 2014 Set 3 (2) GATE ECE 2014 Set 2 (1) GATE ECE 2013 (2) GATE ECE 2011 (1) GATE ECE 2010 (1) GATE ECE 2008 (1) GATE ECE 2007 (1) GATE ECE 2006 (3) GATE ECE 2004 (1) GATE ECE 2003 (3) GATE ECE 2002 (2) GATE ECE 2001 (1) GATE ECE 2000 (1) GATE ECE 1996 (2) GATE ECE 1993 (2) GATE ECE 1991 (1) GATE ECE 1989 (1) GATE ECE 1988 (1) GATE ECE 1987 (1)
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics