GATE ECE

Uniform Plane Waves

Electromagnetics

(Past Years Questions)

Marks 1

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If a right-handed circularly polarized wave is incident normally on a plane perfect conductor, then the reflected wave w...
GATE ECE 2016 Set 3
Let the electric field vector of a plane electromagnetic wave propagating in a homogenous medium be expressed as $$E = ...
GATE ECE 2016 Set 2
The electric field of a uniform plane electromagnetic wave is $$$\vec E = \left( {{{\overrightarrow a }_x} + j4{{\overr...
GATE ECE 2015 Set 2
The electric field component of a plane wave traveling in a lossless dielectric medium is given by $$$\overrightarrow E...
GATE ECE 2015 Set 1
Which one of the following field patterns represents a TEM wave traveling in the positive $$x$$ direction?
GATE ECE 2014 Set 2
A two - port network has scattering parameters given by $$[S]$$ $$ = \left[ {\matrix{ {{s_{11}}} & {{s_{12}}} \cr ...
GATE ECE 2014 Set 1
The electric field of a uniform plane electromagnetic wave in free spce, along the positive x direction, is given by $...
GATE ECE 2012
A plane wave propagating in air with $$\vec E = \left( {8{{\widehat a}_x} + 6{{\widehat a}_y} + 5{{\widehat a}_z}} \righ...
GATE ECE 2012
A plane wave of wavelength $$\lambda $$ is traveling in a direction making an angle $${{{30}^ \circ }}$$ with positive $...
GATE ECE 2007
The electric field of an electromagnetic wave propagating in the positive z-direction is given by $$$E = {\widehat a_x}...
GATE ECE 2006
The magnetic field intensity vector of a plane wave is given by $$\overline H \left( {x,y,z,t...
GATE ECE 2005
The depth of penetration of electromagnetic wave in a medium having conductivity $$\sigma $$ at a frequency of 1 KHz is ...
GATE ECE 2003
If a plane electromagnetic wave satisfies the equation $${{{\partial ^2}\,{E_x}} \over {\partial \,{z^2}}} = \,{c^2}{{{\...
GATE ECE 2001
A TEM wave is incident normally upon a perfect conductor. The E and H fields at the boundary will be respectively
GATE ECE 2000
The intrinsic impedance of copper at high frequencies is
GATE ECE 1998
The wavelength of a wave with propagation constant $$\left( {0.1\,\pi + j\,0.2\pi } \right){m^{ - 1}}$$ is
GATE ECE 1998
The depth of penetration of a wave in a lossy dielectric increases with increasing
GATE ECE 1998
The polarization of a wave with electric field vector $$\overrightarrow E = {E_0}\,{e^{j\left( {\omega t - \beta z} \ri...
GATE ECE 1998
The intrinsic impedance of a lossy dielectric medium is given by
GATE ECE 1995
Copper behaves as a
GATE ECE 1995
A plane electromagnetic wave traveling along the +z-direction, has its electric field given by Ex = 2 cos $$\left( {\ome...
GATE ECE 1994

Marks 2

More
The expression for an electric field in free space is $$E = {E_0}\left( {\widehat x + \widehat y + j2\widehat z} \right)...
GATE ECE 2017 Set 1
The electric field of a uniform plane wave travelling along the negative $$z$$ direction is given by the following equat...
GATE ECE 2016 Set 1
The electric field intensity of a plane wave propagating in a lossless non-magnetic medium is given by the following exp...
GATE ECE 2015 Set 2
The electric field intensity of a plane wave traveling in free space is given by the following expression $$E\left( {x,...
GATE ECE 2015 Set 1
Consider a uniform plane wave with amplitude $$\left( {{E_0}} \right)$$ of $$10\,\,\,V/m$$ and $$1.1 GHz$$ frequency tra...
GATE ECE 2015 Set 1
A region shown below contains a perfect conducting half-space and air. The surface current $${\overrightarrow K _{_s}}$$...
GATE ECE 2014 Set 3
Assume that a plane wave in air with an electric field $$\overrightarrow E = 10\cos \left( {\omega t - 3x - \sqrt {3z}...
GATE ECE 2014 Set 3
If the electric field of a plane wave is $$$\overrightarrow E \left( {z,t} \right) = \widehat x3\cos \left( {\omega t -...
GATE ECE 2014 Set 2
In spherical coordinates, let $${{{\widehat a}_{_0}},\,{{\widehat a}_{_\phi }}}$$ denote unit vectors along the $$\theta...
GATE ECE 2014 Set 1
A monochromatic plane wave of wavelength $$\lambda = 600$$ is propagating in the direction as shown in the figure below...
GATE ECE 2013
A monochromatic plane wave of wavelength $$\lambda = 600$$ is propagating in the direction as shown in the figure below...
GATE ECE 2013
The electric and magnetic fields for a TEM wave of frequency $$14 GHz$$ in a homogeneous medium of relative permittivity...
GATE ECE 2011
A plane wave having the electric field component $$${\overrightarrow E _i} = 24\,\,\cos \,\,\left( {3 \times {{10}^8}\,...
GATE ECE 2010
A uniform plane wave in the free space is normally incident on an infinitely thick dielectric slab (dielectric constant ...
GATE ECE 2008
The $$\overrightarrow H $$ field (in A/m) of a plane wave propagating in free space is given by $$$\overrightarrow H ...
GATE ECE 2007
A medium of relative permittivityb $${\varepsilon _r} = 2$$ forms an interface with free-space. A point source of electr...
GATE ECE 2006
A medium is divided into regions $${\rm I}$$ and $${\rm I}$$$${\rm I}$$ about $$x = 0$$ plane, as shown in the Fig. belo...
GATE ECE 2006
When a plane wave traveling in free-space is incident normally on a medium having $${\varepsilon _r} = 4.0,$$ the fracti...
GATE ECE 2006
A plane electromagnetic wave propagating in free space in incident normally on a large slab of loss-less, non-magnetic, ...
GATE ECE 2004
Medium $$1$$ has the electrical permittivity $${\varepsilon _1} = 1.5\,\,{\varepsilon _0}\,\,\,F/m$$ and occupies the re...
GATE ECE 2003
A uniform plane wave traveling in air is incident on the plane boundary between air and another dielectric medium with $...
GATE ECE 2003
If the electric field intensity associated with a uniform plane electromagnetic wave traveling in a perfect dielectric m...
GATE ECE 2003
A plane wave is characterized by $$$\overrightarrow E = \left( {0.5\mathop x\limits^ \cap + \mathop y\limits^ \cap ...
GATE ECE 2002
Distilled water at $${25^ \circ }C$$ is characterized by $$\sigma = 1.7 \times {10^{ - 4}}$$ mho/m and $$ \in = 78{ \i...
GATE ECE 2002
A uniform plane electromagnetic wave incident normally on a plane surface of a dielectric material is reflected with a V...
GATE ECE 2001
A uniform plane wave in air impinges at 45° angle on a lossless dielectric material with dielectric constant $${\varepsi...
GATE ECE 2000
A uniform plane wave in air is normally incident on an infinitely thick slab. If the reflective index of the glass slab ...
GATE ECE 1996
Some unknown material has a conductivity of $${10^{ 6}}$$ $$mho/m$$ and a permeability of $$4\pi \times {10^{ - 7}}\,...
GATE ECE 1996
A material is described by the following electrical parameters at a frequency of $$10$$ GHz is $$\sigma = {10^6}$$ mho/...
GATE ECE 1993
A plane wave is incident normally on a perfect conductor as shown in Fig. Here $$E_x^i,\,\,H_y^i$$ and $$\overrightarrow...
GATE ECE 1993
The electric field component of a uniform plane electromagnetic wave propagating in the $$Y$$-direction in a lossless...
GATE ECE 1991
The skin - depth of copper at a frequency of $$3 GHz$$ is $$1$$ micron ($${{{10}^{ - 6}}}$$ metre). At $$12 GHz$$, for...
GATE ECE 1989
In a good conductor the phase relation between the tangential components of electric field Et and the magnetic field Ht ...
GATE ECE 1988
For an electromagnetic wave incident from one medium to a second medium, total reflection takes place when
GATE ECE 1987

Marks 5

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A medium has breakdown strength of $$16$$ KV/m r.m.s. Its relative permeability is $$1.0$$ and relative permittivity is ...
GATE ECE 2001
A plane wave in free space with $$\overrightarrow E = \left( {\sqrt \pi } \right)\left( {10.0\,\widehat x + 11.8\,\wi...
GATE ECE 1999
A plane wave with $$\overrightarrow E = 10\,{e^{j\left( {\omega t - \beta z} \right)\,}}\,\,{\overrightarrow a _{_y}}$$...
GATE ECE 1998
The electric field vector of a wave is given as $$$\vec E = {E_0}{\mkern 1mu} {e^{j\left( {\omega t + 3x - 4y} \right)}...
GATE ECE 1998
A uniform plane wave is normally incident from air on an infinitely thick magnetic material with relative permeability 1...
GATE ECE 1997
A uniform plane wave having parallel polarization is obliquely incident on an air - dielectric interface as shown in Fig...
GATE ECE 1996
A wave traveling in the $$+Z$$-direction, is the resultant of two linearly polarized components, $${E_x}\,\,\, = \,\,\,\...
GATE ECE 1994
Match the following descriptions with each of the diagrams given in Fig. Fields are near the interface, but on opposite ...
GATE ECE 1993

Marks 8

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A uniform plane wave traveling in free space along the +$$z$$ direction and having its electric field along the$$ x$$-d...
GATE ECE 1992
A uniform plane electromagnetic wave traveling in free-space enters into a lossless medium at normal incidence. In the m...
GATE ECE 1991
A 300 MHz plane E.M. wave is propagating in free space. The wave is incident normally on an infinite copper sl...
GATE ECE 1990
An electric field is given by $$\overrightarrow E = \overrightarrow a {}_x\,{\rm A}\,\,\sin \,\beta ySin\,\,\omega t$$ ...
GATE ECE 1987

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