1
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
A plane wave propagating in air with $$\vec E = \left( {8{{\widehat a}_x} + 6{{\widehat a}_y} + 5{{\widehat a}_z}} \right){\mkern 1mu} {\mkern 1mu} {e^{j\left( {\omega t + 3x - 4y} \right)}}{\mkern 1mu} {\mkern 1mu} V/m$$ is incident on a perfectly conducting slab positioned at $$x \le 0$$. The $$\overrightarrow E $$ field of the reflected wave is
2
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
A plane wave of wavelength $$\lambda $$ is traveling in a direction making an angle $${{{30}^ \circ }}$$ with positive $$x$$-axis and $${{{90}^ \circ }}$$ with positiv $$y$$-axis. The $$\overrightarrow E $$ field of the plane wave can be represented as ($${E_0}$$ is a constant)
3
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
The electric field of an electromagnetic wave propagating in the positive z-direction is given by
$$$E = {\widehat a_x}\sin \left( {\omega t - \beta z} \right) + {\widehat a_y}\sin \left( {\omega t - \beta z + \pi /2} \right)$$$
The wave is
4
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
The magnetic field intensity vector of a plane wave is given by
$$\overline H \left( {x,y,z,t} \right) = 10\,\sin \left( {50000t + 0.004x + 30} \right){\mathop a\limits^ \cap _y}$$
Where $${\mathop a\limits^ \cap _y}$$ denotes the unit vector in $$y$$ direction. The wave is propagating with a phase velocity
$$\overline H \left( {x,y,z,t} \right) = 10\,\sin \left( {50000t + 0.004x + 30} \right){\mathop a\limits^ \cap _y}$$
Where $${\mathop a\limits^ \cap _y}$$ denotes the unit vector in $$y$$ direction. The wave is propagating with a phase velocity
Questions Asked from Uniform Plane Waves (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2023 (1)
GATE ECE 2022 (1)
GATE ECE 2016 Set 2 (1)
GATE ECE 2016 Set 3 (1)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 1 (1)
GATE ECE 2014 Set 2 (1)
GATE ECE 2014 Set 1 (1)
GATE ECE 2012 (2)
GATE ECE 2007 (1)
GATE ECE 2006 (1)
GATE ECE 2005 (1)
GATE ECE 2003 (1)
GATE ECE 2001 (1)
GATE ECE 2000 (1)
GATE ECE 1998 (4)
GATE ECE 1995 (2)
GATE ECE 1994 (1)
GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Discrete Time Signal Fourier Series Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Sampling Transmission of Signal Through Discrete Time Lti Systems Miscellaneous
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics