1
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A uniform and constant magnetic field
$$B=\widehat zB$$
exists in the
$$\widehat z$$
direction in vacuum. A particle of
mass m with a small charge q is introduced into this region with an initial
velocity
$$v=\widehat xv_x+\widehat zv_z$$.
Given that B, m, q, vx and vz are all non-zero, which one of the
following describes the eventual trajectory of the particle?
2
GATE ECE 2016 Set 2
Numerical
+1
-0
Consider the time-varying vector $$I = \,\hat x\,\,15\,\cos \,(\omega \,t) + \,\hat y\,5\,sin(\omega \,t)$$ in Cartesian coordinates, where $$\omega $$ > 0 is a constant. When the vector magnitude $$\left| I \right|$$ is at its minimum value, the angle $$\theta $$ that I makes with the x axis (in degree, such that $$0\, \le \,0 \le \,180$$) is _________________
Your input ____
3
GATE ECE 2016 Set 1
Numerical
+1
-0
Concentric spherical shells of radii 2 m, 4 m, and 8 m carry uniform surface charge densities
of 20 nC/m2
, −4 nC/m2
and ρs
,respectively. The value of ρs (nC/m2) required to ensure that the
electric flux density $$\overrightarrow D=\overrightarrow0$$
at radius 10 m is _________.
Your input ____
4
GATE ECE 2015 Set 2
Numerical
+1
-0
In a source free region in vacuum, if the electrostatic potential
$$\varphi\;=\;2x^2\;+y^2+cz^2$$ , the value of
constant c must be ________________.
Your input ____
Questions Asked from Maxwell Equations (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2022 (2)
GATE ECE 2017 Set 2 (1)
GATE ECE 2016 Set 3 (1)
GATE ECE 2016 Set 2 (2)
GATE ECE 2016 Set 1 (1)
GATE ECE 2015 Set 2 (1)
GATE ECE 2013 (1)
GATE ECE 2011 (1)
GATE ECE 2009 (1)
GATE ECE 2007 (1)
GATE ECE 2006 (2)
GATE ECE 2003 (1)
GATE ECE 1999 (2)
GATE ECE 1998 (3)
GATE ECE 1996 (1)
GATE ECE 1995 (2)
GATE ECE 1994 (1)
GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series
Discrete Time Signal Fourier Series Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Transmission of Signal Through Continuous Time LTI Systems
Discrete Time Linear Time Invariant Systems
Sampling
Continuous Time Signal Laplace Transform
Discrete Fourier Transform and Fast Fourier Transform
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous
Fourier Transform
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics