1

GATE ECE 2017 Set 2

MCQ (Single Correct Answer)

+1

-0.3

Two conducting spheres S1 and S2 of radii a and b (b>a) respectively, are placed far apart and
connected by a long, thin conducting wire, as shown in the figure.

For some charge placed on this structure, the potential and surface electric field on S1 are V_{a}
and E_{a}
, and that on S2 are V_{b} and E_{b}, respectively, which of the following is CORRECT?

2

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, v

_{x}and v_{z}are all non-zero, which one of the following describes the eventual trajectory of the particle?3

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 ____

4

GATE ECE 2016 Set 3

MCQ (Single Correct Answer)

+1

-0.3

Faraday's law of electromagnetic induction is mathematically described by which one of the following equations?

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 2 (2)
GATE ECE 2016 Set 3 (1)
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 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