1
GATE ECE 2017 Set 2
Numerical
+2
-0
An electron (q1) is moving in free space with velocity 105 m/s towards a stationary electron
(q2) far away. The closest distance that this moving electron gets to the stationary electron
before the repulsive force diverts its path is ___________ ×10-8m.
[Given, mass of electron m = 9.11×10-31 kg, charge of electron e = -1.6×10-19 C , and permittivity $$\varepsilon_0=\left(1/36\mathrm\pi\right)\times10^{-9}\;\mathrm F/\mathrm m$$].
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2
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The parallel-plate capacitor shown in the figure has movable plates. The capacitor is charged
so that the energy stored in it is E when the plate separation is d. The capacitor is then isolated
electrically and the plates are moved such that the plate separation becomes 2d.

At this new plate separation, what is the energy stored in the capacitor, neglecting fringing effects?
3
GATE ECE 2015 Set 3
Numerical
+2
-0
A coaxial capacitor of inner radius 1 mm and outer radius 5 mm has a capacitance per
unit length of 172 pF/m. If the ratio of outer radius to inner is doubled, the capacitance
per unit length (in pF/m) is _____.
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4
GATE ECE 2014 Set 4
MCQ (Single Correct Answer)
+2
-0.6
If $$\overrightarrow{\mathrm E}=-\left(2\mathrm y^2\;-3\mathrm{yz}^2\right)\widehat{\mathrm x}\;-\left(6\mathrm{xy}^2-3\mathrm{xz}^2\right)\widehat{\mathrm y}+\left(6\mathrm{xyz}\right)\widehat{\mathrm z}$$
is the electric field in a source free region, a valid expression for the electrostatic potential is
Questions Asked from Maxwell Equations (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
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
Communications
Electromagnetics
General Aptitude