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. GATE ECE 2016 Set 2 Electromagnetics - Maxwell Equations Question 19 English

At this new plate separation, what is the energy stored in the capacitor, neglecting fringing effects?

A
2E
B
$$\sqrt2\mathrm E$$
C
E
D
E/2
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

A
xy3 - yz2
B
2xy3 - xyz2
C
y3 + xyz2
D
2xy3 - 3xyz2
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