1
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33
Which one of the following figures represents the radial electric field distribution $E_R$ caused by a spherical cloud of electrons with a volume charge density. $\rho=-3 \rho_0$ for $0 \leq R \leq a$ (both $\rho_0, a$ are positive and $R$ is the radial distance) and $\rho=0$ for $R>a$ ?
A
Fig. (i)
B
Fig. (ii)
C
Fig. (iii)
D
Fig. (iv)
2
GATE EE 2021
Numerical
+1
-0
A $1 \mu \mathrm{C}$ point charge is held at the origin of a cartesian coordinate system. If a second point charge of $10 \mu \mathrm{C}$ is moved from $(0,10,0)$ to $(5,5,5)$ and subsequently to $(5,0,0)$, then the total work done is
$\_\_\_\_$ mJ . (Round off to 2 decimal places). Take $\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9$ in SI units. All coordinates are in meters.
Your input ____
3
GATE EE 2018
MCQ (Single Correct Answer)
+1
-0.33
A positive charge of 1 nC is placed at (0, 0, 0.2) where all dimensions are in metres.
Consider the
x - y
plane to be a conducting ground plane.
Take $${\varepsilon _0} = 8.85 \times {10^{ - 12}}$$ F/m.
The Z component of the E field at (0, 0, 0.1) is closest to
Take $${\varepsilon _0} = 8.85 \times {10^{ - 12}}$$ F/m.
The Z component of the E field at (0, 0, 0.1) is closest to
4
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million
electrons are added to this sphere, these electrons will be distributed.
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