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GATE EE

Electrostatics

Electromagnetic Fields

Previous Years Questions

Marks 1

More
As shown in the figure below, to concentric conducting spherical shells, centred at r = 0 and having radii r = c and r =...
GATE EE 2022
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 ...
GATE EE 2018
Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this ...
GATE EE 2017 Set 2
Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is...
GATE EE 2017 Set 1
Two semi-infinite dielectric regions are separated by a plane boundary at y = 0. The dielectric constants of region 1 (y...
GATE EE 2015 Set 2
Match the following. ...
GATE EE 2015 Set 2
Consider a function $$\overrightarrow f=\frac1{r^2}\widehat r$$ where r is the distance from the origin and $$\widehat r...
GATE EE 2015 Set 1
A hollow metallic sphere of radius r is kept at potential of 1 Volt. The total electric flux coming out of the concentri...
GATE EE 2014 Set 3
A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is pla...
GATE EE 2014 Set 2
Divergence of the three-dimentional radial vector field $$\overrightarrow F$$ is
GATE EE 2010
Divergence of the vector field $$$\overrightarrow V\left(x,y,z\right)=-\left(x\cos xy\;+\;y\right)\;\widehat i\;+\;\left...
GATE EE 2007
A parallel plate capacitor is shown in Fig. It is made of two square metal plates of $$400$$ $$mm$$ side. The $$14$$ $$m...
GATE EE 2004
Given a vector field $$\overrightarrow F ,$$ the divergence theorem states that
GATE EE 2002
In a uniform electric field, field lines and equipotentials
GATE EE 1997
If v, w, q stand for voltage, energy and charge, then v can be expressed
GATE EE 1996
In electrostatic field $$\nabla\times\overrightarrow E\equiv0$$
GATE EE 1994
An electrostatic potential is given by $$\phi=2x\sqrt y$$ volt in the rectangular co-ordinate system. The magnitude of t...
GATE EE 1992
Which of the following equations represents the Gauss's law in a homogeneous isotropic medium?
GATE EE 1992

Marks 2

More
The capacitance of an air-filled parallel-plate capacitor is 60 pF. When a dielectric slab whose thickness is half the d...
GATE EE 2018
A thin soap bubble of radius R = 1 cm, and thickness a = 3.3 ┬Ám(a << R), is at a potential of 1 V with respect to ...
GATE EE 2017 Set 2
Two electric charges q and -2q are placed at (0,0) and (6,0) on the x-y plane. The equation of the zero equipotential cu...
GATE EE 2016 Set 1
A parallel plate capacitor is partially filled with glass of dielectric constant 4.0 as shown below. The dielectric stre...
GATE EE 2015 Set 1
Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of +...
GATE EE 2015 Set 2
A perfectly conducting metal plate is placed in x-y plane in a right handed coordinate system. A charge of $$+32{\mathrm...
GATE EE 2014 Set 3
A dielectric slab with 500 mm x 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of...
GATE EE 2013
A capacitor is made with a polymeric dielectric having an $$\varepsilon_0$$ of 2.26 and a dielectric breakdown strength ...
GATE EE 2011
$$$F\left(x,y\right)=\left(x^2\;+\;xy\right)\;{\widehat a}_x\;+\;\left(y^2\;+\;xy\right)\;{\widehat a}_y$$$. Its line in...
GATE EE 2009
Two point charges $${Q_1} = 10\,\,\mu C$$ and $${Q_2} = 20\,\,\mu C$$ are placed at coordinates $$(1,1,0)$$ and $$\left(...
GATE EE 2008
A capacitor consists of two metal plates each $$500 \times 500\,\,m{m^2}$$ and spaced $$6$$ $$mm$$ apart. The space betw...
GATE EE 2008
A solid sphere made of insulating material has a radius $$R$$ and has a total charge $$Q$$ distributed uniformly in its ...
GATE EE 2007
A composite parallel plate capacitor is made up of two different dielectric materials with different thickness ($${t_1}$...
GATE EE 2003
A point charge of $$+1$$ $$nC$$ is placed in a space with a permittivity of $$8.85 \times {10^{ - 12}}\,F/m$$ as shown i...
GATE EE 2003
A parallel plate capacitor has an electrode area of $$100$$ $$m{m^2}$$, with a spacing of $$0.1$$ $$mm$$ between the ele...
GATE EE 2003
Given the potential function in free space to be $$V\left( x \right) = \left( {50{x^2} + 50{y^2} + 50{z^2}} \right)$$ v...
GATE EE 2001
The electric field $$\overrightarrow E $$ (in volts/metre) at the point $$(1, 1, 0)$$ due to a point charge of $$+1$$ $...
GATE EE 2001
The capacitance of the arrangement shown in Fig. is ................... $$pF$$ ...
GATE EE 1997
The capacitance of an isolated sphere of radius 10 cm in air is equal to _____ pF.
GATE EE 1997

Marks 5

More
Show via the construction of a suitable Gaussian surface, that the capacitance of a spherical capacitor consisting of t...
GATE EE 2000
A charge $$+Q$$ is uniformly distributed throughout the volume of a dielectric sphere of radius $$R$$ and dielectric con...
GATE EE 1999
An infinite number of charges, each equal to $$'q'$$ are placed along the $$x=1,x=2, x=4, x=8, x=16$$ and so on, Find th...
GATE EE 1998
Determine the electric field intensity at the point $$P$$ for the arrangement shown in Fig. ...
GATE EE 1997

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