# Electrostatics · Electromagnetic Fields · GATE EE

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## Marks 1

GATE EE 2022
As shown in the figure below, to concentric conducting spherical shells, centred at r = 0 and having radii r = c and r = d are maintained at potential...
GATE EE 2018
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...
GATE EE 2017 Set 2
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 b...
GATE EE 2017 Set 1
Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the ...
GATE EE 2015 Set 2
Match the following. ...
GATE EE 2015 Set 2
Two semi-infinite dielectric regions are separated by a plane boundary at y = 0. The dielectric constants of region 1 (y< 0) and region 2 (y>0) ...
GATE EE 2015 Set 1
Consider a function $$\overrightarrow f=\frac1{r^2}\widehat r$$ where r is the distance from the origin and $$\widehat r$$ is the unit vector in the r...
GATE EE 2014 Set 3
A hollow metallic sphere of radius r is kept at potential of 1 Volt. The total electric flux coming out of the concentric spherical surface of radius ...
GATE EE 2014 Set 2
A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is place symmetrically with respect ...
GATE EE 2010
Divergence of the three-dimentional radial vector field $$\overrightarrow F$$ is
GATE EE 2007
Divergence of the vector field $$\overrightarrow V\left(x,y,z\right)=-\left(x\cos xy\;+\;y\right)\;\widehat i\;+\;\left(y\cos xy\right)\;\widehat j\;... GATE EE 2004 A parallel plate capacitor is shown in Fig. It is made of two square metal plates of$$400mm$$side. The$$14mm$$space between the plates i... GATE EE 2002 Given a vector field$$\overrightarrow F ,$$the divergence theorem states that GATE EE 1997 In a uniform electric field, field lines and equipotentials GATE EE 1996 If v, w, q stand for voltage, energy and charge, then v can be expressed GATE EE 1994 In electrostatic field$$\nabla\times\overrightarrow E\equiv0$$GATE EE 1992 Which of the following equations represents the Gauss's law in a homogeneous isotropic medium? GATE EE 1992 An electrostatic potential is given by$$\phi=2x\sqrt y$$volt in the rectangular co-ordinate system. The magnitude of the electric field at x = 1 m,y... ## Marks 2 GATE EE 2024 In the (x, y, z) coordinate system, three point-charges Q, Q, and \alpha Q are located in free space at (-1, 0, 0), (1, 0, 0), and (0, -1... GATE EE 2018 The capacitance of an air-filled parallel-plate capacitor is 60 pF. When a dielectric slab whose thickness is half the distance between the plates, is... GATE EE 2017 Set 2 A thin soap bubble of radius R = 1 cm, and thickness a = 3.3 µm(a << R), is at a potential of 1 V with respect to a reference point at infinity.... GATE EE 2016 Set 1 Two electric charges q and -2q are placed at (0,0) and (6,0) on the x-y plane. The equation of the zero equipotential curve in the x-y plane is GATE EE 2015 Set 2 Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of +𝑄 is placed at a distance of ... GATE EE 2015 Set 1 A parallel plate capacitor is partially filled with glass of dielectric constant 4.0 as shown below. The dielectric strengths of air and glass are 30 ... GATE EE 2014 Set 3 A perfectly conducting metal plate is placed in x-y plane in a right handed coordinate system. A charge of$$+32{\mathrm{πε}}_0\sqrt2$$columbs is pla... GATE EE 2013 A dielectric slab with 500 mm x 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of$$E=6{\widehat a}_x+8{\wideha...
GATE EE 2011
A capacitor is made with a polymeric dielectric having an $$\varepsilon_0$$ of 2.26 and a dielectric breakdown strength of 50 kV/cm. The permittivity ...
GATE EE 2009
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