Physics
Electrostatics
Previous Years Questions

## Numerical

A charge $q$ is surrounded by a closed surface consisting of an inverted cone of height $h$ and base radius $R$, and a hemisphere of radius $R$ as sho...
Two point charges $$-$$Q and +Q/$$\sqrt 3$$ are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure....
Two point charges $$-$$Q and +Q/$$\sqrt 3$$ are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure....
One end of a spring of negligible unstretched length and spring constant k is fixed at the origin (0, 0). A point particle of mass m carrying a positi...
A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plates is filled with N dielectric ...
A particle, of mass $${10^{ - 3}}$$ $$kg$$ and charge $$1.0$$ $$C,$$ is initially at rest. At time $$t=0,$$ the particle comes under the influence of ...
Three identical capacitors $${C_1},{C_2}$$ and $${C_3}$$ have a capacitance of $$1.0\,\mu F$$ each and they are unchanged initially. They are connecte...
An infinitely long uniform line charge distribution of charge per unit length $$\lambda$$ lies parallel to the y-axis in the y-z plane at $$z = {{\sqr... An infinitely long solid cylinder of radius R has a uniform volume charge density$$\rho$$. It has a spherical cavity of radius R/2 with its centre on... Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film of side a. The surface tension of the soap film is ... ## MCQ (More than One Correct Answer) In the figure, the inner (shaded) region A represents a sphere of radius r_{A}=1, within which the electrostatic charge density varies with the ra... A disk of radius \mathrm{R} with uniform positive charge density \sigma is placed on the x y plane with its center at the origin. The Coulomb po... Six charges are placed around a regular hexagon of side length a as shown in the figure. Five of them have charge q, and the remaining one has cha... An electric dipole with dipole moment$${{{p_0}} \over {\sqrt 2 }}(\widehat i + \widehat j)$$is held fixed at the origin O in the presence of a unifo... An infinitely long thin non-conducting wire is parallel to the$$z$$-axis and carries a uniform line charge density$$\lambda .$$It pierces a thin no... A point charge$$+Q$$is placed just outside an imaginary hemispherical surface of radius$$R$$as shown in the figure. Which of the following statem... The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density$$\lambda $$are kep... A parallel plate capacitor has a dielectric slab of dielectric constant$$K$$between its plates that covers$$1/3$$of the area of its plates, as sho... Two non-conducting spheres of radii$${R_1}$$and$${R_2}$$and carrying uniform volume charge densities$$ + \rho $$and$$ - \rho ,$$respectively, ... A cubical region of side$$a$$has its center at the origin. It encloses three fixed point charges,$$-q$$at$$\left( {0, - a/4,0} \right), + 3q$$at... A spherical metal shell A of radius$${R_A}$$and a solid metal sphere$$B$$of radius$${R_B}\left( { < {R_A}} \right)$$are kept far apart and ea... Which of the following statement(s) is/are correct? A few electric field lines for a system of two charges$${Q_1}$$and$${Q_2}$$fixed at two different points on the$$x$$-axis are shown in the figure... ## MCQ (Single Correct Answer) A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small... The electric field$$E$$is measured at a point$$P(0,0,d)$$generated due to various charge distributions and the dependence of$$E$$on$$d$$is fou... Consider a uniform spherical charge distribution of radius$${R_1}$$centred at the origin$$O.$$In this distribution, a spherical cavity of radius ... Charges$$Q,2Q$$and$$4Q$$are uniformly distributed in three dielectric solid spheres$$1,2$$and$$3$$of radii$$R/2,R$$and$$2R$$respectiv... Four charges Q1, Q2, Q3 and Q4 of same magnitude are fixed along the x axis at x =$$-$$2a,$$-$$a, +a and +2a, respectively. A positive charge q is p... Let$${E_1}\left( r \right),{E_2}\left( r \right)$$and$${E_3}\left( r \right)$$be the respective electric field at a distance$$r$$from a point ch... Two non-conducting solid spheres of radii$$R$$and$$2R,$$having uniform volume charge densities$${\rho _1}$$and$${\rho _2}$$respectively, touch... Consider a thin spherical shell of radius$$R$$with center at the origin, carrying uniform positive surface charge density. The variation of the magn... Consider an electric field$$\overrightarrow E = {E_0}\widehat x$$where$${E_0}$$is a constant. The flux through the shaded area (as shown in the f... Which of the field patterns given below is valid for electric field as well as for magnetic field ? A tiny spherical oil drop carrying a net charge$$q$$is balanced in still air with a vertical uniform electric field of strength$${{81\pi } \over 7}...
A uniformly charged thin spherical shell of radius $$R$$ carries uniform surface charge density of $$\sigma$$ per unit area. It is made of two hemisp...
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