# Electrostatics · Physics · JEE Advanced

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JEE Advanced 2023 Paper 2 Online
An electric dipole is formed by two charges $+q$ and $-q$ located in $x y$-plane at $(0,2) \mathrm{mm}$ and $(0,-2) \mathrm{mm}$, respectively, as sho...
JEE Advanced 2019 Paper 1 Offline
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...
JEE Advanced 2018 Paper 2 Offline
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...
JEE Advanced 2016 Paper 2 Offline
Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figu...
JEE Advanced 2016 Paper 2 Offline
Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figu...
JEE Advanced 2015 Paper 2 Offline
Consider a uniform spherical charge distribution of radius $${R_1}$$ centred at the origin $$O.$$ In this distribution, a spherical cavity of radius $... JEE Advanced 2014 Paper 2 Offline 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... JEE Advanced 2014 Paper 2 Offline 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... JEE Advanced 2014 Paper 1 Offline 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... JEE Advanced 2013 Paper 1 Offline Two non-conducting solid spheres of radii $$R$$ and $$2R,$$ having uniform volume charge densities $${\rho _1}$$ and $${\rho _2}$$ respectively, touch... IIT-JEE 2012 Paper 1 Offline Two large vertical and parallel metal plates having a separation of $$1$$ $$cm$$ are connected to a $$DC$$ voltage source of potential difference $$X... IIT-JEE 2012 Paper 1 Offline Consider a thin spherical shell of radius$$R$$with center at the origin, carrying uniform positive surface charge density. The variation of the magn... IIT-JEE 2011 Paper 1 Offline Consider an electric field$$\overrightarrow E = {E_0}\widehat x$$where$${E_0}$$is a constant. The flux through the shaded area (as shown in the f... IIT-JEE 2011 Paper 2 Offline Which of the field patterns given below is valid for electric field as well as for magnetic field ? IIT-JEE 2010 Paper 2 Offline A tiny spherical oil drop carrying a net charge$$q$$is balanced in still air with a vertical uniform electric field of strength$${{81\pi } \over 7}... IIT-JEE 2010 Paper 2 Offline 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... IIT-JEE 2009 Paper 1 Offline A disk of radius $${a \over 4}$$ having a uniformly distributed charge 6C is placed in the xy-plane with its centre at ($$-$$a/2, 0, 0). A rod of leng... IIT-JEE 2009 Paper 1 Offline Three concentric metallic spherical shells of radii $$R,2R,3R$$ are given charges $$Q_1,Q_2,Q_3$$, respectively. It is found that the surface charge d... IIT-JEE 2009 Paper 1 Offline Six point charges, each of the same magnitude q, are arranged in different manners as shown in Column II. In each case, a point M and a line PQ passin... IIT-JEE 2008 Paper 2 Offline Consider a system of three charges $${q \over 3},{q \over 3}$$ and $$- {{2q} \over 3}$$ placed at points A, B and C, respectively, as shown in the fi... IIT-JEE 2008 Paper 2 Offline A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K = 2. The level of liquid is $$... IIT-JEE 2008 Paper 2 Offline STATEMENT 1 : For practical purposes, the earth is used as a reference at zero potential in electrical circuits. and STATEMENT 2 : The electrical pote... IIT-JEE 2008 Paper 2 Offline The electric field at r = R is : IIT-JEE 2008 Paper 2 Offline For a = 0, the value of d (maximum value of$$\rho$$as shown in the figure) is IIT-JEE 2008 Paper 2 Offline The electric field within the nucleus is generally observed to be linearly dependent on r. This implies IIT-JEE 2007 Paper 2 Offline A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric fiel... IIT-JEE 2007 Paper 2 Offline Positive and negative point charges of equal magnitude are kept at$$\left(0,0, \frac{a}{2}\right)$$and$$\left(0,0, \frac{-a}{2}\right)$$, respectiv... ## Numerical JEE Advanced 2022 Paper 2 Online A charge q is surrounded by a closed surface consisting of an inverted cone of height h and base radius R, and a hemisphere of radius R as sho... JEE Advanced 2021 Paper 1 Online Two point charges$$-$$Q and +Q/$$\sqrt 3 $$are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure.... JEE Advanced 2021 Paper 1 Online Two point charges$$-$$Q and +Q/$$\sqrt 3 $$are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure.... JEE Advanced 2020 Paper 2 Offline Two large circular discs separated by a distance of 0.01 m are connected to a battery via a switch as shown in the figure. Charged oil drops of densit... JEE Advanced 2020 Paper 2 Offline A point charge q of mass m is suspended vertically by a string of length l. A point dipole of dipole moment$$\overrightarrow p $$is now brought towa... JEE Advanced 2020 Paper 1 Offline One end of a spring of negligible unstretched length and spring constant k is fixed at the origin (0, 0). A point particle of mass m carrying a positi... JEE Advanced 2020 Paper 1 Offline A circular disc of radius R carries surface charge density$$\sigma \left( r \right) = {\sigma _0}\left( {1 - {r \over R}} \right)$$, where$$\sigma$...
JEE Advanced 2018 Paper 2 Offline
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 ...
JEE Advanced 2015 Paper 1 Offline
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 $$z = {{\sqr... IIT-JEE 2012 Paper 1 Offline An infinitely long solid cylinder of radius R has a uniform volume charge density$$\rho$$. It has a spherical cavity of radius R/2 with its centre on... IIT-JEE 2011 Paper 1 Offline Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film of side a. The surface tension of the soap film is ... IIT-JEE 2009 Paper 2 Offline A solid sphere of radius R has a charge Q distributed in its volume with a charge density$$\rho = K{r^a}$$, where K and a are constants and r is the... ## MCQ (More than One Correct Answer) JEE Advanced 2022 Paper 2 Online In the figure, the inner (shaded) region A represents a sphere of radius r_{A}=1, within which the electrostatic charge density varies with the ra... JEE Advanced 2022 Paper 2 Online A disk of radius \mathrm{R} with uniform positive charge density \sigma is placed on the x y plane with its center at the origin. The Coulomb po... JEE Advanced 2022 Paper 1 Online Six charges are placed around a regular hexagon of side length a as shown in the figure. Five of them have charge q, and the remaining one has cha... JEE Advanced 2020 Paper 2 Offline Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of... JEE Advanced 2020 Paper 1 Offline A uniform electric field,$$\overrightarrow E = - 400\sqrt 3 \widehat y$$NC−1 is applied in a region. A charged particle of mass m carrying positiv... JEE Advanced 2019 Paper 2 Offline An electric dipole with dipole moment$${{{p_0}} \over {\sqrt 2 }}(\widehat i + \widehat j)$$is held fixed at the origin O in the presence of a unifo... JEE Advanced 2018 Paper 2 Offline An infinitely long thin non-conducting wire is parallel to the$$z$$-axis and carries a uniform line charge density$$\lambda .$$It pierces a thin no... JEE Advanced 2017 Paper 2 Offline A point charge$$+Q$$is placed just outside an imaginary hemispherical surface of radius$$R$$as shown in the figure. Which of the following statem... JEE Advanced 2015 Paper 1 Offline The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density$$\lambda $$are kep... JEE Advanced 2013 Paper 2 Offline Two non-conducting spheres of radii$${R_1}$$and$${R_2}$$and carrying uniform volume charge densities$$ + \rho $$and$$ - \rho ,$$respectively, ... IIT-JEE 2012 Paper 2 Offline Six point charges are kept at the vertices of a regular hexagon of side$$L$$and center$$O,$$as shown in the figure. Given that$$K = {1 \over {4\p...
IIT-JEE 2012 Paper 1 Offline
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...
IIT-JEE 2011 Paper 1 Offline
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...
IIT-JEE 2011 Paper 2 Offline
Which of the following statement(s) is/are correct?
IIT-JEE 2010 Paper 1 Offline
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...
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