Gauss's Law Applications: JEE Questions & Solutions

Two point charges 2q and q are placed at vertex A and centre of face CDEF of the cube as shown in figure. The electric flux passing through…

Identify the correct statements: [A.] Electrostatic field lines form closed loops. [B.] The electric field lines point radially outward…

A line charge of length a2 is kept at the center of an edge BC of a cube ABCDEFGH having edge length a. If the density of the line is C per…

A square loop of sides a = 1 m is held normally in front of a point charge q = 1 C. The flux of the electric field through the shaded…

Match List - I with List - II: List - I: (A) Electric field inside (distance r 0 from center) of a uniformly charged spherical shell with…

A point charge causes an electric flux of -2 10^4 N m^2 C^-1 to pass through a spherical Gaussian surface of 8.0 cm radius, centered on the…

A small bob of mass 100 mg and charge +10 C is connected to an insulating string of length 1 m. It is brought near to an infinitely long…

Two infinite identical charged sheets and a charged spherical body of charge density ' ' are arranged as shown in figure. Then the correct…

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The outer body of…

An infinitely long wire has uniform linear charge density = 2 nC/m. The net flux through a Gaussian cube of side length 3 cm, if the wire…

An electron is released from rest near an infinite non-conducting sheet of uniform charge density -. The rate of change of de-Broglie…

Two charges of 5Q and -2Q are situated at the points (3a, 0) and (-5a, 0) respectively. The electric flux through a sphere of radius 4a…

An electric field is given by E = (6i + 5j + 3k) N/C. The electric flux through a surface area 30i m^2 lying in the YZ-plane (in SI units)…

Five charges +q, +5q, -2q, +3q, -4q are situated as shown in the figure. The electric flux due to this configuration through the surface S…

An electric field E = 2x i N/C exists in space. A cube of side 2 m is placed in the space. The electric flux through the cube is:

Match List I with List II: Choose the correct answer from the options given below:

In a cuboid of dimensions 2L 2L L, a charge q is placed at the center of the surface S having area 4L^2. The flux through the opposite…

For a charged spherical ball, the electrostatic potential inside the ball varies with r as V = 2ar^2 + b. The volume charge density inside…

As shown in the figure, a point charge Q is placed at the centre of a conducting spherical shell of inner radius a and outer radius b. The…

As shown in figure, a cuboid lies in a region with electric field E = 2x^2 i - 4y j + 6 k N/C. The magnitude of charge within the cuboid is…

Expression for an electric field is given by E = 4000 i V/m. The electric flux through the cube of side 20 cm when placed in the electric…

Let be the uniform surface charge density of two infinite thin plane sheets shown in the figure. Then the electric fields in three…

A cubical volume is bounded by the surfaces x = 0, x = a, y = 0, y = a, z = 0, z = a. The electric field in the region is given by E = E0 x…

Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius R, with distance r from the center O is…

A capacitor of capacitance C is charge to a potential V. The flux of the electric field through a closed surface enclosing the positive…

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If an electric dipole of…