Gauss’s Law

IMPORTANT

Gauss’s Law: Overview

This topic covers concepts, such as Area Vector, Electric Flux, Electric Flux from a Surface Due to Point Charges, Electric Flux from a Surface in Electric Field, Gauss Theorem in Electrostatics, Condition for the Validity of Gauss Theorem, etc.

Important Questions on Gauss’s Law

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The SI unit of electrical flux is:

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Which law is used to derive the expression for the electric field between two uniformly charged large parallel sheets with surface charge densities σ and σ respectively:

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What is the electric field inside a uniformly charged hollow cylinder?

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A hollow charged metal sphere has radius r. If the potential difference between its surface and a point at a distance 3r from the centre is V, then electric field intensity at a distance 3r is:

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A charge Q is distributed uniformly in a sphere (solid). Then the electric field at any point r, where r<R ( r is radius of sphere) varies as_____.

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Two infinitely long parallel conducting plates having surface charge densities +σ and -σ respectively are separated by a small distance. The medium between the plates is vacuum, if εo is dielectric permittivity of vacuum, then the electric field in the region between the plates is-

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A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

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Derive Gauss's law from Coulomb's law.

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Assertion: Gauss's law can't be used to calculate electric field near an electric dipole.
Reason: Electric dipole don't have symmetrical charge distribution.

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Area vector is a vector quantity associated with each plane figure whose magnitude is

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The total flux through the faces of the cube with side of length α if a charge q is placed at corner A of the cube is
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A conducting spherical shell of radius R has a charge +q units. The electric field due to the shell at a point

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A Gaussian sphere encloses an electric dipole within it. The total flux through the sphere is

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Flux coming out from a unit positive charge enclosed in air is

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A conducting spherical shell of radius R has a charge +q units. The electric field due to the shell at a point

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A hollow cylinder has a charge q coulomb at the middle point of it. If ϕ is the electric flux in units of volt metre associated with the curved surface B, the flux linked with the plane surface A in a unit of volt metre will be

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Which one is the SI unit of electric flux

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The radii of two conducting spheres are a and b. When these are given same surface charge density the ratio of electric field intensities at their surfaces is 

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Obtain an expression for electric field intensity at a point outside infinitely long charged conducting cylinder.

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A square in a horizontal orientation is situated in a uniform horizontal electric field such that a line drawn in the plane of square makes angle of 300 with electric field. If side of square is a then flux through the square will be 

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