Applications of Gauss' Law

IMPORTANT

Applications of Gauss' Law: Overview

This topic covers concepts such as Electric Field due to a Charged Sphere Using Gauss's Law, Gaussian Surfaces for Various Charge Distribution, Electric Field due to a Charged Spherical Shell Using Gauss's Law, etc.

Important Questions on Applications of Gauss' Law

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Applying Gauss theorem, the expression for the electric field intensity at a point due to an infinitely long, thin, uniformly charged straight wire is

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How do you find the non uniform electric field?

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What is electric field outside a uniform spherical charge?

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What is a non-uniformly charged sphere?

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

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What is a non-uniformly charged sphere?

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What is the electric field inside a charged sphere?

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Can electric field inside a conductor be non zero?

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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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In the figure shown, there is a large sheet of charge of uniform surface charge density σ. A charge particle of charge -q and mass m is projected from a point A on the sheet with a speed u with angle of projection such that it lands at maximum distance from A on the sheet. Neglecting gravity, find the time of flight.

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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 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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The electric field intensity outside the charged conducting sphere of radius R, placed in a medium of permittivity ε at a distance r from the centre of the sphere in terms of surface charge density σ is

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An electron is moving around an infinite linear charge in a circular path of diameter 0.3 m. If linear charge density is 10-6 C/m and the speed of the electron is written asn×107 m/s, then find n accurate up to two digits after the decimal point. (me=9×10-31 kg, e=1.6×10-19 C)

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A metal sphere of radius 1 cm is charged with 3.14 μC. Find the electric intensity at a distance of 1 m from the centre of the metal sphere.

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A long cylinder of radius 2 cm carries a charge of 5 μCm kept in a medium of dielectric constant 10. Find the electric field intensity at a point situated at a distance of 1 m from the axis of cylinder.

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A solid conducting sphere of radius 20 cm is enclosed by a thin metallic shell of radius 40 cm. A charge of 40 μC is given to the inner sphere. If the metallic shell is earthed, then the heat generated in the process is

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Two conducting spheres of radii r1 and r2 have equal surface charge densities. The ratio of their charges is ___.

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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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Derive an expression for electric field intensity at a point close and outside the surface of charged conductor of any shape.