- Introduction
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- Electric field due to continous charge distributions
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- Gauss's Law
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- Applications of Gauss's Law
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- Derivation of Coulumb's Law
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- Electric field due to line charge
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- Electric field due to charged solid sphere
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- Electric field due to an infinite plane sheet of charge

Consider the figure given below

A positive charge +q is placed at corner of the cube. Find the electric flux through the right face BCGDB of the cube.

Consider a sphere of radius r having charge q C distributed uniformly over the sphere. This sphere is now covered with a hollow conducting sphere of radius R>r.

- Find the electric field at point P away from the centre O of the sphere such that r<OP<R.
- Find the surface charge density on the outer surface of the hollow sphere if charge q’ C is placed on the hollow sphere.

- Find the electric field inside the uniformly charged sphere of radius R and volume charge density ρ using Gauss’s law.
- Use Gauss’s law to find the electric field outside, at a point on the surface and at any point inside a spherical shell of radius R, carrying a uniform surface charge density σ.

(a) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by

Consider a cylinder as given below in the figure

Volume between radius r

Class 12 Maths Class 12 Physics