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How to derive electric field due to uniformly charged disc

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Q. State Guass law in electrostatics. Derive an expression of electric field due to an infinitely long straight uniformly charged wire. Draw necessary diagram.

Q. State Gauss law in electrostatics. Using the law derive an expression for electric field due to a uniformly charged thin spherical shell at a point outside the shell.

Q. Assertion :A uniformly charged disc has a pin hole at its centre. The electric field at the centre of the disc is zero Reason: Disc can be supported to be made up of many rings. also electric field at the centre of uniformly charged ring is zero

Q. Assertion :
A uniformly charged disc has a pin hole at its centre. The electric field at the centre of the disc is zero.

Reason :
Disc can be supposed to be made up of many rings. also electric field at the centre of uniformly charged ring is zero.

Q. A point charge placed on the axis of a uniformly charged disc experiences a force F due to the disc. If the surface charge density on the disc is

σ

, the electric flux through the disc due to the point charge will be :

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