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Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE

Document Description: Electric Potential of Uniformly Charged Ring, Rod, and Disc for JEE 2022 is part of Additional Documents and Tests for JEE preparation. The notes and questions for Electric Potential of Uniformly Charged Ring, Rod, and Disc have been prepared according to the JEE exam syllabus. Information about Electric Potential of Uniformly Charged Ring, Rod, and Disc covers topics like and Electric Potential of Uniformly Charged Ring, Rod, and Disc Example, for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Electric Potential of Uniformly Charged Ring, Rod, and Disc.

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Electric Potential Due to a Charged Ring

Let electric potential at point P due to small element of length dℓ be dV.
Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEEElectric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE
(distance between small element and point P is equal to r)
Electric potential due to whole ring
Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE
Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE


Potential Due to a Uniformly Charged Rod

Electric Potential due to a uniformly charged rod of length L and linear charge density lambda, at a point P on its axial line which is d units away from it
Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE
Charge per unit length λ = Q/L
Charge of slice dq = λ.dx
Electric potential: 
Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE
Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE


Potential Due to a Uniformly Charged Disc

Find the electric potential at the axis of a uniformly charged disc and use potential  to find the electric field at same point.

Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE

Potential due to ring element of radius r and thickness dr is dv:

Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE
Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE
Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE

The document Electric Potential of Uniformly Charged Ring, Rod, and Disc Notes | Study Additional Documents and Tests for JEE - JEE is a part of the JEE Course Additional Documents and Tests for JEE.
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