Electric Potential of Uniformly Charged Ring, Rod, and Disc Class 12 Notes | EduRev

: Electric Potential of Uniformly Charged Ring, Rod, and Disc Class 12 Notes | EduRev

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 Class 12 Notes | EduRevElectric Potential of Uniformly Charged Ring, Rod, and Disc Class 12 Notes | EduRev
(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 Class 12 Notes | EduRev
Electric Potential of Uniformly Charged Ring, Rod, and Disc Class 12 Notes | EduRev


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 Class 12 Notes | EduRev
Charge per unit length λ = Q/L
Charge of slice dq = λ.dx
Electric potential: 
Electric Potential of Uniformly Charged Ring, Rod, and Disc Class 12 Notes | EduRev
Electric Potential of Uniformly Charged Ring, Rod, and Disc Class 12 Notes | EduRev


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 Class 12 Notes | EduRev

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

Electric Potential of Uniformly Charged Ring, Rod, and Disc Class 12 Notes | EduRev
Electric Potential of Uniformly Charged Ring, Rod, and Disc Class 12 Notes | EduRev
Electric Potential of Uniformly Charged Ring, Rod, and Disc Class 12 Notes | EduRev

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