Question

Derive relation for electrostatic potential due to a point charge ​

Answer 1

Explanation:

its the answer for electrostatic potential due to point charge

Answer 2

Answer:

12th

Physics

Electrostatic Potential and Capacitance

Potential Due to a Point Charge

Derive an expression for th...

PHYSICS

Derive an expression for the electric potential due to a point charge :

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ANSWER

Consider the electric potential due to a point charge q, As we move from point A, at distance rA from the charge q, to point B, at distance rB from the charge q, the change in electric potential is

ΔVBA=VB−VA=−∫ABE.ds

E.ds=[kr2q]r^.ds

r^.ds=dr

Only the radial distance r determines the work done or the potential. We can move through any angle we like and, as long as the radial distance remains constant, no work is done or there is no change in the electric potential.

ΔVBA=VB−VA=−∫rArBEdr=−∫rArB[kr2qdr]

ΔVBA=VB−VA=−kq[(−1)r−1]rAr

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