Question

Obtain an expression for electric potential due to a point charges.​

Answer 1

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]rArB

ΔVBA=VB−VA=kq[