Question

Electric potential due to an electric dipole at any point on its axis

Answer 1

Deduce an expression for the electric potential due to an electric dipole at any point on its axis. ... Potential dueto dipole, is the sum of potential dueto charges q and -q.

Answer 2

$\large\underline{\textsf{Electric Potential on Axis of Electric Dipole:-}}$

• Potential due to point charge V = 1/4π€o q/r
• Potential at P due to charge -q is V1= 1/4π€o q/r+l ..........(1)
• Potential at P due to charge +q is V2= 1/4π€o q/(r-l) .........(2)

Net potential at P = V1+ V2

= 1/4π€o 2l/(r²-l²)

V= 1/4π€o q1q2/r1+1/4π€o q1q2/r2+1/4π€o/q2q3/r3

V= 1/4π€o P/(r²-l²)

since l<< r

so,

r²-l² is directly proportional to r²

V= 1/4π€o P/r²