An electric dipole at the origin consists of two charges ±q spaced distance s apart along the y-axis.
a. Find an expression for the potential V(x, y) at an arbitrary point in the xy-plane. Your answer will be in terms of q, s, x, and y.
b. Use the binomial approximation to simplify your result of part a when s << x and s << y.
c. Assuming s << x and y, find expressions for E_xand E_y, the components of E for a dipole.
d. What is the on-axis field E? Does your result agree with Equation 23.10?

e. What is the field E on the bisecting axis? Does your result agree with Equation 23.11?

Transcribed Image Text:

1 23 4πεο r3 (on the axis of an electric dipole) E dipole 1 E aipole (bisecting plane) .3 4πεο r3