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ELECTRIC FIELD OF A DIPOLE

Given an electric dipole as shown in the Figure below, (1) show that for r>>a this dipole creates a field E with Ex and Ey
components given below; and (2) show that this expression of E can also be written
in polar coordinates.

Point Dipole Approximation
y
P(xy,0)
E,
Take the limit r >> a
E
You can show...
+q
Finite Dipole
3p
E,
-sin 0 cos 0
4,TE,r
a
II
E,
Point Dipole
(3 cos* 0 –1)
4tE,r
→
b-
P02

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