In this problem we will explore the electric potential of a dipole. a) Suppose an electric dipole has moment p. Use the following diagram to determine the potential V (x, y) at the point P(x, y). y Р (х, у) r+ y + s/2 b) If r » s show that the electric potential of the dipole can be written as, 1 рсos® V (r, 0) 4πεο r2 where r is the distance from the center of the dipole and 0 is the angle from the dipole's axis.
In this problem we will explore the electric potential of a dipole. a) Suppose an electric dipole has moment p. Use the following diagram to determine the potential V (x, y) at the point P(x, y). y Р (х, у) r+ y + s/2 b) If r » s show that the electric potential of the dipole can be written as, 1 рсos® V (r, 0) 4πεο r2 where r is the distance from the center of the dipole and 0 is the angle from the dipole's axis.
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Transcribed Image Text:In this problem we will explore the electric potential of a dipole.
a)
Suppose an electric dipole has moment p. Use the following diagram to determine
the potential V (x, y) at the point P(x, y).
y
Р (х, у)
r+
y +
s/2
b)
If r » s show that the electric potential of the dipole can be written as,
1 рсos®
V (r, 0) :
4πεο r2
where r is the distance from the center of the dipole and 0 is the angle from the dipole's axis.
12
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