Given an electric dipole as shown in the Figure below, that was discussed extensively in the lectures, (1) show that for r>>a this dipole creates a field E with E, and Ev components given below; and (2) show that this expression of E can also be written in polar coordinates. Point Dipole Approximation P(x,y,0) E Take the limit r >> a E +q Finite Dipole You can show... 3p 4лer¹ P 4πε r.³ 2.3 Point Dipole a a 8 P 019 0. 1. Ex E₁ → E, -sin cos (3 cos² 0-1) P02
Given an electric dipole as shown in the Figure below, that was discussed extensively in the lectures, (1) show that for r>>a this dipole creates a field E with E, and Ev components given below; and (2) show that this expression of E can also be written in polar coordinates. Point Dipole Approximation P(x,y,0) E Take the limit r >> a E +q Finite Dipole You can show... 3p 4лer¹ P 4πε r.³ 2.3 Point Dipole a a 8 P 019 0. 1. Ex E₁ → E, -sin cos (3 cos² 0-1) P02
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• Given an electric dipole as shown in the Figure below, that was discussed extensively
in the lectures, (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.
Transcribed Image Text:Given an electric dipole as shown in the Figure below, that was discussed extensively
in the lectures, (1) show that for r>>a this dipole creates a field E with E, and E,
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)
Take the limit r » a
+q
Finite Dipole
You can show...
3p
sin 0 cos 0
3
a
E.
a
E, →
b-
Point Dipole
4xe, p> (3 cos² 0 1)
P02
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