The electric potential from an elementary electric dipole located at the origin is given by the expression $(r) = p-r/(4tE.r³) where p is the electric dipole moment vector. Show that the corresponding electric field is given by the expression E--DVф - (3 р-r-hat r-hat - p)/(4пЕг) where r-hat is the unit vector in the direction of the vector r.
The electric potential from an elementary electric dipole located at the origin is given by the expression $(r) = p-r/(4tE.r³) where p is the electric dipole moment vector. Show that the corresponding electric field is given by the expression E--DVф - (3 р-r-hat r-hat - p)/(4пЕг) where r-hat is the unit vector in the direction of the vector r.
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Transcribed Image Text:The electric potential from an elementary electric dipole located at the origin is
given by the expression
Þ(r) = p'r/(4TE,r³)
where p is the electric dipole moment vector. Show that the corresponding
electric field is given by the expression
E = -VO = (3 p'r-hat r-hat - p)/(4tE,r³)
where r-hat is the unit vector in the direction of the vector r.
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