1. Day18: Electric Dipole Potential & Determining E-Field from V
The Electric Potential of an Electric Dipole
Determination of the Electric Field from the Electric Potential
The Gradient Operator

2. Electric Dipole Potential
Two equal point charges Q, of
opposite sign, separated by a distance
l, is called an electric dipole
The electric potential at an arbitrary
point P, due to an electric dipole is
The sum of the potentials due to each
charge

3. Electric Dipole Potential
If we define p = Ql as dipole moment, then:

4. Determination of the Electric Field from the Electric Potentialdl
A B
The potential difference between two points in an electric field is known to be:

5. Determination of the Electric Field from the Electric Potential
Re-write the electric potential in differential form and adding the x-, y- , and z – components of the electric field
Define each electric field component as the partial derivatives of the electric potential in each direction
Re-write as a vector equation.