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

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

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

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

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.