Electric potential

Electric work - Electric potential energy - Electric potential

Electric potential at x as integral of electric filed from point x to infinity

Electric potential of single point charge.

Electric potential of many point charges - superposition.

Electric potential of charged sphere.

Gradient of electric potential.

Two charges on a line

Potential - Potential energy and Work 

Nice intuition for electric potential and the unit electron volt 

Electric potential for proton 

Electric potential can be thought as escape energy 

generic definition of potential 

Work and potential energy 

Notations for potential difference 

Notations for work over a path 

Potential reference point and work 

Is 9 volts dangerous voltage 

Electric work         

Definition of potential difference       WA,B  / q =  VA,B         

Calculations for uniform field       V = E * d

Electric potential of a point charge

Potential of many point charges     

Potential of a sphere

Electrostatic potential energy

Reason one: U = q * V                

(Change of K) + (Change of U) = 0         | change of K | = | q * pd |

Reason two:    E = - (gradient of the V )             

Visualization of scalar  field by equipotential lines.         

Equipotential lines are perpendicular to the field lines      

E is always in the direction  of the decreasing potential                

Equipotential lines for uniform field            

Positive and negative equipotential lines for point charge       

Equipotential lines for a physical dipole       

**Electric work is path independent      Electric potential and reference point      

VA = VRef  - ( WRef , A   / q )    

Theorem: voltage is equal to potential difference    VA,B = VA - VB      Potential is relative, voltage/pd is absolute