Electrical potential < /B>	Gravitational potential
The potential in an electric field is a measure of the work that would have to be done in bringing unit +ve charge to that point from infinity. This by the definition of work is equal to the product of the force and displacement, here however the force is not constant through out. So we integrate the Force with respect to r. W = r&inf; 1/ 4 π ε . Q / r2 ds = 1/ 4 π ε . Q r&inf;[ 1 /r ]	The potential in a gravitational field is a measure of the work that would have to be done in bringing unit mass to that point from infinity. This by the definition of work is equal to the product of the force and displacement, here however the force is not constant through out. So we integrate the Force with respect to r. W = r&inf; G m / r2 ds = G m r&inf;[ 1 /r ]
V = 1/ 4 π ε . Q /r	U = - G m /r

Notes:

• Gravitational Potential is negative, so energy is given out when two masses are moved closer together
• In practical situations we often chose a potential zero other than infinity, usually at the point of lowest potential energy in the system.