Electric potential (18.5)

What is electric potential of a point?

Electric potential of a point - the work done per unit charge on a positive test charge to bring it from infinity to that point

What is the relationship between electric potential and electric field?

The electric field is equal to the negative potential gradient

What is the relationship between electric potential due to a point charge, charge and distance and when is this applicable?

V = Q/4πε₀r

Where V is the electric potential at a point (V)

Where Q is the charge of the point charge (C)

Where ε₀ is the permittivity of free space - 8.85 ×10^-12

Where r is the distance between the charge and point (m)

This is applicable in a radial field

What is absolute electric potential of a charge?

Absolute potential energy of a charge - the work done to bring the charge from infinity to its current position

What is the relationship between absolute electric potential energy due to a point charge, charge and distance and when is this applicable?

E_{l pe} = Qq/4πε₀r

Where V is the electric potential at a point (V)

Where Q is the charge of the point charge (C)

Where q is the charge of the charge (C)

Where ε₀ is the permittivity of free space - 8.85 ×10^-12

Where r is the distance between the charge and point (m)

This is applicable in a radial field