Give expression for 'potential energy' of charge 'q' at a distance 'r' in an external electric filed ?

Define the term potential energy of charge q at a distance r in an external electric field.

Define the term potential energy of charge q at a distance r in an external electric field.

Define the term potential energy of charge q at a distance r in an external electric dipole ?

Define the term potential energy of a charge q at a distance r in an external electric field.

Derive an expression for potential energy of a system of two charges in an external electric field.

Derive an expression for potential energy of a system of three charges in the absence of external electric field.

Derive an expression for potential energy of a system of two charges in the absence of the external electric field.

Derive an expression for potential energy of a system of two charges in the absence of the external electrical field.

Give the expression for the potential energy of a dipole in an external electric field with the help of a neat diagram.