Electrical Potential Energy

Electric potential energy, or electrostatic potential energy, is a potential energy (measured in joules) that results from conservative Coulomb forces and is associated with the configuration of a particular set of point charges within a defined system. Not to be confused with the term electric potential (measured in volts), the term “electric potential energy” is used to describe the potential energy in systems with electric fields that change with time (time variant), while the term “electrostatic potential energy” is used to describe the potential energy in systems with electric fields that do not change with time (time invariant). Read more on – Wikipedia

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Answer the following questions:

(a) Calculate the potential at a point P due to a charge of 4 × 10–7C located 9 cm away.

(b) Hence obtain the work done in bringing a charge of 2 × 10–9 C from infinity to the point P. Does the answer depend on the path along which the charge is brought?

(c) Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.

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