Electric Potential Energy of Two Point Charges Consider two different perspectives: #1aElectric potential when q 1 is placed: V(~r2). The potential from a continuous charge distributioncan be obtained by summing the contributions from each point in the source charge. The electric potential energy U of a system of two point charges was discussed in Chapter 25 and is equal to (26.1) where q 1 and q 2 are the electric charges of the two objects, and r is their separation distance. Electric Potential Energy. In the electrical case, a charge will exert a force on any other charge and potential energy arises from any collection of charges. The electric potential energy of any given charge or system of changes is termed as the total work done by an external agent in bringing the charge or the system of chargesfrom infinity to the present configuration without undergoing any acceleration. Potential energy is measured in SI unit of ‘ Joule ‘. Potential energy can be defined as the capacity for doing work which arises from position or configuration. Definition:Electric potential energy is defined as the total potential energy a unit charge will possess if located at any point in the outer space. The formula is as follows: Gravitational Potential Energy = mgh The electrostatic potential energy UE stored in a system of N charges q1, q2, ..., qN at positions r1, r2, ..., rN respectively, is: https://www.khanacademy.org/.../v/electric-potential-energy-of-charges Gravitational potential energy is a function of the position of the object in a gravitational field, force of gravity at that point and mass of the object. The electric potential (voltage) at any point in space produced by any number of point charges can be calculated from the point charge expressionby simple addition since voltage is a scalar quantity. = V2 = k q 1 r 12 Electric potential energy when q2 is placed into potential V2: U = q2V2 = k q 1q2 r 12 #1bElectric potential when q2 is placed: V(~r 1). The equation for the electric potential due to a point charge is V = kQ r V = kQ r, where k is a constant equal to 9.0×10 9 N⋅m 2 /C 2. The electric potential energy of a system of three point charges (see Figure 26.1) can be calculated in a similar manner (26.2)

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