A positive and a negative point charge of absolute value q are a distance d away
ID: 3281400 • Letter: A
Question
A positive and a negative point charge of absolute value q are a distance d away, as shown at right -9 With the two charges infinitely far apart as a reference configuration, is the electrostatic potential work energy theorem: Wet-AK+ U a. energy of the system positive, negative, or zero? Explain based on the Consider calculating the electrostatic potential energy from 1E-26E b. Is it possible to use superposition to find the electrostatic potential energy of this configuration with this method? Explain. Hint: Is the energy density linear in charge?) i. ii. In general, if the charge distribution is localized in one region of integral bounded by where the charges are, or do you still have to consider all space? space, is your sum or Consider calculating the electrostatic potential energy from dUE dVother, where Vother is the potential due to the charge(s) other than the dq 2 Is it possible to use superposition to find the electrostatic potential energy of this configuration with this method? Explain i. In general, if the charge distribution is localized in one region of space, is your sum or integral bounded by where the charges are, or do you still have to consider all space? ii.Explanation / Answer
a. since the two charges are so same magnitude and are not in motion, So total energy of the system will be equal to potential energy which is nehgative in nature as it represents the work done against the force. So, work done will be negative.
b. i. Electropotential energy is a scalar quantity and thus it always follows superposition principle according to which the total potential energy is equal to the sum of potential energies on the individual charges.
ii. Potential will be same throughout so we don't need to consider the whole space along which electric filed is acting.
(c) Here, potential energy is not representing linear characterstics so, superposition principle is not valid for this case.
ii. Since superposition principle is not applicable, we have to calculate the potential energy at different points and thus have to calculate all space.
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