What is the formula to calculate the electric potential due to a point charge?

Question

BlackTom AI · Accepted Answer

The question asks for the formula to calculate the electric potential due to a point charge.

Option a: V = k_e q / r^2. This is dimensionally inconsistent for electric potential; r^2 in the denominator corresponds to the electric field of a point charge (E ~ 1/r^2), not the potential. So this is incorrect.

Option b: V = k_e q / r. This is the standard expression for the electric potential at a distance r from a point charge q, where k_e is Coulomb's constant. It directly relates potential to charge and distance, with the correct 1/r dependence. This is the correct formula.

Option c: V = k_e q1 q2 / r^2. This resembles a product of two charges over r^2, which is not the potential for a single point charge; it resembles potential energy between two charges divided by r or some misapplied form. In any case, the r-dependence and the missing single-charge structure make it incorrect for the potential due to a single point charge.

Option d: V = k_e q1 q2 / r. This expression corresponds to the potential energy between two charges (U = k_e q1 q2 / r), not the electric potential due to a single charge. Therefore, it does not represent the potential caused by a single point charge.

What is the formula to calculate the electric potential due to a point charge?单项选择题

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