Two point charges are located at two corners of a rectangle,...

Two point charges are located at two corners of a rectangle, as shown in the figure.
a) What is the electric potential at point $A ?$
b) What is the potential difference between points $A$ and $B ?$

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Key Concepts

Electric Potential

Electric potential is a scalar quantity that represents the work done per unit charge in bringing a small test charge from a reference point (usually infinity) to a specific point in an electric field. It is calculated for point charges using the formula V = kq/r, where k is Coulomb's constant, q is the charge, and r is the distance from the charge to the point in question.

Superposition Principle

The superposition principle states that the total electric potential at a point due to multiple point charges is the algebraic sum of the potentials due to each individual charge. This principle is applicable because the electric potential is a scalar quantity, allowing independent contributions to be added directly when calculating the overall potential at a given location.

Potential Difference

The potential difference between two points is defined as the difference in electric potential between those points. It represents the work done per unit charge in moving a test charge from one point to the other within the electric field. Calculating the potential difference is essential in understanding energy changes in a system of charges and is fundamental in applications such as electric circuits and field mapping.

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