Potential Due to a Point Charge: The electric potential due to a point charge decreases as the distance between the point charge and the point at which the potential is being calculated increases. This means that the electric field due to a point charge decreases with increasing distance from the point charge, which is consistent with the inverse square law for electric fields.

Potential Due to a Point Charge

The electrostatic potential at a point due to a point charge is given by the formula:

V = k * q / r

where V is the electrostatic potential at the point, k is the Coulomb constant (approximately equal to 8.99 x 10⁹ N m²/C²), q is the charge of the point charge, and r is the distance between the point charge and the point at which the potential is being calculated.

This formula assumes that the point charge is located at the origin, and that the point at which the potential is being calculated is at a distance r from the point charge. The formula also assumes that the point charge is the only source of electric charge in the system.

As the unit of electric potential is volt, 1 Volt (V) = 1 joule coulomb^-1(JC^-1)

When work is done in moving a charge of 1 coulomb from infinity to a particular point due to an electric field against the electrostatic force, then it is said to be 1 volt of the electrostatic potential at a point.

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By Team Learning Mantras