Four identical point charges

PHYSICS · Subjective · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Four identical point charges, each of magnitude +Q+Q, are placed at the corners of a square of side length aa. The space is entirely filled with a uniform dielectric material of relative permittivity κ\kappa. Derive a simplified symbolic expression for the electric potential at the center of the square in terms of QQ, aa, κ\kappa, and fundamental constants.

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