Eight identical point charges of magnitude are located at the eight corners of a cube…

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

Problem

Eight identical point charges of magnitude qq are located at the eight corners of a cube whose edge length is aa. Derive an expression for the total electric potential energy of the system and express it in the form (α+β2+γ/3) kq2/a(\alpha + \beta\sqrt{2} + \gamma/\sqrt{3})\,kq^{2}/a. State the numerical values of α\alpha, β\beta, and γ\gamma.

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