First slide

Potential energy of system of charge in external field

Question

If three charges ‘q’ each are placed at the vertices of an equilateral triangle. What is the net potential energy, if the side of equilateral triangle is $l c m$ ?

Moderate

Solution

$U = \frac{1}{2} \sum_{\begin{array}{l} i, j = 1 \\ i \neq j \end{array}}^{n} \frac{1}{4 π ε_{0}} \frac{q_{i} q_{j}}{r_{i j}}$
$U = 3 \frac{1}{4 π ε_{0}} \frac{q^{2}}{l}$

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