Three equal charges of `5.0 muC` each are placed at the three vertices of an equilateral triangle of side 5.0cm each. Calculate the electrostatic potential energy of the system of chages.

Explanation

To calculate the electrostatic potential energy of a system of three equal charges placed at the vertices of an equilateral triangle, we can follow these steps:

### Step 1: Identify the charges and distances
We have three equal charges, \( Q_1 = Q_2 = Q_3 = 5.0 \, \mu C = 5.0 \times 10^{-6} \, C \). The distance between any two charges (the side of the equilateral triangle) is \( R = 5.0 \, cm = 0.05 \, m \).

### Step 2: Use the formula for interaction energy
The electrostatic potential energy \( U \) of a system of point charges is given by the formula:
\[
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