Three paricles, each of mass m and carrying a charge q each, are suspended from a common pointby insulating massless strings each of length L. If the particles are in equilibrium and are located at the corners of an equilateral triangle of side a, calculate the charge q on each particle. Assume `Lgtgta`.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Setup
We have three particles, each with mass \( m \) and charge \( q \), suspended from a common point by massless strings of length \( L \). The particles are positioned at the corners of an equilateral triangle with side length \( a \). We need to find the charge \( q \) on each particle when they are in equilibrium.

### Step 2: Analyze the Forces
Each particle experiences three forces:
1. The gravitational force \( mg \) acting downward.
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