Three identical charges, each having a value `1.0 xx10^(-8)C,` are placed at the corners of an equilateral triangle of side 20 cm find the electric field and potential at the centre of the triangle.

Explanation

To solve the problem of finding the electric field and potential at the center of an equilateral triangle formed by three identical charges, follow these steps:

### Step 1: Understand the Configuration
We have three identical charges \( Q_1, Q_2, Q_3 \) each equal to \( 1.0 \times 10^{-8} \, C \) placed at the corners of an equilateral triangle with a side length of \( 20 \, cm \) (which is \( 0.2 \, m \)).

### Step 2: Determine the Distance from the Charges to the Center
For an equilateral triangle, the distance from each vertex to the centroid (center) can be calculated using the formula:
\[
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