Find the electric field and potential at the centre of a square of side d = 10 cm. Four identical charges of `q=2muC` each are kept at the four corners of a square.

Explanation

To find the electric field and potential at the center of a square with side length \( d = 10 \, \text{cm} \) and four identical charges \( q = 2 \, \mu\text{C} \) located at the corners, we can follow these steps:

### Step 1: Understand the Configuration
We have a square with four corners, each occupied by a charge of \( 2 \, \mu\text{C} \). The distance from the center of the square to each corner can be calculated using the Pythagorean theorem.

### Step 2: Calculate the Distance from the Center to a Corner
The distance \( r \) from the center of the square to any corner can be calculated as follows:
\[
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