Consider four equal charges (q, each) placed on the corners of a square with side a. Determine the magnitude and direction of the resultant force on the charge on lower right corner.

Explanation

To solve the problem of determining the magnitude and direction of the resultant force on the charge at the lower right corner of a square configuration of four equal charges, we can follow these steps:

### Step 1: Identify the Charges and Their Positions
We have four equal charges \( q \) placed at the corners of a square with side length \( a \). Let's label the charges as follows:
- Charge 1 (\( q_1 \)) at the top left corner
- Charge 2 (\( q_2 \)) at the top right corner
- Charge 3 (\( q_3 \)) at the bottom left corner
- Charge 4 (\( q_4 \)) at the bottom right corner (the charge we are analyzing)
...