Four point charges are located at the corners of a square with sides of length a. Two of the charges are +q, and two are −q, Find the magnitude and direction of the net electric force exerted on a charge +Q, located at the center of the square, for each of the following two arrangements of charge: (a) The charges alternate in sign (+q, −q, +q, −q) as you go around the square; (b) the two positive charges are on the top corners, and the two negative charges are on the bottom corners.
Step 1 of 4</p>
Here we need to calculate the magnitude and direction of net electrostatic force experienced by a charge which is located at the center of the square, for the given charge configuration.
The charges configuration as we go around the square, the charges have alternate polarity with sign .
Step 2 of 4</p>
Since the charges with same polarity are placed at the diagonal corners of the square, the force exerted by each charge on the charge at center, get cancelled with each other individual forces.
This individual forces gets cancelled giving rise to zero net electrostatic force on the charge at the center of square.
Therefore, for the given charge configuration, the net force on the charge located at the center of square is zero.