Four identical charges q are located at the vertices of a square with side a.

Four identical charges q are located at the vertices of a square with side a. What is the potential of the electric field in the center of the square? q = 1.2 10 ^ -10 C, a = 6 cm.

Since the diagonals of the square intersect at right angles, we calculate the distance from the center to the vertex using the Pythagorean theorem:

√ (a ^ 2/4 + a ^ 2/4) = a / √2.

Then:

r = 0.06 / √2 = 0.043.

The potential of the electric field of a point charge q is determined by the formula:

φ = 1/4 * π * ε * ε0 * q / r, where r is the distance, ε0 is the electrical constant (8.85 * 10 ^ (- 12), ε is the dielectric constant of the medium.

φ = 1.2 * 10 ^ (- 10) / 4 * π * 8.85 * 10 ^ (- 12) * 0.043 = 25 V.

Since there are four charges:

4 * 25 = 100 V.

Answer: 100 V.