Final answer:
To calculate the magnitude of the electric field at the center of a square, we can use the principle of superposition. Given the charges at the corners of the square, we can use the formula E = k * (q1/r1^2 + q2/r2^2 + q3/r3^2 + q4/r4^2) to calculate the electric field at the center.
Step-by-step explanation:
To calculate the magnitude of the electric field at the center of a square, we can use the principle of superposition. We can consider each charge individually and then sum up the contributions.
Given that one corner of the square is occupied by a -38.1μC charge and the other three corners are occupied by -26.5μC charges, we can calculate the electric field at the center using the formula:
E = k * (q1/r1^2 + q2/r2^2 + q3/r3^2 + q4/r4^2)
where q1, q2, q3, and q4 are the charges and r1, r2, r3, and r4 are the distances of the charges from the center of the square.
Using the given distances, we can calculate the magnitude of the electric field.