Final answer:
To calculate the magnitude of the electric field at a certain point due to a point charge, we use the formula E = k * |q| / r^2, where E is the electric field, k is Coulomb's constant, |q| is the magnitude of the charge, and r is the distance from the charge to the point.
Step-by-step explanation:
Magnitude of Electric Field
The question asks to calculate the magnitude of the electric field at the point (4.00 m, 0) due to a point charge. To find this, we need to apply Coulomb's Law, which states that the electric field (E) due to a point charge is given by E = k * |q| / r^2, where k is Coulomb's constant (8.99 × 10^9 Nm^2/C^2), |q| is the magnitude of the charge, and r is the distance from the charge to the point of interest.
Assuming that the charge is located at the origin and using the provided values, we get:
Distance from the charge, r = 4.00 m
Plugging these values into the formula:
E = (8.99 × 10^9 N·m^2/C^2) * (5.00 × 10^-3 C) / (4.00 m)^2
After calculating this expression, we would obtain the electric field magnitude at the point in question.