Final answer:
To determine the electric field at a distance from a point charge, use Coulomb’s law formula E = k * |q| / r^2. For instance, with a 5.00 mC charge at 2.00 m, the field strength would be 1.124 x 10^6 N/C.
Step-by-step explanation:
To calculate the magnitude of the electric field inside a solid at a particular distance from the center of a cavity due to a point charge, we employ Coulomb's law and the concept of an electric field due to a point charge.
The formula for the electric field E due to a point charge q is given by E = k * |q| / r^2, where k is Coulomb's constant (approximately 8.99 x 10^9 N*m^2/C^2), |q| is the magnitude of the charge, and r is the distance from the charge where the field is being calculated.
For example, if the charge is 5.00 mC (or 5.00 x 10^-3 C), and the distance is 2.00 m, the electric field strength at that point would be calculated as E = (8.99 x 10^9 N*m^2/C^2) * (5.00 x 10^-3 C) / (2.00 m)^2.
Applying the formula, the electric field strength would be E = 1.124 x 10^6 N/C.1