Final answer:
To find the radius from the distance of separation between charges in electricity, use the formula r = sqrt(kQ/E), where r is the radius, k is the electrostatic constant, Q is the charge, and E is the electric field magnitude.
Step-by-step explanation:
To find the radius from the distance of separation between charges in electricity, you need to have information about the charges and their electric fields. The electric field is a measure of the force experienced by a positive test charge at a point in space. The electric field formula is given by E = kQ/r^2, where E is the electric field magnitude, k is the electrostatic constant, Q is the charge, and r is the distance between the charges.
By rearranging the formula, you can find the radius by solving for r. Specifically, r = sqrt(kQ/E), where sqrt denotes the square root function. Plug in the values for k, Q, and E to calculate the radius.
For example, if you have a charge Q of 4.50 Coulombs and an electric field E of 3000 N/C, you can find the radius r using the formula r = sqrt((9 x 10^9 Nm^2/C^2)(4.50 C)/(3000 N/C)).