Question 4. Consider an insulator sphere of radius X, which has a charge Q. The charge is distributed uniformly over the sphere. Point P is inside the sphere and at a distance D from the center of the sphere. We want to determine the electric field (E field) at location P. Draw the sphere, label it as X, and label point P. Draw the E field lines outside of the sphere. Draw the Gaussian surface for finding the E field at location P.
2) Determine the electric field at location P. Please include every step and explain each step. No credit will be given for memorized conclusions or final answers.
3) For a distance outside the sphere, please explain when it is tripled, how does the E field magnitude change, and why?