Three nested hollow spheres have the same center. The innermost sphere has a radius of 5 cm and carries a uniformly distributed charge of 6 nC (1 nC = 1 × 10^(-9) C). The middle sphere has a radius of 8 cm and carries a uniformly distributed charge of -4 nC. The outermost sphere has a radius of 10 cm and carries a uniformly distributed charge of 8 nC.
(a) What is the magnitude of the electric field at a distance of 4 cm from the center?
(b) What is the magnitude of the electric field at a distance of 7 cm from the center?
(c) What is the magnitude of the electric field at a distance of 9 cm from the center?