A particle with a charge of -60.0 nC is placed at the center of a nonconducting spherical shell of inner radius 19 cm and outer radius 31.0 cm. The spherical shell carries charge with a uniform density of -1.18 microC/m3.

(a) What is the electric field strength just barely inside the surface of the nonconducting shell?

N/C

(b) What is the total amount of charge on the nonconducting shell?

C

To answer the next three questions, it is useful to find an expression for the electric field strength inside the nonconducting shell as a function of distance from the center of the shell.

(c) What is the electric field strength at a distance of 22 cm from the center of the shell?

N/C

(d) What is the electric field strength at a distance of 25 cm from the center of the shell?

N/C

(e) What is the electric field strength at a distance of 28 cm from the center of the shell?

N/C

(f) What is the electric field strength just barely outside the surface of the nonconducting shell?

N/C

(g) Suppose a proton were to have a circular orbit just outside the spherical shell. Calculate the speed of this proton.