Use your result in Prob. 2.7 to find the field inside and outside a solid sphere of radi...

Use your result in Prob. 2.7 to find the field inside and outside a solid sphere of radius R that carries a uniform volume charge density ρ. Express your answers in terms of the total charge of the sphere, q. Draw a graph of |E| as a function of the distance from the center.

Reference: Prob. 2.7.

Find the electric field a distance z from the center of a spherical surface of radius R (Fig. 2.11) that carries a uniform charge density σ. Treat the case z < R (inside) as well as z > R (outside). Express your answers in terms of the total charge q on the sphere. [Hint: Use the law of cosines to write r in terms of R and θ. Be sure to take the positive square root: if R > z, but it’s (z − R) if R < z.]

Reference: Fig.2.11.