An aluminum spherical ball of radius 3.5 cm has a charge of 3.5 μC. A copper spherical shell, concentric with the aluminum ball, has an inner radius of 6.25 cm, an outer radius of 8.5 cm, and a total charge of -10.5 μC. Because the only non-zero component of the electric field is radially directed, the electric field may be expressed as →E = Eˆr.
Part (a) What is the radial component of the electric field, in newtons per coulomb, at a distance of 1.5 cm from the center of the aluminum spherical ball?
Part (b) What is the radial component of the electric field, in newtons per coulomb, at a distance of 5.6 cm from the center of the aluminum spherical ball?
Part (c) What is the radial component of the electric field, in newtons per coulomb, at a distance of 6.8 cm from the center of the aluminum spherical ball?
Part (d) What is the radial component of the electric field, in newtons per coulomb, at a distance of 11.6 cm from the center of the aluminum spherical ball?
Part (e) How much charge, in microcoulombs, is on the inner surface of the spherical copper shell?
Part (f) How much charge, in microcoulombs, is on the outer surface of the spherical copper shell?
Part (g) Which diagram best represents the radial component of the electric field as a function of the distance from the center of the aluminum sphere? The distances along the axes may not correspond exactly to the randomized numbers in your version of the problem, but there are four distinct corresponding regions with the same essential behavior.