Question

A solid, insulating sphere of radius a has a uniform charge dens ty throughout its volume and a total charge of Q. Concentric with this sphere is an uncharged, conducting hollow sphere whose inner and outer radii are D and c as shown in the fiqure below, Wewish to understand opely the chargas and clectricldsall locations. (Uthefollowing as necssary: . b cand r. Do nat subst tute numerical valucs; us variables only) anot subst tute Insulato (a) Find tha charge contained within a sphere of radiusc a (h) From this valua, find the magnituda of tha elactric fiald forra (c) what charge is contained within a sphere of radius r when arb (d) From this value, find the magnitude of the clectric ficld for rwhen 3crcb. e) Now oonsider when b r ". Whel İs lhe rlidynitud of the electric field rut uhis 'dnge or values ur r? (Frurn this value, what must be the charge on the inner surface of the tollow sphere? (a] From part t, what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, D andWhich of these surfaces has the largest magnitude of surface charge density? Osurface a surface surface c

Answer 1