In the figure a sphere, of radius a = 9.6 cm and charge q = 8.00×10 -6 C uniform

Question

In the figure a sphere, of radius a = 9.6 cm and charge q = 8.00×10-6 C uniformly distributed throughout its volume, is concentric with a spherical conducting shell of inner radius b = 24.0 cm and outer radius c = 26.0 cm . This shell has a net charge of -q.

Find expressions for the electric field, as a function of the radius r, within the sphere and the shell (r < a). Evaluate for r = 4.8 cm.
Find expressions for the electric field, as a function of the radius r, between the sphere and the shell (a < r < b). Evaluate for r=16.8 cm.
Find expressions for the electric field, as a function of the radius r, inside the shell (b < r < c). Evaluate for r = 25.0 cm.
Find expressions for the electric field, as a function of the radius r, outside the shell (r > c). Evaluate for r = 27.0 cm.
What is the charge on the outer surface of the shell?

Explanation / Answer

a] E = kqr/a^3

E = 9e9*8e-6*0.048/0.096^3

= 3906250 N/C

b] E = kq/r^2

E = 9e9*8e-6/0.168^2 = 2551020 N/C

c] since enclosed charge is zero, E = k(q-q)/r

E = 0N/C

d] since enclosed charge is zero, E = k(q-q)/r

E = 0N/C

Charge on outer surface is zero

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