answer all the parts please.a-h In the figure a solid sphere of radius a = 2.70

Question

answer all the parts please.a-h

In the figure a solid sphere of radius a = 2.70 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q_1 = +6.99 fC: the shell has a net charge q_2 = -q_1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell?

Explanation / Answer

a) By Gauss law, E = kQenclosed/r^2 = 0 N/C

b) E = kQenclosed/r^2 = 9e9*(6.99e-15/8)/(0.027/2)^2

= 0.0431N/C

c) E= kQenclosed/r^2 = 9e9*(6.99e-15)/(0.027)^2

= 0.0862N/C

d)E= kQenclosed/r^2 = 9e9*(6.99e-15)/(0.027*1.5)^2

= 0.0862N/C = 0.0383 N/C

e) E=0 N/C. as field is zero in a conductor.

f) E = kQenclosed/r^2 = k*(q1-q1)/r^2 = 0 N/C

g) inner surface Charge = -6.99 fC

h) on outer surface charge = 0 C

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