Group Work: Given the concentric shells to the right, where Rs = 1.5 cm, Ri = 2.

Question

Group Work: Given the concentric shells to the right, where Rs = 1.5 cm, Ri = 2.5 cm, and Ro =3.5 cm answer the following questions: If the inner sphere is insulating and has a rho of 2 mu C/m^3, what is the total charge? What would the total charge on the inner surface (Ri) be due to the inner sphere? Outer sphere? If the outer surface (Ro) had 20 mu C placed upon it, what would the surface charge density be? What is the electric field strengths at distances of 2.0, 3.0, and 4.0 cm from the center?

Explanation / Answer

a) total charge = 2 * 10-6 * 4/3 * 3.14 * 0.0153

                           = 2.826 * 10-11 C

b) total charge = - 2.826 * 10-11 C

c) surface charge density = (20 * 10-6)/(4pi * 0.0352)

                                           = 1.3 * 10-3 C/m2

d)   electric field = 8.98 * 109 * 2.826 * 10-11/0.022

                           = 634.43 N/C

      electric field = 8.98 * 109 * 2.826 * 10-11/0.032

                           = 282 N/C

      electric field = 8.98 * 109 * 2.826 * 10-11/0.042

                           = 158.61 N/C

    

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