(a) Calculate the surface charge densities on the inner( s a ) and outer( s b )

Question

(a) Calculate the surface charge densities on the inner(sa) and outer(sb) surfaces of thespherical shell.

sa =

sb =

(b) Calculate the net radial electric field component at thefollowing radii:

At r = 2 cm: Er =

At r = 4.5 cm: Er =

At r = 10 cm: Er =

(c) If a conducting wire is added that allows electric charge toflow between the location of q1 and theconducting shell, calculate the resulting values of the net radialcomponents of the electric fields at the following radii:

At r = 2 cm: Er' =

At r = 4.5 cm: Er' =

At r = 10 cm: Er' =

Explanation / Answer

At r = 2 cm: Er =q1/(4or2) =-4.5*107 N/C

At r = 4.5 cm: Er = 0 (inside theconductor)

At r = 10 cm: Er = (q1 +q2)/(4or2) =2.7*106 N/C

c)

At r = 2 cm: Er = 0

At r = 4.5 cm: Er = 0 (inside theconductor)

At r = 10 cm: Er = (q1 +q2)/(4or2) =2.7*106 N/C

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