(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 =

QuestionDetails: A point charge of strength q1 = -2 µC islocated at the center of a thick, conducting spherical shell ofinner radius a = 4 cm and outer radius b = 5 cm.The conducting shell has a net charge of q2 = 5µC.

(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 =

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

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