A conducting sphere of 3.0 cm radius has a cavity of 2.0 cm radius and sharing the same center. First,– 10 nC of charge is dropped on the sphere. Then a + 8.0 nC point charge is introduced at the center of the cavity. a) How much charge is at the inside surface of the sphere, after the point charge was placed at the center? Justify your answer using Gauss’ Law.  b) How much charge is at the outer surface of the sphere, after the point charge was placed at the center? Justify your answer.  c) Calculate and show the direction of the net electric field at 1.0 cm, and at 4.0 cm from the center, after the point charge was placed at the center.

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A conducting sphere of 3.0 cm radius has a cavity of 2.0 cm radius and sharing the same
center. First,– 10 nC of charge is dropped on the sphere. Then a + 8.0 nC point charge is
introduced at the center of the cavity.

a) How much charge is at the inside surface of the sphere, after the point charge was
placed at the center? Justify your answer using Gauss’ Law. 
b) How much charge is at the outer surface of the sphere, after the point charge was
placed at the center? Justify your answer. 
c) Calculate and show the direction of the net electric field at 1.0 cm, and at 4.0 cm
from the center, after the point charge was placed at the center.

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