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​Two concentric spheres are shown in the figure below.

Two concentric spheres are shown in the figure below. The inner sphere is a solid conductor and carries a charge of +5.00 μC uniformly distributed over its outer surface. The outer sphere is a conducting shell that carries a net charge of -8.00 μC. No other charges are present. The radii shown in the figure have the values R1 = 10.0cm, R2 = 20.0cm, and R3 = 30.0 cm. 

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(a) (10 points) Find the total excess charge on the inner and outer surfaces of the outer conducting sphere. 

(b) Find the magnitude and direction of the electric field at the following distances r from the center of the inner sphere: 

i. (4 pts) r = 9.5 cm 

ii. (4 pts) r = 15.0 cm 

iii. (4 pts) r = 27.0 cm 

iv. (4 pts) r = 35.0 cm

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