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A uniformly charged insulating sphere (R1 = 3.0 cm) is charged to QI = 50 nC....

A uniformly charged insulating sphere (R1 = 3.0 cm) is charged to QI = 50 nC. It is concentric within a charged conducting shell (inner radius R2 = 5.0 cm, outer radius R3 = 5.2 cm) that is charged to QC = 200 nC. The insulating sphere is not connected to the conducting shell, and the conductors are separated by air. (Note: The figure is not to scale.)

In which region(s) is the electric field zero, if any?

(b) Find the charge (magnitude and sign) induced on the inner surface of the conducting shell.

(c) Find the charge (magnitude and sign) induced on the outer surface of the conducting shell.

(d) Calculate the volume charge density, , of the insulating sphere.

(e) Calculate the electric field r = 6.0 cm.

(f) Calculate the electric field at r = 4.0 cm

(g) Calculate the electric field r = 2.0 cm.

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