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A spherical cavity with a radius of 4.50 cm is located in the center of a...

A spherical cavity with a radius of 4.50 cm is located in the center of a metallic sphere with a radius of 18 cm. A point charge Q = +5.50 μC is located in the center of the cavity, while the net charge in the metallic conductor is Q '= -4.50 μC.

a) Determine the load on the surface of the conductor around the cavity and on the outer surface of the conductor.

b) Find the magnitude of the electric field at a point 3.00 cm from the center of the cavity.

c) Find the magnitude of the electric field at a point 6.00 cm from the center of the cavity.

d) Find the magnitude of the electric field at a point 30.0 cm from the center of the cavity.

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