# total charge and surface charge density

A metal sphere of radius a is surrounded by a metal shell of inner radius b and outer radius R, as shown in the diagram below. The flux through a spherical Gaussian surface located between a and b is 0.85Q/Eplison_o and the flux through a spherical Gaussian surface just outside R is 1.15Q/Eplison_o.

What is the total charge on the inner sphere? (Express your answer as a multiple of Q. For example, if the total charge is 0.2Q, then input 0.2).

What is the surface charge density of the inner sphere? (Express your answer as a multiple of Q/a2.)

What is the total charge on the inner surface of the outer sphere? (Express your answer as a multiple of Q.)

What is the surface charge density of the inner surface of the outer sphere? (Express your answer as a multiple of Q/b2.)

What is the surface charge density of the outer surface of the outer sphere? (Express your answer as a multiple of Q/R2.)

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#### Solution Summary

It shows how to determine total charge and surface charge density given the flux. The solution is detailed and was rated '5/5' by the student who posted the questions originally.