# Charges, spherical shell, and charge density

Please show all work and show all equations used and diagrams, etc. etc. so I understand completely please.

1) Charge is placed on the surface of a 2.7cm radius isolated conducting sphere. The surface density charge is uniform and has the value 6.9*10^-6C/m^2. The total charge on the sphere is:

2) A spherical shell has an inner radius of 3.7 cm and an outer radius of 4.5cm. If charge is distributed uniformally throughout the shell with a volume density of 6.1*10^-4C/m^3 the total charge is:

3) A cylinder has a radius of 2.1 cm and a length of 8.8cm. Total charge 6.1*10^-7C is distributed uniformally throughout. The volume charge density is:

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#### Solution Preview

1) Charge is placed on the surface of a 2.7cm radius isolated conducting sphere. The surface density charge is uniform and has the value 6.9*10^-6C/m^2. The total charge on the sphere is:

So the question is what is the surface area of the sphere that the charge resides upon - call this A.

Then the total charge is the surface charge density x A(meters^2):

The surface of a sphere has ...

#### Solution Summary

This solution is provided in approximately 313 words. It briefly explains how to find the answer to each question, using conversions and equations.