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:

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.

... Calculate the work done in bringing a charged spherical shell of thickness dr ... 3 kQ 2 in assembling a solid sphere of radius a of uniform charge density. ...

... c) What is the charge density of a uniform infinitesimally thin spherical shell shell of Radius R and total charge Q which is centered at the origin. ...

... of radius a is surrounded by a metal shell of inner ... is 0.85Q/εo and the flux through a spherical Gaussian surface ... What is the total charge on the inner sphere ...

... Please find the solution attached. The solution shows the potential at the center of a spherical shell with non-uniform surface charge density. a). ...

... And outside of the shell the potential is varying and equal that due to ... sum of potential V11 due to due to the whole charge within the sphere of radius ...

... center at the origin and a charge density given by ... Q, let us consider a spherical shell of radius r and thickness dr concentric with the charged sphere. ...