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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.

... 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 ...

... on (b) sphere 1 and (c) sphere 2? (d) What is the ratio p1/p2 of the surface charge densities of the spheres? 1. A thin, spherical, conducting shell of radius ...

...Charge density ρ(r) = ρ0 (1 - 4r/3R) r < R = 0 r > R. a) Let us consider a spherical shell of radius r and thickness dr co-centric with the spherical charge...

... The shell is to have positive charge on its outside surface ... 9. A nonconducting sphere has radius R = 2.31 cm and uniformly distributed charge q = + 3.50 fC ...

... A<R<B it's easier: Again choose a sphere of radius ... E*(4*pi*R^2) and the total charge enclosed is ... straighforward: For R>C, assuming the conducting shell has no ...

...Charge density on the surface = σ = e/4ΠR2. ... Suppose that an electron is a small spherical shell of mass m with a charge e spread over its surface. ...

... magnetic field at the center of the sphere (point P ... Figure shows the hemispherical uniformly charged shell. Let the surface charge density on the shell be σ C ...