Physics 201- Introduction to Electricity & Magnetism
September 29- Applying Gauss' Law

Looking back at Electric Flux

In the following questions, a Gaussian cylinder with radius a and length l is placed in various electric fields.  The end caps are labeled A and C and the side surface is labeled B.  In each case, base your answers about the net flux on qualitative arguments about the magnitude of the flux.

a) The Gaussian cylinder is in a uniform electric field of magnitude E which is aligned with the cylinderís axis.

• Find the sign and magnitude of the flux through surface A, surface B, and surface C.
• Is the net flux through the entire Gaussian surface positive, negative or zero?

b) The Gaussian cylinder encloses a negative charge. (The field from the previous part has been removed.)

• Find the sign of the flux through surface A, surface B, and surface C.
• Is the net flux through the entire Gaussian surface positive, negative or zero?

c) The Gaussian cylinder encloses opposite charges of equal magnitude. (The charges are on the axis of the cylinder and equidistant from the center.)

• Find the sign of the flux through surface A, surface B, and surface C.
• Is the net flux through the entire Gaussian surface positive, negative or zero?

d) A positive charge is located above the Gaussian cylinder.

• Find the sign of the flux through surface A, surface B, and surface C.
• Is the net flux through the entire Gaussian surface positive, negative or zero?

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 Jeff Phillips phillips@lmu.edu Loyola Marymount University Fall 2002