Explore BrainMass

Electrical Field on a Gaussian Surface

The electrical field in a particular space is E = (X + 1.2)1 N/C with x in meters. Consider a cylindrical Gaussian surface of radius 16 cm that is coaxial with the x axis. One end of the cylinder is at x = 0. (a) What is the magnitude of the electric flux through the other end of the cylinder at x = 3.2 m? (b) What net charge is enclosed within the cylinder?

Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is attached below in two formats. One is in Word XP Format, while the other is in Adobe pdf format. Therefore, you can choose the format that is most suitable to you.

The flux through any surface is given by the integral:

Where E is the electric field and da is a unit normal vector to the surface.

Using the dot product property:

Where  is the angle between the vectors A and B

Therefore ...

Solution Summary

This solution contains over 200 words and calculations to determine the magnitude of the electric flux and net change exists in the cylinder. The net charge enclosed within the cylinder is determined.