Problem: An infinite cylindrical rod has a uniform volume charge density rho (where ρ > 0). The cross section of the rod has radius r0. 1. Find the magnitude of the electric field E at a distance r from the axis of the rod. Assume that r < r02. In which direction is the electric field on the cylindrical gaussian surface?A. perpendicular to the curved wall of the cylindrical Gaussian surface B. tangential to the curved wall of the cylindrical Gaussian surface C. perpendicular to the flat end caps of the cylindrical Gaussian surface D. tangential to the flat end caps of the cylindrical Gaussian surface
FREE Expert Solution
From Gauss law, we know that the magnitude of the electric flux at distance, r < r0 is given by:
1.
Magnetic flux is Φ = EA = E (2πrl)
Q = ρV
Problem Details
An infinite cylindrical rod has a uniform volume charge density rho (where ρ > 0). The cross section of the rod has radius r0.
1. Find the magnitude of the electric field E at a distance r from the axis of the rod. Assume that r < r0
2. In which direction is the electric field on the cylindrical gaussian surface?
A. perpendicular to the curved wall of the cylindrical Gaussian surface
B. tangential to the curved wall of the cylindrical Gaussian surface
C. perpendicular to the flat end caps of the cylindrical Gaussian surface
D. tangential to the flat end caps of the cylindrical Gaussian surface
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Gauss' Law concept. You can view video lessons to learn Gauss' Law. Or if you need more Gauss' Law practice, you can also practice Gauss' Law practice problems.
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Based on our data, we think this problem is relevant for Professor Herndon's class at UW-MADISON.