# Problem: An infinite cylindrical rod has a uniform volume charge density rho (where ρ &gt; 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 &lt; 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:

$\overline{){\mathbf{\varphi }}{\mathbf{=}}\frac{\mathbf{Q}}{{\mathbf{\epsilon }}_{\mathbf{0}}}}$

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