Answer:
a. E =
b.
Explanation:
The important thing to remember is to use Gauss Law. This is a relation that describes the distribution of electric charge to the resultant electric field.
Linear charge density means charge per unit length of material.
Data:
The metal cylinder is hollow.
The unit length is L.
a.The expression will be as follows:
for charge inside the cylinder, where r < R, the expression is:
E =
b. Let's assume that the cylinder is a coaxial cylinder with a radius r > R, then the electrical field strength is given as:
E =
E =
This gives:
The solution informs us that there is a surface change taking place on the cylinder. Therefore, there will not be a magnetic field across it.