A thin straight infinitely long conducting wire having charge density `lambda` enclosed bya cylindrical surface of radius rand length `l_(r)`, its axis coinciding with the length of the wire. Find the expression for the electric flux through the surface of the cylinder.

Explanation

To find the expression for the electric flux through the surface of a cylindrical surface surrounding an infinitely long conducting wire with a linear charge density \( \lambda \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Charge Enclosed**:
The charge enclosed by the cylindrical surface can be calculated using the linear charge density \( \lambda \) and the length \( L \) of the cylinder. The total charge \( Q \) enclosed is given by:
\[
Q = \lambda \cdot L
...