A thin straight infinitely long conducting wire having charge density `lambda` enclosed bya cylindrical surface of radius r and 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 electric flux through the surface of a cylindrical surface surrounding an infinitely long conducting wire with charge density \( \lambda \), we can follow these steps:

### Step 1: Understand the Geometry
We have a thin straight infinitely long conducting wire with a linear charge density \( \lambda \). The cylindrical surface has a radius \( r \) and a length \( l \) that coincides with the wire's length.

**Hint:** Visualize the setup with the wire at the center of the cylinder.

### Step 2: Calculate the Charge Enclosed
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