**Electric Field Intensity near an Infinite Charged Plane Conductor**

To calculate the electric field intensity near an infinite long charged plane conductor, we need to consider the surface charge density of the conductor.

**Surface Charge Density**

Surface charge density (σ) is defined as the amount of charge (Q) per unit area (A) on the surface of the conductor. Mathematically, it can be expressed as:

σ = Q / A

In this case, the surface charge density is given as 0.5 stat coul/cm².

**Electric Field Intensity**

The electric field intensity (E) is a measure of the force experienced by a positive test charge placed in the electric field. It is given by the equation:

E = σ / ε₀

where ε₀ is the permittivity of free space (8.854 x 10⁻¹² stat coul²/cm²).

**Calculating Electric Field Intensity**

Substituting the given surface charge density into the equation, we have:

E = (0.5 stat coul/cm²) / (8.854 x 10⁻¹² stat coul²/cm²)

Simplifying the expression, we get:

E = (0.5 / 8.854) x 10¹² stat coul/cm²

E = 5.65 x 10¹⁰ stat coul/cm²

Therefore, the electric field intensity near the infinite charged plane conductor is 5.65 x 10¹⁰ stat coul/cm².

**Explanation**

An infinite charged plane conductor creates a uniform electric field perpendicular to its surface. The electric field lines are parallel and evenly spaced.

The magnitude of the electric field intensity is directly proportional to the surface charge density. A higher surface charge density will result in a stronger electric field intensity.

In this case, the surface charge density is given as 0.5 stat coul/cm². By substituting this value into the equation for electric field intensity, we can calculate the value of E.

The electric field intensity is independent of the distance from the conductor's surface. It remains constant as long as we are near the conductor. However, it decreases rapidly as we move away from the conductor.

The electric field intensity near an infinite charged plane conductor has various applications, including in electrostatics, capacitance, and the study of conductive materials. It helps us understand the behavior of charges and their interactions in different scenarios.