Electric Intensity of a Uniformly Charged Infinite Cylinder
Electric intensity is the electric field strength at a given point due to a charged object. In the case of a uniformly charged infinite cylinder, the electric intensity at a distance d from the axis varies in a specific manner.

Variation of Electric Intensity with Distance
- The electric intensity at a distance d from the axis of a uniformly charged infinite cylinder varies as 1/d.
- This means that as the distance from the axis increases, the electric intensity decreases inversely proportional to the distance.
- Mathematically, the relationship can be expressed as E ∝ 1/d, where E is the electric intensity and d is the distance from the axis.

Explanation
- When considering a uniformly charged infinite cylinder, the electric field lines are radial and directed outward from the axis of the cylinder.
- As we move away from the axis, the number of field lines passing through a unit area decreases, leading to a decrease in the electric intensity.
- This decrease follows an inverse relationship with the distance because the electric field spreads out in three dimensions from the charged object.
- The electric intensity is highest closest to the axis of the cylinder and decreases as we move further away from it, following the 1/d relationship.

Conclusion
Understanding the variation of electric intensity with distance from a uniformly charged infinite cylinder is crucial in analyzing the electric field strength in different regions around the cylinder. This knowledge helps in predicting the behavior of charged objects and their interactions with other charged particles in the surrounding space.