Definition of Intensity of Radiation

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SUMMARY

The intensity of radiation is defined as the power per unit area perpendicular to the radiation, expressed in watts per square meter (W/m²). It is a vector quantity that is parallel to the direction of radiation. The relationship between intensity, energy density, and velocity is established through the equation: Intensity = Energy Density × Velocity. For a surface perpendicular to the radiation, the intensity can be calculated using the formula I = P/area, where P represents power.

PREREQUISITES
  • Understanding of vector quantities in physics
  • Familiarity with the concept of power in terms of energy per time
  • Knowledge of energy density and its measurement
  • Basic grasp of calculus for integrating over surfaces
NEXT STEPS
  • Study the principles of energy density in physics
  • Learn about the applications of the intensity of radiation in various fields
  • Explore the mathematical derivation of intensity equations
  • Investigate the relationship between intensity and other electromagnetic properties
USEFUL FOR

Physicists, engineers, and students studying electromagnetic theory or radiation physics will benefit from this discussion, particularly those focusing on the quantitative analysis of radiation intensity.

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Definition/Summary

Intensity of radiation = power per area perpendicular to the radiation. It is a vector, parallel to the radiation.

Intensity of radiation = energy density times velocity (therefore sometimes called energy flux).

It is measured in watts per square metre (Wm^{-2})

Equations

For a surface perpendicular to the radiation:

I\ =\ P/area

For a general surface, with normal \hat{\mathbf{n}}:

P\ =\ \int_S \mathbf{I}\cdot\hat{\mathbf{n}}\,dS

Extended explanation

Power per area = energy density times velocity:

Power = energy per time (measured in W\ =\ Js^{-1}).

Power per area = energy per area per time = energy density (ie, per volume) times velocity.

So intensity = power per area = energy density times velocity.

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Thanks for the explanation on intensity. That makes it much clearer.
 

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