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Intensity of EM wave

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Average power per area.

Key relationI = ½ε₀cE₀²

I = ½ε₀cE₀² = cB₀²/2μ₀. It decreases as 1/r² from a point source.

Worked example

E₀ = 100 V/m: 13 W/m².

Common mistake

Intensity ∝ amplitude squared.

In more detail

The intensity of an electromagnetic wave is the average Poynting vector magnitude, I = ½ c ε0 E0². It determines how much power a given area receives from the wave.

Real-world uses

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Frequently asked questions

How is intensity related to amplitude?

Intensity is proportional to the square of the electric field amplitude.

What is the solar constant?

About 1361 W/m² at the top of Earth's atmosphere.

How is intensity related to amplitude?

Intensity is proportional to the square of the electric field amplitude, so doubling the field gives four times the intensity.

Related topics in AC Circuits & EM Waves

Relation between E and B · Energy of EM waves · Poynting vector · Radiation pressure · EM spectrum · Radio waves

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