☰ Contents · Physics

Electromagnetic waves

Lessons 21–22 · 2 lessons · N. Sh. Turdiyev, K. A. Tursunmetov, A. G. Ganiyev, K. T. Suyarov, J. E. Usarov, A. K. Avliyoqulov. Physics Grade 11, 1st edition. Niso Poligraf Publishing House, Tashkent, 2018
22

General properties of electromagnetic waves (reflection and refraction at a boundary). Basic concepts and quantities of a wave

Textbook: pp. 79–82
GoalExplain reflection and refraction of electromagnetic waves, n = c/v = √ε, and the intensity I = W/(S·Δt) with its dependence on distance (I ∝ 1/R², I ∝ ν⁴).
New words
reflection and refraction · qaytish va sinishwavelength · to‘lqin uzunligiwave intensity · to‘lqin intensivligipermittivity · dielektrik singdiruvchanlik
Explanation

An electromagnetic wave obeys the laws of reflection (equal angles) and refraction at the boundary of two media. A metal surface reflects the wave almost completely: the wave makes the free electrons oscillate and they emit a secondary wave; a dielectric reflects little. In a non-magnetic medium the wave speed is v = c/√ε, so the refractive index is n = c/v = √ε (ε is the permittivity). When the wave passes from one medium to another its frequency ν does not change, while the speed and wavelength do: λ = v/ν. Intensity (radiation flux density) is the energy passing through a unit area perpendicular to the direction of propagation in unit time: I = W/(S·Δt), measured in W/m²; I = w·c (w is the energy density). At distance R from a point source I = P/(4πR²), inversely proportional to the square of the distance; also I ∝ ν⁴, which is why low-frequency currents (e.g. 50 Hz mains) hardly radiate, while high-frequency currents radiate strongly.

ααβmedium 2medium 1
Worked examples
A 1 GHz wave in air has λ = 3·10⁸/10⁹ = 0.3 m. In a medium with ε = 4, v = c/√4 = 1.5·10⁸ m/s, n = 2, the frequency is still 1 GHz and λ' = v/ν = 0.15 m.
R, mI510152025300I(R)0.08 W/m²0.02 W/m²
A point source of power 100 W gives I = P/(4πR²) = 100/(4·3.14·100) ≈ 0.08 W/m² at R = 10 m. At R = 20 m the distance has doubled, so I falls 4 times: ≈ 0.02 W/m².
Class activity

Metal sheet, plastic object and radio (testing with the teacher): place a metal plate in the path to a radio's antenna and watch the signal weaken; compare with a plastic sheet and explain reflection and absorption. Do not experiment by putting objects in a microwave oven.

Practice
1
Which quantity does not change when a wave passes from one medium to another?
2
I = w·c with w = 2·10⁻⁸ J/m³. What is the intensity in W/m²? (c = 3·10⁸ m/s)
3
If the distance from the source triples, by what factor does the intensity decrease?
4
What is the refractive index of a medium with ε = 9?
5
Why do household 50 Hz mains wires hardly emit electromagnetic waves?