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Electromagnetic Waves. Chapter 22. Overview. Electromagnetic waves could travel through space Radio TV Cell Phones Prediction – light is an EM wave. Maxwell’s Equations. James Maxwell (1831–1879) Brought fields to the forefront of physics 4 equations that explained all of EM
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Electromagnetic Waves Chapter 22
Overview • Electromagnetic waves could travel through space • Radio • TV • Cell Phones • Prediction – light is an EM wave
Maxwell’s Equations • James Maxwell (1831–1879) • Brought fields to the forefront of physics • 4 equations that explained all of EM • Gauss’s law relates the electric field to the electric charge • The lines of the magnetic fields are always continuous; they don’t begin or end with charges • An electric field is produced by a changing magnetic field (Faraday’s Law) • A magnetic field is produced by a current or changing electric field
Production of EM Waves • A changing electric field produces a magnetic field • Changing magnetic fields produce more changing electric fields • The cycle continues and it propagates through space (EM Wave)
Production of EM Wave Cont. • Two conducting rods connected by a battery • Two rods assume a charge • Create an electric field • Momentary current • Current creates a magnetic field • When the current stops, the magnetic field stops • The electric field remains x x x x E x x x x
Production of EM Wave Cont. x • Replace the battery with an ac source • Direction of current and charges constantly change • Electric and magnetic fields change constantly x + ˜ ˜ - x x x x - + x x
Production of EM Wave Cont. • Magnitude of E and B vary with 1/r • Energy is proportional to E2 and B2 • Intensity of wave is proportional to 1/r2 • E and B are always perpendicular to one another • Transverse waves • Fields – do not require a medium
Production of EM Wave Cont. • Accelerating charges give rise to EM waves • Charges are changing direction • Speed of EM wave • 3E8 m/s = speed of light • Light must be an EM wave
Light as an EM Wave • Hertz (1887) • First to detect EM waves experimentally • Traveled at 3E8 m/s • Showed all characteristics of light: reflection, refraction, and interference • Confirmed Maxwell’s work • Wavelengths • 400 – 750 nm • c = fλ • c = speed of light (3E8 m/s) • f = frequency (Hz) • λ = wavelength (m)
EM Spectrum • Light is only portion of EM spectrum that we can see • Lower end = Radio waves • Higher end = Gamma rays • Some EM waves are produced by accelerating electrons • X-rays: Crash electrons into a metal target • Light bulbs: Energy into filament and accelerating electrons off the surface • Infrared and Ultraviolet • Surround visible spectrum • Infrared: Heat from fire • Ultraviolet: Causes damage to cells
Example • Calculate the wavelength of a 60 Hz EM wave. • Calculate the wavelength of the radio signal FM 93.3 MHz. • Calculate the wavelength of a beam of visible red light from a laser at 4.74E14 Hz.
EM Waves in a Medium • EM waves can be transmitted through wires as well as space • Takes time for the EM wave to be set up • If wire is separated by air, the electrical signal travels along the wire at 3E8 m/s • If wire is separated by another medium, the speed of the electrical signal is determined by the permittivity of free space and the permeability of free space
Example • When you speak on the telephone from LA to a friend in New York (4000 km apart), how long does it take your voice to travel to the receiver?
Measuring the Speed of Light Observer • Galileo • Could not distinguish between human reaction time and speed of light • Roemer • Determined by the period of Jupiter’s moon Io • Period changed depending on whether Earth was approaching or moving away from Jupiter’s orbit • Michelson • Used rotating mirror 8 sided rotating mirror Stationary Mirror Light Source