Lecture6 (Chap 6)

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    Electromagnetic Waves

    The Nature of Electromagnetic Waves

    The Energy carried by Electromagnetic Waves

    The Doppler Effect and Electromagnetic Waves

    Polarization

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    24.1The Nature of Electrom agnetic Waves

    Two straight wires connected tothe terminals of an AC generator

    can create an electromagnetic

    wave.

    Only the electric wave traveling to the

    right is shown here.

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    24.1The Nature of Electrom agnetic Waves

    The current used to generate

    the electric wave creates a

    magnetic field.

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    24.1The Nature of Electrom agnetic Waves

    This picture shows the wave of the radiation field far from the

    antenna.

    The speed of an electromagnetic wave in a vacuum is:

    sm1000.3 8c

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    24.1The Nature of Electrom agnetic Waves

    A radio wave can be detected with a receiving antenna wire

    that is parallel to the electric field.

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    24.1The Nature of Electrom agnetic Waves

    With a receiving antenna in the form of a loop, the magnetic

    field of a radio wave can be detected.

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    24.2The Electrom agnet ic Spectrum

    Like all waves, electromagnetic waves have a wavelength andfrequency, related by:

    fc

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    24.2The Electrom agnet ic Spectrum

    Examp le 1The Wavelength of Visible Light

    Find the range in wavelengths for visible light in the frequency rangebetween 4.0x1014Hz and 7.9x1014Hz.

    nm750m105.7Hz104.0

    sm1000.3 7

    14

    8

    f

    c

    nm380m108.3Hz107.9

    sm1000.3 714

    8

    f

    c

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    24.3The Speed of Ligh t

    The speed of l ig ht

    in a vacuum

    sm458792299c

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    24.4The Energy Carr ied by Electrom agnet ic Waves

    Electromagnetic waves, like water waves, carry energy.

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    24.4The Energy Carr ied by Electrom agnet ic Waves

    The total energy d ensity carr ied by an electromagn et ic

    wave

    22

    2

    1

    2

    1

    Volume

    energyTotalBEu

    o

    o

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    24.4The Energy Carr ied by Electrom agnet ic Waves

    cutA

    uctA

    AtA

    PS

    energyTotal

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    24.5The Doppler Effect and Electromagnet ic Waves

    Electromagnetic waves also can exhibit a Dopper effect, but it

    differs for two reasons:

    a) Sound waves require a medium, whereas electromagnetic

    waves do not.

    b) For sound, it is the motion relative to the medium that is important.

    For electromagnetic waves, only the relative motion of the sourceand observer is important.

    cvc

    v

    ff so

    rel

    rel

    if1

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    Exercise

    Police use radar guns and the Doppler effect to catchspeeders. A radar gun emits an electromagnetic wavethat reflects from the oncoming car as shown in thefigure below. The reflected wave returns to the police carwith a frequency (measured by on-board equipment) that

    is different from the emitted frequency. Suppose that apolice car is moving to the right at 25 m/s, while thespeeder is coming up from behind at a speed of 37 m/s,both speeds being with respect to the ground. Assumethat the electromagnetic wave emitted by the radar gun

    has a frequency of 8.0 x 109 Hz. Find the differencebetween the frequency of the wave that returns to thepolice car after reflecting from the speeders car and theoriginal frequency emitted by the police car.

    24 6 P l i t i

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    24.6Polarizat ion

    Linearly polarized wave

    on a rope.

    POLARIZED ELECTROMAGNETIC WAVES

    24 6 P l i t i

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    24.6Polarizat ion

    In polarized light, the electric field

    fluctuates along a single direction.

    24 6 P l i t i

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    24.6Polarizat ion

    Polarized light may be produced from unpolarized light with

    the aid of polarizing material.

    24 6 P l i t i

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    24.6Polarizat ion

    MALUS LAW

    2cosoSS

    intensity before

    analyzerintensity after

    analyzer

    24 6 Polarizat ion

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    24.6Polarizat ion

    Example 7Using Polarizers and Analyzers

    What value of should be used so the average intensity of the polarized

    light reaching the photocell is one-tenth the average intensity of the

    unpolarized light?

    24 6 Polarizat ion

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    24.6Polarizat ion

    2

    2

    1

    10

    1

    cosoo SS

    2

    5

    1 cos

    51

    cos

    4.63

    24 6 Polarizat ion

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    24.6Polarizat ion

    When Polaroid sunglasses are

    crossed, the intensity of the

    transmitted light is reduced to

    zero.

    24 6 Polarizat ion

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    24.6Polarizat ion

    IMAX movie projector

    24 6 Polarizat ion

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    24.6Polarizat ion

    THE OCCURANCE OF POLARIZED LIGHT IN NATURE