Problem Set 34.7-8

# Problem Set 34.7-8 - mPROBLEM SET 34.7-8 “Traveling...

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Unformatted text preview: mPROBLEM SET 34.7-8 “Traveling Electromagnetic Wave” Light, radiant heat (infrared radiation), X-rays, and radio waves are all examples of traveling electromagnetic waves. Electromagnetic waves comprise combinations of electric and magnetic fields that are mutually compatible in the sense that the changes in one generate the other. The simplest form of a traveling electromagnetic wave is a plane wave. For a wave traveling in the x-direction whose electric field is in the y-direction, the electric and magnetic fields are given by r E = E sin kx- ϖ t ( 29 ˆ y , r B = B sin kx- ϖ t ( 29 ˆ z . This wave is linearly polarized in the y-direction. In these formulas, it is useful to understand which variables are parameters that specify the nature of the wave. The variables E and B are the amplitudes of the electric and magnetic fields. The variable ϖ is called the angular frequency of the wave. The variable k is called the wave number of the wave. What is the mathematical expression for the electric field at the point x =0, y =0, z at time t ? Using the expressions given above, we get r E = E sin- ϖ t ( 29 ˆ y = - E sin ϖ t ( 29 ˆ y . For a given wave, what are the physical variables to which the wave responds? In this example, the variables which we use to determine the values of the fields that make up the wave are the location x and the time t . In a more general case, all three coordinates ( x, y, z ) would be needed. What is the wavelength λ of the wave described in the problem introduction? The wavelength is related to the wavenumber: λ = 2π/ k . What is the period T of the wave described in the problem introduction?...
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Problem Set 34.7-8 - mPROBLEM SET 34.7-8 “Traveling...

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