Electromagnetic Wave We have a plane electromagnetic wave traveling in the +z direction. As you may recall, plane waves have electric and magnetic fields that vary like either sine or cosine, with an argument of (kz - wt). Our goal here will be to write down the equations describing the electric and magnetic fields in this particular wave, and then use those equations to calculate a few quantities. Let's suppose that at z = 0 and t = 0, the magnetic field has its maximum value Bo and points in the y direction. Use that information to decide whether your B -field should vary like sine or like cosine, and write a symbolic vector expression for B. Then write a symbolic vector expression for the E-field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the E -field. Efield Now let's suppose that Bo = 0.0034 T. What is the scalar value of the electric field at t = 0? Note that this could be positive or negative. Efield= Poynting What is the magnitude of the Poynting vector of this wave at t=0? Poynting- Bfield The frequency of this wave is f = 3.160e + 06 Hz. What is the scalar value of the magnetic field at t = 1.48e - 07 s? You can still assume that z = 0. Bfield=

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Electromagnetic Wave
We have a plane electromagnetic wave traveling in the + direction. As you may recall, plane waves have electric and magnetic fields that vary like
either sine or cosine, with an argument of (kz - wt). Our goal here will be to write down the equations describing the electric and magnetic fields in
this particular wave, and then use those equations to calculate a few quantities.
Let's suppose that at z = 0 and t = 0, the magnetic field has its maximum value Bo and points in the y direction. Use that information to decide
whether your B-field should vary like sine or like cosine, and write a symbolic vector expression for B. Then write a symbolic vector expression for the
E-field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the E -field.
Efield
Now let's suppose that Bo = 0.0034 T. What is the scalar value of the electric field at t = 0? Note that this could be positive or negative.
Efield=
Poynting
What is the magnitude of the Poynting vector of this wave at t = 0?
Poynting-
Bfield
The frequency of this wave is f = 3.160e + 06 Hz. What is the scalar value of the magnetic field at t = 1.48e - 07 s? You can still assume
that z = 0.
Bfield=
Transcribed Image Text:Electromagnetic Wave We have a plane electromagnetic wave traveling in the + direction. As you may recall, plane waves have electric and magnetic fields that vary like either sine or cosine, with an argument of (kz - wt). Our goal here will be to write down the equations describing the electric and magnetic fields in this particular wave, and then use those equations to calculate a few quantities. Let's suppose that at z = 0 and t = 0, the magnetic field has its maximum value Bo and points in the y direction. Use that information to decide whether your B-field should vary like sine or like cosine, and write a symbolic vector expression for B. Then write a symbolic vector expression for the E-field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the E -field. Efield Now let's suppose that Bo = 0.0034 T. What is the scalar value of the electric field at t = 0? Note that this could be positive or negative. Efield= Poynting What is the magnitude of the Poynting vector of this wave at t = 0? Poynting- Bfield The frequency of this wave is f = 3.160e + 06 Hz. What is the scalar value of the magnetic field at t = 1.48e - 07 s? You can still assume that z = 0. Bfield=
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