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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−ωt). 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 B0 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. The frequency of this wave is f=2.090e+06 Hz. What is the scalar value of the magnetic field at t=1.59e−07 s? You can still assume that z=0. What is the B-Field?

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−ωt). 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 B0 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. The frequency of this wave is f=2.090e+06 Hz. What is the scalar value of the magnetic field at t=1.59e−07 s? You can still assume that z=0. What is the B-Field?

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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−ωt). 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 B0 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.

The frequency of this wave is f=2.090e+06 Hz. What is the scalar value of the magnetic field at t=1.59e−07 s? You can still assume that z=0. What is the B-Field? 

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 B₁ 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 Efield -1.47E6 V/m Poynting = Bfield 0.0049 T. What is the scalar value of the electric field at t = 0? Note that this could be positive or negative. What is the magnitude of the Poynting vector of this wave at t = 0? Poynting- 5.732E9 W/m^2 The frequency of this wave is f = 2.090e + 06 Hz. What is the scalar value of the magnetic field at t = 1.59e - 07 s? You can still assume that = 0. 2 = Bfield=
Transcribed Image Text: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 B₁ 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 Efield -1.47E6 V/m Poynting = Bfield 0.0049 T. What is the scalar value of the electric field at t = 0? Note that this could be positive or negative. What is the magnitude of the Poynting vector of this wave at t = 0? Poynting- 5.732E9 W/m^2 The frequency of this wave is f = 2.090e + 06 Hz. What is the scalar value of the magnetic field at t = 1.59e - 07 s? You can still assume that = 0. 2 = Bfield=
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