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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=

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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I don't understand how to really calculate these answers with the given info. how do I solve this?

**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 \( (kz - \omega t) \). 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 \( B_0 \) 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 \( B_0 = 0.0034\, \text{T} \). What is the scalar value of the electric field at \( t = 0 \)? Note that this could be positive or negative. \[ \text{Efield=} \] **Poynting** What is the magnitude of the Poynting vector of this wave at \( t = 0 \)? \[ \text{Poynting=} \] **Bfield** The frequency of this wave is \( f = 3.160e + 06\, \text{Hz} \). What is the scalar value of the magnetic field at \( t = 1.48e - 07\, \text{s} \)? You can still assume that \( z = 0 \). \[ \text{Bfield=} \]
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 \( (kz - \omega t) \). 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 \( B_0 \) 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 \( B_0 = 0.0034\, \text{T} \). What is the scalar value of the electric field at \( t = 0 \)? Note that this could be positive or negative. \[ \text{Efield=} \] **Poynting** What is the magnitude of the Poynting vector of this wave at \( t = 0 \)? \[ \text{Poynting=} \] **Bfield** The frequency of this wave is \( f = 3.160e + 06\, \text{Hz} \). What is the scalar value of the magnetic field at \( t = 1.48e - 07\, \text{s} \)? You can still assume that \( z = 0 \). \[ \text{Bfield=} \]
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