The magnetic field in a plane monochromatic electromagnetic wavewith wavelength ? = 450 nm, propagating in a vacuum in thez-direction is described by
where B1 = 10.1 X 10-6 T, and i-hat and j-hat are the unit vectorsin the +x and +y directions, respectively.
1)
What is k, the wavenumber of this wave?
m-1
2)
What is zmax, the distance along the positive z-axis to theposition where the magnitude of the magnetic field is a maximum att = 0?
nm
3)
What is Emax, the amplitude of the electric fieldoscillations?
V/m
4)
What is Ey, the y-component of the electric field at (x = 0, y-0, z= zmax) at t = 0?
V/m
6)
What is tmax, the first time after t = 0, when the magnitude of theelectric field at the origin (x = y = z = 0) has its maxiumumvalue?
s
7)
Compare Ex1 and Ex2, the values of the x-component of the electricfield at t = 0. Ex1 is evaluated at (x = 0, y = 0, z = zmax), whileEx2 is evaluated at (x = ? nm, y = ? nm, z = zmax).
Ex1 < Ex2
Ex1 = Ex2
Ex1 > Ex2
The magnetic field in a plane monochromatic electromagnetic wavewith wavelength ? = 450 nm, propagating in a vacuum in thez-direction is described by
where B1 = 10.1 X 10-6 T, and i-hat and j-hat are the unit vectorsin the +x and +y directions, respectively.
1)
What is k, the wavenumber of this wave?
m-1
2)
What is zmax, the distance along the positive z-axis to theposition where the magnitude of the magnetic field is a maximum att = 0?
nm
3)
What is Emax, the amplitude of the electric fieldoscillations?
V/m
4)
What is Ey, the y-component of the electric field at (x = 0, y-0, z= zmax) at t = 0?
V/m
6)
What is tmax, the first time after t = 0, when the magnitude of theelectric field at the origin (x = y = z = 0) has its maxiumumvalue?
s
7)
Compare Ex1 and Ex2, the values of the x-component of the electricfield at t = 0. Ex1 is evaluated at (x = 0, y = 0, z = zmax), whileEx2 is evaluated at (x = ? nm, y = ? nm, z = zmax).
Ex1 < Ex2
Ex1 = Ex2
Ex1 > Ex2
