Number 5 until 7 5.) lambda(y) 6.) refractive index medium (n1=) 7.)intrinsic wave impedance (n)
Number 5 until 7 5.) lambda(y) 6.) refractive index medium (n1=) 7.)intrinsic wave impedance (n)
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Number 5 until 7
5.) lambda(y)
6.) refractive index medium (n1=)
7.)intrinsic wave impedance (n)
![Problem 3
The electric field intensity of a time-harmonic plane electromagnetic wave is given by
Ē(x, y, z, t) = a 126× sin[10°t - 6y + 8z - 0.2] Volt/m, where all the variables are
in MKSA units. This wave propagates in a simple, nonmagnetic, lossless medium.
Find numerically, including units if applicable, for
(1) the unit vector pointing to the wavefront propagation direction,
(Indicate the direction of the vector by plotting it in the y-z plane)
(2) the wavelength along the wavefront normal direction,
(3) the wavefront velocity or the phase velocity of the electromagnetic wave in
the wavefront propagation direction,
(4) the phase velocity in the z direction,
(5) the wavelength in the y direction,
(6) the refractive index of the medium,
(7) the intrinsic wave impedance,
(8) the magnetic field intensity vector H(x,y,z,t), and
(9) the time-average intensity (power per unit area) of the wave.
1
36л
Hint: the vacuum permittivity is &
=
permeability is = 4×107 H/m.
109 F/m and the vacuum](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F463d379b-4d7c-4041-b0ec-7b676d1223ee%2Ffad4c05d-fcb0-42db-95d8-0caa69f27c04%2Fq1qj2w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 3
The electric field intensity of a time-harmonic plane electromagnetic wave is given by
Ē(x, y, z, t) = a 126× sin[10°t - 6y + 8z - 0.2] Volt/m, where all the variables are
in MKSA units. This wave propagates in a simple, nonmagnetic, lossless medium.
Find numerically, including units if applicable, for
(1) the unit vector pointing to the wavefront propagation direction,
(Indicate the direction of the vector by plotting it in the y-z plane)
(2) the wavelength along the wavefront normal direction,
(3) the wavefront velocity or the phase velocity of the electromagnetic wave in
the wavefront propagation direction,
(4) the phase velocity in the z direction,
(5) the wavelength in the y direction,
(6) the refractive index of the medium,
(7) the intrinsic wave impedance,
(8) the magnetic field intensity vector H(x,y,z,t), and
(9) the time-average intensity (power per unit area) of the wave.
1
36л
Hint: the vacuum permittivity is &
=
permeability is = 4×107 H/m.
109 F/m and the vacuum
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