Question

A plane monochromatic electromagnetic wave with wavelength λ = 4.9 cm, propagates through a vacuum. Its magnetic field is described by B⃗ =(Bxi^+Byj^)cos(kz+ωt) where Bx = 3.8 X 10-6 T, By = 3.2 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.

1) What is f, the frequency of this wave?

2) What is I, the intensity of this wave?

3) What is Sz, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0?

4) What is Ex, the x-component of the electric field at (x = 0, y = 0, z = 0) at t = 0?

Answer #1

A plane monochromatic electromagnetic wave with wavelength λ =
3.2 cm, propagates through a vacuum. Its magnetic field is
described by
B⃗ =(Bxi^+Byj^)cos(kz+ωt)B→=(Bxi^+Byj^)cos(kz+ωt)
where Bx = 3.6 X 10-6 T,
By = 4.4 X 10-6 T, and i-hat and
j-hat are the unit vectors in the +x and +y directions,
respectively.
1)What is f, the frequency of this wave?
2)What is I, the intensity of this wave?
3)What is Sz, the z-component of the Poynting vector
at (x = 0,...

A plane monochromatic electromagnetic wave with wavelength λ =
5.8 cm, propagates through a vacuum. Its magnetic field is
described by
ωωωωωωB→=(Bxi^+Byj^)cos(kz+ωt)
where Bx = 1.6 X 10-6 T,
By = 4.3 X 10-6 T, and i-hat and
j-hat are the unit vectors in the +x and +y directions,
respectively.
f = 5.17GHz
I = 2512.6 W/m^2
3)
What is Sz, the z-component of the Poynting vector at
(x = 0, y = 0, z = 0) at t =...

The magnetic field in a plane monochromatic electromagnetic wave
with wavelength λ = 684 nm, propagating in a vacuum in the
z-direction is described by
B⃗ =(B1sin(kz−ωt))(i^+j^)B→=(B1sin(kz−ωt))(i^+j^)
where B1 = 5.3 X 10-6 T, and
i-hat and j-hat are the unit vectors in the +x and +y directions,
respectively.
5)
Which of the following equations describes the spatial and time
dependence of the electric field oscillations?
6)
What is tmax, the first time after t = 0, when the
magnitude...

Deadline:
100% until Sunday, April 22 at 11:59 PM
Electromagnetic Waves 2
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A plane monochromatic electromagnetic wave with wavelength ? =
2.1 cm, propagates through a vacuum. Its magnetic field is
described by
B? =(Bxi^+Byj^)cos(kz+?t)B?=(Bxi^+Byj^)cos?(kz+?t)
where Bx = 2 X 10-6 T,
By = 4.9 X 10-6 T, and i-hat and
j-hat are the unit vectors in the +x and +y directions,
respectively.
1)
What is f, the frequency of this wave?GHz
You currently...

A sinusoidal plane electromagnetic wave propagates in
the space in the + y direction. If the direction and amplitude (9V
/ m) of the electrical component of this wave is i, what is the
magnetic direction and amplitude? Emergency please!!

A plane electromagnetic wave with linear polarization of frequency 450 THz (450 × 10¹² Hz) propagates in a vacuum along the positive X axis. The amplitude of the electromagnetic wave is ‖?⃗ ‖ = 500 V / m. At x = 0 and at time t = 0 we have: ?⃗ (? = 0, ? = 0) = [0; 150√2; 200√2] ? / ?; 0 <? <?/2
In this context, determine:
(a) The general form of the function of the...

A plane wave of wavelength 100 nm is polarized along z direction
and travelling along -x direction with the electric field amplitude
of 300 V/m (in vacuum). The maximum value of wave is at t=0 and
x=0. Write the wave equation of magnetic field Calculate the
intensity and Poynting vector of electromagnetic wave.

A plane electromagnetic wave traveling in the positive direction
of an x axis in vacuum has components Ex = Ey = 0 and Ez = (4.5
V/m) cos[(π × 1015 s-1)(t - x/c)].(a) What is the amplitude of the
magnetic field component?

Problem 1
An electromagnetic wave propagates along the +y direction. If
the electric field at the origin is along the +z direction, what is
the direction of the magnetic field
2
If an electromagnetic wave has components Ey = E0 sin(kx - ?t)
and Bz = B0 sin(kx - ?t), in what direction is it traveling?

A plane electromagnetic wave varies sinusoidally at 98.2 MHz as
it travels through vacuum along the positive x direction.
The peak value of the electric field is 2.10 mV/m, and it is
directed along the positive y direction.
(a) Find the wavelength.
m
(b) Find the period.
ns
(c) Find the maximum value of the magnetic field.
pT
(d) Write expressions in SI units for the space and time variations
of the electric field. (x is in meters, and t...

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