Question

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 *B*_{1} = 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 t_{max}, the first time after t = 0, when the
magnitude of the electric field at the origin (x = y = z = 0) has
its maxiumum value?

s

7)

Compare E_{x1} and E_{x2}, the values of the
x-component of the electric field at t = 0. E_{x1} is
evaluated at (x = 0, y = 0, z = z_{max}), while
E_{x2} is evaluated at (x = λ nm, y = λ nm, z =
z_{max}).

E_{x1} < E_{x2}

E_{x1} = E_{x2}

E_{x1} > E_{x2}

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 =
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...

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 =...

a plane electromagnetic sinusoidal wave propagating in the x
direction. Suppose the wavelength is 48.0 m and the electric field
vibrates in the xy plane with an amplitude of 20.0 V/m.
(a) Calculate the frequency of the wave.__________ MHz
(b) Calculate the magnetic field B when the electric field has
its maximum value in the negative y direction. magnitude
__________nT
(c) Write an expression for B with the correct unit vector, with
numerical values for Bmax, k, and ω,
and...

Consider a sinusoidal electromagnetic wave propagating in the +x
direction, whose electric field is parallel to the y axis. The wave
has wavelength 475 nm, and the electric field has amplitude 3.20 x
10^-3 V m-1. What is the frequency of the wave? What is the
amplitude of the magnetic field? What are the vector equations for
E(x,t) and B(x,t)?

Microwaves in a home microwave oven can be modeled as a linearly
polarized plane wave in vacuum with a magnetic field given
by B⃗ =B0sin(ky+ωt)x^B→=B0sin(ky+ωt)x^. Here, B0=B0=
0.22 mT and ω=ω= 2 ×1010×1010 rad/sec.
1)
What is the wavelength?
λ=λ= 9.42 cm
λ=λ= 1.88 × 1017 cm
λ=λ= 1.5 cm
2)
The associated electric field is given by:
E⃗ =−B0csin(ky+ωt)z^E→=−B0csin(ky+ωt)z^
E⃗ =−B0csin(ky−ωt)z^E→=−B0csin(ky−ωt)z^
E⃗ =−B0csin(ky+ωt)y^E→=−B0csin(ky+ωt)y^
E⃗ =B0csin(ky−ωt)y^E→=B0csin(ky−ωt)y^
E⃗ =B0csin(ky+ωt)z^E→=B0csin(ky+ωt)z^
3)
A round dinner plate of radius r = 8 cm is placed in...

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.

The magnetic field of an electromagnetic wave in a vacuum is Bz
=(3.8μT)sin((1.15×10^7)x−ωt), where x is in m and t is in s
What is the wavelength, frequency, and electric field amplitude
of the wave?

Deadline:
100% until Sunday, April 22 at 11:59 PM
Electromagnetic Waves 2
1
2
3
4
1
6
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...

The magnetic field of an electromagnetic wave in a vacuum is Bz
=(2.6μT)sin((8.50×106)x−ωt)=(2.6μT)sin((8.50×106)x−ωt), where xx is
in mm and t is in s.
What is the wave's wavelength?
What is the wave's frequency?
What is the wave's electric field amplitude?

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