Question

The magnetic field is given by By = Bo sin(kz - ωt). If the electromagnetic wave with a wavelength of 650nm is traveling in the z direction, and the maximum magnetic field is 8mT

a. What is the Electric Field? (show trigonometric form)

b. What is the maximum Electric Field

c. What is the wave number?

d. What is the frequency?

e. Write out the Poynting vector and calculate the magnitude

Answer #1

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?

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?

An electric field traveling through vacuum can be described as a
plane wave E(r,t) = Eoexp[-i(ωt + k•z)]. (a) What is the angular
frequency, wavelength, wave number, velocity, direction of
propagation, and electric and magnetic field amplitude of this
light wave? (b) Write equations describing the electric and
magnetic fields in sinusoidal form, with all known quantities
expressed numerically. (c) Write equivalent equations in complex
exponential form. (d) What would be the maximum electric and
magnetic forces exerted by this...

If the magnetic field of an electromagnetic wave is in the
+-direction and the electric field of the wave is in the
+-direction, the wave is traveling in the
-x-direction.
-y-direction.
+z-direction.
xy-plane.
-z-direction.

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,...

The electric field for a sinusoidal electromagnetic wave is
E = E0
sin(ky+wt) i
with E0 =40 V/m and k = 1.40E+8
m-1.
Select the direction of propagation for this wave.
Find the wave number of the wave.
Find the wavelength of the wave.
Find the period of the wave.
Find the frequency of the wave.
Find the angular frequency of the wave.
Find the speed of the wave.
Find the amplitude of the magnetic field.
For sinusoidal electromagnetic waves,...

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...

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 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...

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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 13 minutes ago

asked 34 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago