Question

In SI units, the electric field in an electromagnetic wave is described by Ey = 118 sin(1.40 107x − ωt).

(a) Find the amplitude of the corresponding magnetic field oscillations.________ µT

(b) Find the wavelength λ. ___________µm

(c) Find the frequency f. __________Hz

Answer #1

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The electric field of an electromagnetic wave in a vacuum is
Ey= (24V/m)sin((5.28 x 108)x-ωt), where x is
in m and t is in s.
Part A
What is the wave's wavelength?
Express your answer using three significant figures.
λ =__________nm
Part B
What is the wave's frequency?
Express your answer using three significant figures.
f = __________Hz
Part C
What is the wave's magnetic field amplitude?
Express your answer using two significant figures.
B = __________T

The electric field of an electromagnetic wave in a vacuum is
Ey=(18.0 V/m)cos((4.18 ×10^8)x−ωt), where x is in m and t is in
s.
What is the wavelength, frequency, and magnetic field amplitude
of the wave?

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,...

Consider an electromagnetic wave travelling in vacuum, where the
electric field is given by:
?⃗ (? ,?)=40(?/?) sin[(8×106 ???/?) (?+??)+1.57
???]?̂
a) Compute the:
i. frequency
ii. wavelength
iii. period
iv. amplitude
v. phase velocity
vi. direction of motion
b) Write the corresponding expression for the magnetic field of
this travelling wave (don’t forget to include the proper
units).
c) Plot this waveform as a function of x at t=0.

If the electric field in a plane electromagnetic wave is along
the y axis and its component is given
by Em sin(kx + ωt), in SI units, then the magnetic field is along
the z axis and its component
is given by:
A. (Em/c) cos(kx + ωt)
B. −(Em/c) cos(kx + ωt)
C. −(Em/c) sin(kx + ωt)
D. Em cos(kx + ωt)
E. (Em/c) sin(kx + ωt)
how and why b is wrong

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 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

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?

The electric component of a beam of polarized light is
Ey = (5.27 V/m) sin[(1.03 × 106
m-1)z + ωt].
(a) Write an expression for the magnetic field
component of the wave, including a value for ω. What are
the (b)wavelength, (c) period,
and (d) intensity of this light?
(e) Parallel to which axis does the magnetic field
oscillate? (f)In which region of the
electromagnetic spectrum is this wave?

The electric component of a beam of polarized light is Ey =
(5.31 V/m) sin[(1.29 × 106 m-1)z + ωt]. (a) Write an expression for
the magnetic field component of the wave, including a value for ω.
What are the (b) wavelength, (c) period, and (d) intensity of this
light? (e) Parallel to which axis does the magnetic field
oscillate? (f) In which region of the electromagnetic spectrum is
this wave?

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