Question

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?

Answer #1

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 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?

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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 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

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.

An electromagnetic wave is given in SI units by
E(x, t) = 3.95 sin(0.46x − ωt) V/m.
(Use the exact values you enter to make later calculations.)
(a) What is the angular frequency?
rad/s
(b) What is the magnetic field at
x = 2.0 m
and
t = 3.0 s?
T

The electric field of a sinusoidal electromagnetic wave obeys
the equation
E=−(350V/m)sin[(5.89×1015rad/s)t+(1.96×107rad/m)x]E=−(350V/m)sin[(5.89×1015rad/s)t+(1.96×107rad/m)x].
a)what is the amplitude of the electric field of this wave?
b)what is the amplitude of the magnetic field of this wave?
c) what is the frequency of the wave?
d)what is the wavelength of the wave?
e) what is the period of the wave?
f) speed of the wave?

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)?

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

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,...

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