Question
In: Physics
A sinusoidal electromagnetic wave propagates in a vacuum in the positive x-direction. The B⃗ field oscillates in...
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A sinusoidal electromagnetic wave propagates in a vacuum in the positive x-direction. The B⃗ field oscillates in the z-direction. The wavelength of the wave is 30 nm and the amplitude of the B⃗ field oscillations is 1.0×10−2 T. |
Part A Find the frequency with which the electric energy in the wave oscillates. Express your answer with the appropriate units.
SubmitPrevious AnswersRequest Answer Incorrect; Try Again; 4 attempts remaining Part B Find the frequency at which magnetic field energy oscillates. Express your answer with the appropriate units.
SubmitRequest Answer Part C Find the maximum energy density. Express your answer with the appropriate units.
SubmitRequest Answer Part D Find the minimal energy density. Express your answer with the appropriate units.
SubmitRequest Answer Part E Find the average energy density. Express your answer with the appropriate units.
SubmitRequest Answer Part F Find the intensity of the wave. Express your answer with the appropriate units.
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Solutions
genius_generous answered 1 year agoRelated Solutions
The electric field of an electromagnetic wave that propagates in a vacuum is given by: ?⃗...
The electric field of an electromagnetic wave that propagates in
a vacuum is given by: ?⃗ (?, ?) = 2 cos (α? - ω?) ? + 2 sin (α? -
ω?) ?, ?? (?/?); ???? α ? ω ??? ??????????
a) What is the amplitude E0 of the electric field, its angular
frequency, period, frequency f, wave number | ?⃗ |, wavelength, its
speed u and its phase constant φ?
b) I) Determine the electric field in the x-y plane...
A sinusoidal electromagnetic wave is propagating in a vacuum in the +z-direction. Part A If at...
A sinusoidal electromagnetic wave is propagating in a vacuum in
the +z-direction.
Part A
If at a particular instant and at a certain point in space the
electric field is in the +x-direction and has a magnitude
of 3.40V/m , what is the magnitude of the magnetic field of the
wave at this same point in space and instant in time?
Part B
What is the direction of the magnetic field?
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has...
A plane electromagnetic wave traveling in the positive direction
of an x axis in vacuum has components Ex = Ey = 0 and Ez = (3.1
V/m) cos[(? × 1015 s-1)(t - x/c)].(a) What is the amplitude of the
magnetic field component? (b) Parallel to which axis does the
magnetic field oscillate? (c) When the electric field component is
in the positive direction of the z axis at a certain point P, what
is the direction of the magnetic field...
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has...
A plane electromagnetic wave traveling in the positive direction
of an x axis in vacuum has components Ex =Ey =0 and Ez
=(2V/m)cos(3.14∗10^−15s^−1(t− x/c)). (a) What is the amplitude of
the magnetic field component? (b) Parallel to which axis does the
magnetic field oscillate? (c) When the electric field component is
in the positive direction of the z axis at a certain point P, what
is the direction of the magnetic field component there?
The magnetic field of a uniform plane wave that propagates in a vacuum, is given by...
The magnetic field of a uniform plane wave that propagates in a
vacuum, is given by the expression:
B (r, t) = (10^−6 )[xˆ + 2yˆ + Bzzˆ] cos [ωt + 3x - y - z] in
m.k.s.units and where xˆ, yˆ, zˆ are unit vectors along the
cartesians axes . Find:
(a) The propagation direction.
(b) The wavelength λ.
(c) The angular frequency ω.
(d) The associated electrical field
A plane electromagnetic wave of wavelength 2.00 m travels in vacuum in the negative x-direction with...
A plane electromagnetic wave of wavelength 2.00 m travels in
vacuum in the negative x-direction with its magnetic field
vector B, of amplitude 1.20 μT, directed along the
positive y-axis.
(i) What is the frequency, f, of the wave?
[2]
(ii) What are the direction and the amplitude,
Eo, of the electric field vector
E associated with the wave ? [4]
(iii) If B
= Bocos ( kx
+ ωt ) in SI units , what are the values of...
Write an equation for the magnetic field of an electromagnetic wave traveling in vacuum if the...
Write an equation for the magnetic field of an electromagnetic
wave traveling in vacuum if the amplitude is 0.0028 T and the
frequency is 2.0 × 108 Hz. Find the magnetic field when
x = 32 cm and t = 6.8 ns.
The components of the electric field in an electromagnetic wave traveling in vacuum are described by...
The components of the electric field in an electromagnetic wave
traveling in vacuum are described by
Ex = 0, Ey = 0, and
Ez = 2.84 sin(8.73x - ωt) V/m, where x is measured in
meters and t in seconds. Calculate the frequency of the wave.
Tries 0/99
Calculate the wavelength of the wave.
Tries 0/99
Calculate the amplitude of the magnetic field of the wave.
Tries 0/99
Calculate the intensity of the wave.
Tries 0/99
A sinusoidal electromagnetic wave of frequency 6.10
A sinusoidal electromagnetic wave of frequency 6.10
A sinusoidal sound wave moves at 336 m/s through a gas in the positive direction of...
A sinusoidal sound wave moves at 336 m/s through a gas in the
positive direction of an x axis. At one instant, gas
molecule A is at its maximum displacement in the negative direction
of the axis while molecule B is at its equilibrium position. The
separation between those molecules is 17.4 cm, and the molecules
between A and B have intermediate displacements in the negative
direction of the axis. (a) What is the minimum
frequency of the sound wave?...
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