Question
In: Physics
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 |
Solutions
Expert Solution
EM Wave 27 E = 2.84 Sin (8.73x - wt) W/m where the general form of the electrie field of an E = E Sin (Ka-wt) / where K= 27 is the ware Vector. Comparing both & wave function k=8.73 => 2T = 8.73 = 2 = 0.72 7 e = 0.72 where e = 7 L a velocity of - 0.72 light in Vacuum = 3x108 HZ 0.72 » = 4.2 X100 HZ The frequency of the ware is 4.2x103 42 The wavelength of the wave x = 0.72 m How in Vacuum the velocity of electromagnetic have e = E. [Eo ampuitude of electric field 7 Boy amplitude of electrie field >B. - E -9.5x159T im LO 2.84 XOS
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genius_generous answered 2 months 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...
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.
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
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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?
Derive wave equations or the electric field and magnetic field in vacuum. (Refer to Griffiths "Introduction...
Derive wave equations or the electric field and magnetic field
in vacuum.
(Refer to Griffiths "Introduction to electrodynamics" Chapter
9.2.1)
A sinusoidal electromagnetic wave propagates in a vacuum in the positive x-direction. The B⃗ field oscillates in...
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.
f
f
=
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Part B
Find the frequency at which magnetic field energy
oscillates....
A plane electromagnetic wave with magnetic field amplitude 0.02 T is propagating through a vacuum. What...
A plane electromagnetic wave with magnetic field amplitude 0.02
T is propagating through a vacuum.
What is the electric field amplitude?
B) What is the magnitude of the Poynting vector?
C. If the wavelength is 500 nm what is the wave frequency and
the energy of a single photon?
D. How many of these photons must pass through a square meter
each second to yield the power flux calculated in part B?
At a certain location, electromagnetic wave 1 is measured to have an average electric field of...
At a certain location, electromagnetic wave 1 is measured to
have an average electric field of Eav = 152 N/C, and
electromagnetic wave 2 is measured to have an average magnetic
field of Bav = 0.87 µT.
a. (5 points) Calculate the average intensity of each wave.
b. (5 points) If the electromagnetic waves are being measured
0.54 m from their light sources (assume that they are emitting
light uniformly in all directions), what average power is each
source emitting?...
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?
An electromagnatic wave is traveling in vacuum with frequency 6.5 x 1014 Hz. The wave has...
An electromagnatic wave is traveling in vacuum with frequency
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(a) What is the speed of this wave?
(b) What is the wavelength of this wave?
(c) What is the maximum electric field of this wave?
(d) What is the rms magnetic field of this wave?
(e) How much energy does a 2 m2 flat surface
(perpendicular to the wave propagation direction) receive in 8...
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