Question
In: Physics
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 k and ω? [4]
(iv) If the wave falls perpendicularly on to a perfectly reflecting sheet of area 1.60 m2, at what rate is momentum delivered to the sheet, and what is the radiation pressure on it ?
Solutions
genius_generous answered 2 years agoRelated Solutions
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?
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 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 wave travels along a tight rope in the positive direction of the x-axis. Its wavelength...
A wave travels along a tight rope in the positive direction of
the x-axis. Its wavelength is 40 cm and its velocity of propagation
along the rope is 80 m/s. The amplitude of the wave is 0.60 cm. In
t = 0 the point of the string at x = 0 is at the point of maximum
oscillation amplitude, y = +A.
a)Write the wave equation in the sine form [y = A sin(kx ± ωt + φ)
], identifying...
a plane electromagnetic wave travels in a lossless environment with physical properties ε = ε0, μ...
a plane electromagnetic wave travels in a lossless
environment with physical properties ε = ε0, μ = 4μ0. The electric
field component of this wave is 50 sin (--t - 5x) ay [V / m]. This
wave; the wave will enter a second environment with physical
properties ε = 4ε0, μ = μ0, σ = 0,1 S / m at x = 0 and
perpendicular to the x axis;
(a) reflection coefficient, progress coefficient, standing wave
ratio
(b) electric field...
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?
The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 684 nm, propagating...
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.
1)
What is k, the wavenumber of this wave?
m-1
2)
What is zmax, the distance along the positive z-axis
to the position where the magnitude of the magnetic field is...
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...
The speed of electromagnetic waves Depends on the wavelength in a vacuum Depends on the photon...
The speed of electromagnetic waves
Depends on the wavelength in a vacuum
Depends on the photon energy
Is the same as the speed of sounds
Is the same for all waves regardless of wavelength
2. Vertically polarized light with an intensity of 1000
mW/m2 is coming toward you. After passing through a
polarizing filter that is tilted 45 degrees relative to horizontal,
what is the wave’s intensity?
707 mW/m2
500 mW/m2
333 mW/m2
250 mW/m2
0 mW/m2
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