Question

A plane electromagnetic wave varies sinusoidally at 98.2 MHz as
it travels through vacuum along the positive *x* direction.
The peak value of the electric field is 2.10 mV/m, and it is
directed along the positive *y* direction.

(a) Find the wavelength.

m

(b) Find the period.

ns

(c) Find the maximum value of the magnetic field.

pT

(d) Write expressions in SI units for the space and time variations
of the electric field. (*x* is in meters, and *t* in
seconds.)

magnitude | E = ( ) cos
2π( x − t) |

direction | ---Select--- +x −x +y −y +z −z |

Write expressions in SI units for the space and time variations of
the magnetic field. (*x* is in meters, and *t* in
seconds.)

magnitude | B = ( ) cos
2π( x − t) |

direction | ---Select--- +x −x +y −y +z −z |

(e) Find the average power per unit area this wave carries through
space.

W/m^{2}

(f) Find the average energy density in the radiation.

J/m^{3}

(g) What radiation pressure would this wave exert upon a perfectly
reflecting surface at normal incidence?

Pa

Answer #1

A sinusoidal plane electromagnetic wave having a frequency of
3.00 GHz travels in the positive x direction. If the amplitude of
the electric field is 300 V.m-1 and the speed of light in vacuum is
taken as 3.0 x 108 m.s-1, write down wave equation in terms of
E(x,t) and B(x,t), where x is in meters and t is in seconds for the
electric field and the magnetic field.

A plane electromagnetic wave, with wavelength 4.0 m, travels in
vacuum in the positive direction of an x axis. The
electric field, of amplitude 270 V/m, oscillates parallel to the
y axis. What are the (a) frequency,
(b) angular frequency, and (c)
angular wave number of the wave? (d) What is the
amplitude of the magnetic field component? (e)
Parallel to which axis does the magnetic field oscillate?
(f) What is the time-averaged rate of energy flow
associated with this...

A plane electromagnetic wave, with wavelength 2.5 m, travels in
vacuum in the positive direction of an x axis. The electric field,
of amplitude 270 V/m, oscillates parallel to the y axis. What are
the (a) frequency, (b) angular frequency, and (c) angular wave
number of the wave? (d) What is the amplitude of the magnetic field
component? (e) Parallel to which axis does the magnetic field
oscillate? (f) What is the time-averaged rate of energy flow
associated with this...

A plane electromagnetic wave, with wavelength 3.9 m, travels in
vacuum in the positive direction of an x axis. The
electric field, of amplitude 360 V/m, oscillates parallel to the
y axis. What are the (a) frequency,
(b) angular frequency, and (c)
angular wave number of the wave? (d) What is the
amplitude of the magnetic field component? (e)
Parallel to which axis does the magnetic field oscillate?
(f) What is the time-averaged rate of energy flow
associated with this...

A plane electromagnetc sinusoidal wave of frequency 40 MHz
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instant, the electric field E has its maximum
value of 700 N/C and is along the y-axis. (a.) draw an illustration
of the electromagnetic wve in a coordinate system, and determine
the wavelength and period of the wave. (b.) calculate the magnitude
and direction of the magnetic field B when E= 700
N/C in the x-direction. (c) what is...

A plane monochromatic electromagnetic wave with wavelength λ =
4.9 cm, propagates through a vacuum. Its magnetic field is
described by B⃗ =(Bxi^+Byj^)cos(kz+ωt) where Bx = 3.8 X 10-6 T, By
= 3.2 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x
and +y directions, respectively.
1) What is f, the frequency of this wave?
2) What is I, the intensity of this wave?
3) What is Sz, the z-component of the Poynting vector at...

A plane monochromatic electromagnetic wave with wavelength λ =
3.2 cm, propagates through a vacuum. Its magnetic field is
described by
B⃗ =(Bxi^+Byj^)cos(kz+ωt)B→=(Bxi^+Byj^)cos(kz+ωt)
where Bx = 3.6 X 10-6 T,
By = 4.4 X 10-6 T, and i-hat and
j-hat are the unit vectors in the +x and +y directions,
respectively.
1)What is f, the frequency of this wave?
2)What is I, the intensity of this wave?
3)What is Sz, the z-component of the Poynting vector
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A EM wave in vacuum travels in the +x direction. At a moment in
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Consider a source consisting of an infinite sheet lying in the
xy-plane in free space. A uniformly distributed current Js(t) flows
on this infinite plane sheet.
(a) The source generates sinusoidally time-varying uniform plane
waves propagating in the ±z-direction in free space. Consider the
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t = 0 having an x-component equal to -2E0 and a y-component equal...

Problem 1
An electromagnetic wave propagates along the +y direction. If
the electric field at the origin is along the +z direction, what is
the direction of the magnetic field
2
If an electromagnetic wave has components Ey = E0 sin(kx - ?t)
and Bz = B0 sin(kx - ?t), in what direction is it traveling?

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