Question

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 wave? The wave uniformly illuminates a surface
of area 2.4 m^{2}. If the surface totally absorbs the wave,
what are **(g)** the rate at which momentum is
transferred to the surface and **(h)** the radiation
pressure?

Answer #1

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 sinusoidal electromagnetic plane wave is traveling in the +y
direction under water, with an index of refraction n = 1.33. The
wave is polarized along the z-axis and has a vacuum wavelength of
A_0 = 500nm.
A. What is the phase velocity of the wavefront in water?
B. What is the wavenumber of the electromagnetic wave in
water?
C. What is the linear frequency of the electromagnetic wave in
water?
D. If the electric field amplitude is 31.0 V/m,...

A plane electromagnetic wave traveling in the positive direction
of an x axis in vacuum has components Ex = Ey = 0 and Ez = (4.5
V/m) cos[(π × 1015 s-1)(t - x/c)].(a) What is the amplitude of the
magnetic field component?

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 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...

An electromagnetic wave in vacuum has an electric field
amplitude of 321 V/m. Calculate the amplitude of the corresponding
magnetic field. _________nT

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?

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)?

The plane monochromatic electromagnetic wave has frequency ?,
polarized in the positive ?-axis
direction moving towards the positive ?-axis direction. The
amplitude of the electric field is ?0, and
the start of time is chosen so that at ? = 0, the electric field
has a value ?0/2 at the origin.
Give answers with only the variables above and speed of light is c
and permittivity ?0.
a. Write the electric field of the wave.
b. Find the associated magnetic...

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