Question

Consider electromagnetic radiation from a sodium lamp at the
sodium doublet wavelengths propagating as a plane wave in free
space with amplitude E0 = 2.5 N/C.

Using your knowledge of electromagnetic waves, propose equations
for the electric and magnetic fields of the wave of one of the
lines of the sodium light doublet. Explain any assumptions that you
make.

Answer #1

is the speed of light

is the magnetic field amplitude

assuming electromagnetic wave propagating along x- axis, we have

are the expressions for electric and magnetic fields

k is wave number and is angular frequency

Suppose that an electromagnetic wave which is linearly polarized
along the x−axis is propagating in vacuum along the z−axis. The
wave is incident on a conductor which is placed at z > 0 region
of the space. The conductor has conductivity σ, magnetic
permeability µ and electric permittivity ε.
(a) Find the characteristic time for the free charge density
which dissipates at the conductor.
(b) Write the Maxwell equations and derive the wave equation for
a plane wave propagating in...

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)?

Write the equation of 60* linearly polarized
electromagnetic plane wave with respect to y axis, the electric
field amplitude of 3V/m, wavelength of 600 nm in free space and
propagating along z direction.

a plane electromagnetic sinusoidal wave propagating in the x
direction. Suppose the wavelength is 48.0 m and the electric field
vibrates in the xy plane with an amplitude of 20.0 V/m.
(a) Calculate the frequency of the wave.__________ MHz
(b) Calculate the magnetic field B when the electric field has
its maximum value in the negative y direction. magnitude
__________nT
(c) Write an expression for B with the correct unit vector, with
numerical values for Bmax, k, and ω,
and...

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
+z propagation having the following characteristics: f = 200MHz and
polarization is left circular with the electric field at z = 0+ and
t = 0 having an x-component equal to -2E0 and a y-component equal...

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 satellite in geostationary orbit is used to transmit data via
electromagnetic radiation. The satellite is at a height of 35,000
km above the surface of the earth, and we assume it has an
isotropic power output of 1 kW (although, in practice, satellite
antennas transmit signals that are less powerful but more
directional).
Reception devices pick up the variation in the electric field
vector of the electromagnetic wave sent out by the satellite. Given
the satellite specifications listed in...

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...

Consider a harmonic, electromagnetic plane wave traveling along
a line from the origin to the point (2,6,4). It is linearly
polarized and its electric field lies in a plane perpendicular to
the direction of travel of the wave. The wavelength of the wave is
2.0 mm and it has a frequency of 120 GHz.
a) What is the index of refraction of the medium in which the
wave is traveling?
b) Write an expression for E(x,t), that is, the magnitude...

Like all light, the light from the sun is an electromagnetic
wave. In the vicinity of Earth, the average intensity of sunlight
is about 1400W/m^2. For this problem, assume that sunlight is a
monochromatic plane wave, so you can apply the equations for the
energy and pressure of an EM wave.
(a) What is the amplitude of the electric ﬁeld at Earth?
(b) If I go outside on a sunny day, the magnetic ﬁeld sensor on
my phone tells me...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 2 minutes ago

asked 6 minutes ago

asked 7 minutes ago

asked 10 minutes ago

asked 30 minutes ago

asked 43 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago