Question

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, then what is the magnetic field amplitude in water?

E. Along what axes does the magnetic field oscillate?

Answer #1

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...

A sinusoidal plane electromagnetic wave propagates in
the space in the + y direction. If the direction and amplitude (9V
/ m) of the electrical component of this wave is i, what is the
magnetic direction and amplitude? Emergency please!!

A plane wave of wavelength 100 nm is polarized along z direction
and travelling along -x direction with the electric field amplitude
of 300 V/m (in vacuum). The maximum value of wave is at t=0 and
x=0. Write the wave equation of magnetic field Calculate the
intensity and Poynting vector of electromagnetic wave.

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 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...

Consider an antenna which releases an electromagnetic wave of
3cm wavelength traveling in air(of index of refraction 1) and
amplitude of the B-field component of 3mT. what is the resonant
frequency of the antenna? write the equation for the E-field
component as it propagates in the x direction. How does the
equation change if the elctromagnetic wave enters a medium of index
of refraction 1.52?

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) Write down expressions for the electric and magnetic fields
of a sinusoidal plane electromagnetic wave having a frequency of 3
GHz and traveling in the positive x direction. The amplitude of the
magnetic field is 1 μT. b) Verify that E(x, t) = Ae^(i(kx-wt)) or
B(x, t) = C sinkxsinwt is a solution of the one-dimensional wave
equation; A and C are constants.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 40 minutes ago

asked 44 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago