Question

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)?

Answer #1

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...

The electric field for a sinusoidal electromagnetic wave is
E = E0
sin(ky+wt) i
with E0 =40 V/m and k = 1.40E+8
m-1.
Select the direction of propagation for this wave.
Find the wave number of the wave.
Find the wavelength of the wave.
Find the period of the wave.
Find the frequency of the wave.
Find the angular frequency of the wave.
Find the speed of the wave.
Find the amplitude of the magnetic field.
For sinusoidal electromagnetic waves,...

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,...

Consider an electromagnetic wave travelling in vacuum, where the
electric field is given by:
?⃗ (? ,?)=40(?/?) sin[(8×106 ???/?) (?+??)+1.57
???]?̂
a) Compute the:
i. frequency
ii. wavelength
iii. period
iv. amplitude
v. phase velocity
vi. direction of motion
b) Write the corresponding expression for the magnetic field of
this travelling wave (don’t forget to include the proper
units).
c) Plot this waveform as a function of x at t=0.

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) 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.

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.

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?

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