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 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
tavels free space in the x-direction. at some point and at some
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...

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?

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.

The magnetic field in a plane monochromatic electromagnetic wave
with wavelength λ = 684 nm, propagating in a vacuum in the
z-direction is described by
B⃗ =(B1sin(kz−ωt))(i^+j^)B→=(B1sin(kz−ωt))(i^+j^)
where B1 = 5.3 X 10-6 T, and
i-hat and j-hat are the unit vectors in the +x and +y directions,
respectively.
5)
Which of the following equations describes the spatial and time
dependence of the electric field oscillations?
6)
What is tmax, the first time after t = 0, when the
magnitude...

If the magnetic field of an electromagnetic wave is in the
+-direction and the electric field of the wave is in the
+-direction, the wave is traveling in the
-x-direction.
-y-direction.
+z-direction.
xy-plane.
-z-direction.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 8 minutes ago

asked 9 minutes ago

asked 12 minutes ago

asked 20 minutes ago

asked 23 minutes ago