Question

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 wave? The wave uniformly illuminates a surface of area 2.6 m2. 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

Givendata:

wave length =2.5 m

amplitude 270 V/m

a)f=c/lambda = 3*10^8/2.5=1.2*10^8 Hz

b)angular frequency = 2*pi*f

=2*3.14*1.2*10^8=7.5*10^8

c)angular wave number of the wave

k=(2*pi)/lambda = 2*3.14/2.5=2.512

(d) What is the amplitude of the magnetic field component?

B=E/c =270/(3*10^8)=9*10^-7

(e) Parallel to which axis does the magnetic field
oscillate?

z direction

(f) What is the time-averaged rate of energy flow associated
with this wave?

I=(C*Bm^2)/(2*muo)

I =(3*10^8*9*10^-7*9*10^-7)/(2*4*3.14*10^-7)=96.73

h) Pr = I/c = 96.73/(3*10^8)=3.22*10^-7

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 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...

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)?

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?

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...

The magnetic field of an electromagnetic wave in a vacuum is Bz
=(3.8μT)sin((1.15×10^7)x−ωt), where x is in m and t is in s
What is the wavelength, frequency, and electric field amplitude
of the wave?

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...

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!!

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 1 minute ago

asked 4 minutes ago

asked 8 minutes ago

asked 14 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 19 minutes ago

asked 21 minutes ago

asked 22 minutes ago