Question

A plane electromagnetic wave, with wavelength 2.5 m, travels in vacuum in the positive direction of...

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?

Homework Answers

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

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A plane electromagnetic wave, with wavelength 4.0 m, travels in vacuum in the positive direction of...
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 3.9 m, travels in vacuum in the positive direction of...
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 sinusoidal electromagnetic plane wave is traveling in the +y direction under water, with an index...
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,...
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has...
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 sinusoidal plane electromagnetic wave having a frequency of 3.00 GHz travels in the positive x...
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...
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...
An electromagnetic wave in vacuum has an electric field amplitude of 321 V/m. Calculate the amplitude...
An electromagnetic wave in vacuum has an electric field amplitude of 321 V/m. Calculate the amplitude of the corresponding magnetic field. _________nT
Consider a sinusoidal electromagnetic wave propagating in the +x direction, whose electric field is parallel to...
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)?
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...
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 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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT