Question

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 field.
c. Find the Poynting associated with this wave.
d. Show by direct averaging of the Poynting vector that intensity of the wave is ? =1/2 c ?0 E0^2
e. Find the expression for the momentum density stored in this wave

Homework Answers

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 wave of wavelength 100 nm is polarized along z direction and travelling along -x...
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, 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 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...
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...
Write the equation of 60*  linearly polarized electromagnetic plane wave with respect to y axis, the electric...
Write the equation of 60*  linearly polarized electromagnetic plane wave with respect to y axis, the electric field amplitude of 3V/m, wavelength of 600 nm in free space and propagating along z direction.
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 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,...
Suppose that an electromagnetic wave which is linearly polarized along the x−axis is propagating in vacuum...
Suppose that an electromagnetic wave which is linearly polarized along the x−axis is propagating in vacuum along the z−axis. The wave is incident on a conductor which is placed at z > 0 region of the space. The conductor has conductivity σ, magnetic permeability µ and electric permittivity ε. (a) Find the characteristic time for the free charge density which dissipates at the conductor. (b) Write the Maxwell equations and derive the wave equation for a plane wave propagating in...
A plane monochromatic electromagnetic wave with wavelength λ = 4.9 cm, propagates through a vacuum. Its...
A plane monochromatic electromagnetic wave with wavelength λ = 4.9 cm, propagates through a vacuum. Its magnetic field is described by B⃗ =(Bxi^+Byj^)cos(kz+ωt) where Bx = 3.8 X 10-6 T, By = 3.2 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 2) What is I, the intensity of this wave? 3) What is Sz, the z-component of the Poynting vector at...
A plane monochromatic electromagnetic wave with wavelength λ = 3.2 cm, propagates through a vacuum. Its...
A plane monochromatic electromagnetic wave with wavelength λ = 3.2 cm, propagates through a vacuum. Its magnetic field is described by B⃗ =(Bxi^+Byj^)cos(kz+ωt)B→=(Bxi^+Byj^)cos⁡(kz+ωt) where Bx = 3.6 X 10-6 T, By = 4.4 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1)What is f, the frequency of this wave? 2)What is I, the intensity of this wave? 3)What is Sz, the z-component of the Poynting vector at (x = 0,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT