Question

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 in seconds.)

magnitude E = (  ) cos 2π(  x −  t)
direction ---Select--- +x −x +y −y +z −z


Write expressions in SI units for the space and time variations of the magnetic field. (x is in meters, and t in seconds.)

magnitude B = (  ) cos 2π(  x −  t)
direction ---Select--- +x −x +y −y +z −z


(e) Find the average power per unit area this wave carries through space.
W/m2

(f) Find the average energy density in the radiation.
J/m3

(g) What radiation pressure would this wave exert upon a perfectly reflecting surface at normal incidence?
Pa

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 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, 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...
A plane electromagnetc sinusoidal wave of frequency 40 MHz tavels free space in the x-direction. at...
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...
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,...
A EM wave in vacuum travels in the +x direction. At a moment in time, the...
A EM wave in vacuum travels in the +x direction. At a moment in time, the magnetic field is −(9.20 ?T)?̂. Find the magnitude and direction of the electric field.
Consider a source consisting of an infinite sheet lying in the xy-plane in free space. A...
Consider a source consisting of an infinite sheet lying in the xy-plane in free space. A uniformly distributed current Js(t) flows on this infinite plane sheet. (a) The source generates sinusoidally time-varying uniform plane waves propagating in the ±z-direction in free space. Consider the +z propagation having the following characteristics: f = 200MHz and polarization is left circular with the electric field at z = 0+ and t = 0 having an x-component equal to -2E0 and a y-component equal...
Problem 1 An electromagnetic wave propagates along the +y direction. If the electric field at the...
Problem 1 An electromagnetic wave propagates along the +y direction. If the electric field at the origin is along the +z direction, what is the direction of the magnetic field 2 If an electromagnetic wave has components Ey = E0 sin(kx - ?t) and Bz = B0 sin(kx - ?t), in what direction is it traveling?