Question

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.

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) Write down expressions for the electric and magnetic fields of a sinusoidal plane electromagnetic wave...
(a) Write down expressions for the electric and magnetic fields of a sinusoidal plane electromagnetic wave having a frequency of 3 GHz and traveling in the positive x direction. The amplitude of the magnetic field is 1 μT. b) Verify that E(x, t) = Ae^(i(kx-wt)) or B(x, t) = C sinkxsinwt is a solution of the one-dimensional wave equation; A and C are constants.
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, 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 electromagnetic wave, with wavelength 3.3 m, travels in vacuum in the positive direction of...
A plane electromagnetic wave, with wavelength 3.3 m, travels in vacuum in the positive direction of an x axis. The electric field, of amplitude 130 V/m, oscillates parallel to the y axis. (a) What is the frequency of the wave?   Hz (b) What is the angular frequency of the wave? rad/s (c) What is the angular number of the wave? rad/m (d) What is the amplitude of the magnetic field component? T (e) Parallel to which axis does the magnetic...
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)?
a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 48.0 m...
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 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...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT