Question

At some instant and location, the electric field associated with an electromagnetic wave in vacuum has...

At some instant and location, the electric field associated with an electromagnetic wave in vacuum has the strength 99.3 V/m. Find the magnetic field strength ?, the total energy density ?, and the power flow per unit area, all at the same instant and location.

Homework Answers

Answer #1

SOLUTION:

EM wave consist of electric and magnetic field waves oscillating in perpendicular planes with each other and also perpendicular to the direction of propagation.

Given E=99.3V/m

If B is the magnetic field and c is the velocity of light in vaacum , then we can write

where

Therefore

Power flow per unit area= P=u*c

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
At some instant and location the electric field associated with an electromagnetic wave in vacuum has...
At some instant and location the electric field associated with an electromagnetic wave in vacuum has the strength 87.5 V/m. Find the magnetic field strength (T), the energy density (J/m3), and the power flow per unit area (W/m2), all at the same instant and location.
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
A laser produces an electromagnetic wave with a maximum electric field strength of 1.00×1011 V /...
A laser produces an electromagnetic wave with a maximum electric field strength of 1.00×1011 V / m for a time of 1.00 ns. (a) What is the maximum magnetic field strength in the wave? (b) What is the intensity of the beam? (c) What energy does it deliver on a 1.00-mm2 area?
The electric field for a sinusoidal electromagnetic wave is E = E0 sin(ky+wt) i with E0...
The electric field for a sinusoidal electromagnetic wave is E = E0 sin(ky+wt) i with E0 =40 V/m and k = 1.40E+8 m-1. Select the direction of propagation for this wave. Find the wave number of the wave. Find the wavelength of the wave. Find the period of the wave. Find the frequency of the wave. Find the angular frequency of the wave. Find the speed of the wave. Find the amplitude of the magnetic field. For sinusoidal electromagnetic waves,...
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...
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?
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 an electromagnetic wave travelling in vacuum, where the electric field is given by: ?⃗ (?...
Consider an electromagnetic wave travelling in vacuum, where the electric field is given by: ?⃗ (? ,?)=40(?/?) sin[(8×106 ???/?) (?+??)+1.57 ???]?̂ a) Compute the: i. frequency ii. wavelength iii. period iv. amplitude v. phase velocity vi. direction of motion b) Write the corresponding expression for the magnetic field of this travelling wave (don’t forget to include the proper units). c) Plot this waveform as a function of x at t=0.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT