In a plane electromagnetic wave such as a light wave, the magnitudes of the electric and magnetic fields are related by E cB, where c 1 00 is the speed of light Show that in this case the electric and the magnetic energy densities are equal

Question: In a plane electromagnetic wave such as a light wave, the magnitudes of the electric and magnetic fields are related by E = cB, where

In a plane electromagnetic wave such as a light wave, the magnitudes of the electric and magnetic fields are related by E = cB, where c = 1/√є0μ0 is the speed of light. Show that in this case the electric and the magnetic energy densities are equal.

Step by Step Solution

★★★★★

3.51 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

From Equations 2511 and 3017 We ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

10-P-E-I (346).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

A plane electromagnetic wave E = Em cos (wt kr) propagates in vacuum. Assuming the vectors E m and k to be known, find the vector H as a function of time t at the point with radius vector r = 0.

A plane electromagnetic wave E = Em cos (wt kr), where Em = Emey, k = kex, ex, ey are the unit vectors of the x, y axes, propagates in vacuum. Find the vector H at the point with radius vector r =...

A plane electromagnetic wave E = Em cos (w kx) propagating in vacuum induces the emf ε ind in a square frame with side l. The orientation of the frame is shown in Fig. 4.37. Find the...

An electromagnetic wave is traveling in a vacuum. The magnitudes of the electric and magnetic fields of the wave are ______, and the electric and magnetic energies carried by the wave are ______. (a)...

please circle the answers please circle the answers please circle the answers 15r 4. [0.4/1 Points] PREVIOUS ANSWERS WAUNIPHYSAV1 15.P.020. ASK YOUR TEACHER PRACTICE ANOTHER In the diagram below, the...

EE 320 Homework 07 1. Consider the plane electromagnetic wave in vacuum (in SI units) given by the expressions Ex = -3 cos[21 x 1014 (t -) + 7] , By = 3V3 cos[2nt X 1014 (t - 2) + "], and Ez = 0,...

can I get help on 1 2 4 5 7 12 13 15 16 17 18 20 21 and 23 pls. I will rate up Question 1 Question 12 are not related to each other. part 1 of 1 10 points part 1 of1 10 points Question 15 A single...

Fill Out this transaction Table showing all transaction anyalsis on the table. Transaction Dec 2 - A. Sayeed withdrew $2 000 from the business for personal use. Dec 4 - Purchased parts for repairing...

ANSWER ALL OF THE FOLLOWING QUESTIONS A. Write the letter that corresponds to your answer 1. The speed of light is closest to a. 3,000,000 m/s b. 30,000,000 m/s c. 300,000,000 m/s d. 3,000,000,000...

Could use some help thanks PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER The magnetic field in a plane electromagnetic wave is represented by the equation B = Bmax sin(ky - ct)i where Bmax =...

MonsterMed Inc. (MMI) is an online pharmaceutical firm. MMI has a small systems staff that designs and writes MMIs customized software. The data center is installed in the basement of its two-story...

For each of the following molecules draw their Lewis structures, identify the intermolecular forces present and answer the questions be-low: F2, Cl2, C3H7OH, CH2OHCH2CH2CH2CH2OH, C5H11OH,...

reasons global dimension class could be beneficial to your careers in finance

A car is moving with constant acceleration as it passes two checkpoints that are 30 m apart. If the time taken between checkpoints is 4 sec and the car's speed at the first checkpoint is 5m/sec, then...

At 17 temperature and 870 ml pressure, the volume of the fixed mass in the gas is 76ml. What will be the volume of that gas at standard temperature and pressure.

Let Compute dw ds dw dt (-3,-2)=-40+40e^6 (-3,-2)= -20+55e^6 w = 5xy + 5yz + 5xz, x = st, y = et 2 = 1

For different materials of different work functions the energy of the liberated electrons at the threshold wavelengths are different. Select one: O True O False

If the position vectors of the points A, B, C, D are a = i+j+k, b= 2i + 3j, c = 3i + 5j 2k, d = k -j, show the line segments AB and CD are parallel and find the ratio of their lengths. Given the two...

Indicate the number of significant figures in each measurement in Problem 2.63. Data from Problem 2-63 What is the uncertainty in each measured number: (a) 12.60 cm (b) 12.6 cm (c) 0.000 000 03 in....

Why is it tiring to push hard against a solid wall even though you are doing no work?

The mass of Pluto was not known until it was discovered to have a moon. Explain how this discovery enabled an estimate of Plutos mass..

You have two springs that are identical except that spring 1 is stiffer than spring 2 (k1 > k2). On which spring is more work done (a) If they are stretched using the same force, (b) If they are...

You've invested $2,800 in Stock Arbuckle and $3,800 invested in Stock Roscoe. The expected returns on these stocks are 8 percent and 11 percent, respectively. Calculate the expected return on the...

The balance sheet and income statement shown below are for Sneaker Inc. Note that the firm has no amortization charges, it does not lease any assets, none of its debt must be retired during the next...

Present value ( in $ ) of an annity due \ table [ [ \ table [ [ Annuity ] , [ Payment ] ] , \ table [ [ Payment ] , [ Frequency ] ] , \ table [ [ Time ] , [ Period ( years ) ] ] , \ table [ [ Nominal...