Use a normalization slightly different from the text and write the complex electric field of an electromagnetic
Question:
Use a normalization slightly different from the text and write the complex electric field of an electromagnetic wave packet as
(a) Show that the total linear momentum of the wave packet satisfies
(b) Produce an argument which shows that
(c) When does the equal sign apply in part (b)?
Transcribed Image Text:
E(r, t) = 1 (27)³/2 fd³k E d³k E₁ (k) exp[i (k. r - ckt)].
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (3 reviews)
a b c Let k ...View the full answer
Answered By
Bree Normandin
Success in writing necessitates a commitment to grammatical excellence, a profound knack to pursue information, and a staunch adherence to deadlines, and the requirements of the individual publication. My background comprises writing research projects, research meta-analyses, literature reviews, white paper reports, multimedia projects, reports for peer-reviewed journals, among others. I work efficiently, with ease and deliver high-quality outputs within the stipulated deadline. I am proficient in APA, MLA, and Harvard referencing styles. I have good taste in writing and reading. I understand that this is a long standing and coupled with excellent research skills, analysis, well-articulated expressions, teamwork, availability all summed up by patience and passion. I put primacy on client satisfaction to gain loyalty, and trust for future projects. As a detail-oriented researcher with extensive experience surpassing eight years crafting high-quality custom written essays and numerous academic publications, I am confident that I could considerably exceed your expectations for the role of a freelance academic writer.
5.00+
7+ Reviews
21+ Question Solved
Related Book For
Question Posted:
Students also viewed these Engineering questions
-
The electric field of an electromagnetic wave propagating in air is given by Find the associated magnetic field H (z. t) E(2,1) = 14cos(6 x 10t- 2:) +y3 sin(6 x 10t- 2:) (V/m).
-
The electric field of an electromagnetic wave points in the positive y direction. At the same time, the magnetic field of this wave points in the positive z direction. In what direction is the wave...
-
The electric field of an electromagnetic wave traveling in the positive x-direction is given by (a) Describe the field verbally. (b) Determine an expression for k. (c) Find the phase speed of the...
-
Why is it so difficult to assess whether a firm is properly valued?
-
Marty has just won the National Magazine Sweepstakes. He has two options for receiving his prize. The first option is to accept a $125,000 cash payment today. The second option is to receive $15,000...
-
Determine whether the following series converge. 1)* k 3k + 2 k=1
-
Taj Mahabub was the founder and CEO of GenAudio, a Colorado-based audio technology company. GenAudio had struggled financially practically since its formation, and Mahabub wished to secure a...
-
In the month of June, Jose Heberts Beauty Salon gave 4,000 haircuts, shampoos, and permanents at an average price of $30. During the month, fixed costs were $16,800 and variable costs were 75% of...
-
Ann wants to start a business that processes blueberries so that they are easier for people to store for the winter. How would transportation costs between Bethel and outside of Alaska help or hurt...
-
The scalar wave equation is (a) Find a general solution to this equation by separating variables in the form u(r)T (t). (b) Use Cartesian variables to separate the equation satisfied by u(r). Write...
-
If f is a scalar function of one scalar variable, we know that f (z ct) are solutions of the one-dimensional wave equation. (a) Show that f (r ct) / r are solutions of the three-dimensional wave...
-
Why have policy makers changed their focus from keeping inflation from getting too high to keeping inflation from getting too low?
-
Suppose a parabola has the x-intercept s (-7,0) and (-2,0). a. Write the quadratic function as a product of two factors. b. Multiply the factors to write the quadratic function in y=ax^(2)+bx+c form.
-
Selling, administrative and finance expenses Fixed expenses per month are expected to be as follows: Wages Administrative expenses Selling expenses Finance expenses Depreciation office furniture...
-
A company began operations on January 1, 20x3. It applies overhead based on direct labour hours. The company uses a job order system and started the following jobs during January 20x3: Item Job 101...
-
About 75% of the seeds of a certain kind sold in a shop germinate under normal conditions. Sandra buys a packet containing 10 seeds. What is the probability that 3 of them germinate?
-
Javier is a partner in Wines-R-Us. His inside tax basis in the LLC is equal to his outside tax basis in the LLC. His tax basis capital account is $90,000. His share of LLC liabilities is $25,000....
-
Write equations describing the reactions of Ga with each of the following: F2, O2, S8, and HCl.
-
In Exercises find dy/dx by implicit differentiation. xy - y = x
-
Draw the shear and moment diagrams for the beam. The support at A offers no resistance to vertical load. Wo
-
Draw the shear and moment diagrams for the simplysupported beam. 2wo Wo A B L/2- L/2 -L/2-
-
Draw the shear and moment diagrams for the beam. The supports at A and B are a thrust bearing and journal bearing, respectively 600 N 300 N 1200 N/m B F0.5 m -1 m 0.5m 0.5 m-
-
3) Let == arctan(3/4) and = arccos(-8/17). First, SKETCH these angles, in separate diagrams, in standard position. Then, EVALUATE these expressions (exactly): (a) cos(0-0) (b) sin(20) (c) tan(+0) 4)...
-
3. A technician is given 120 ml of a 50% (W/V) potassium chloride solution, and is told to add 300 ml of sterile water to it. What will the final (W/V) percentage concentration be of the solution? 4....
-
(5 points) Pease's Candy Shop has ten different kinds of chocolate bars: four kinds of milk chocolate, three kinds of dark chocolate, and three kinds of white chocolate. Li is going to buy six...
Study smarter with the SolutionInn App