Question: Show that when the two waves of Eq. (7.5) are in-phase, the resulting amplitude squared is a maximum equal to (E 01 + E 02

Show that when the two waves of Eq. (7.5) are in-phase, the resulting amplitude squared is a maximum equal to (E₀₁+ E₀₂)², and when they are out-of-phase it is a minimum equal to (E₀₁- E₀₂)².

(7.5a) E1 = E01 sin (wt + aj) (7.5b) E2 = E02 sin (ot + a2)

Step by Step Solution

★★★★★

3.53 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

In phase Out of p... 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

Students Have Also Explored These Related Optics Questions!

Two coherent waves are described by Determine the relationship between x1 and x2 that produces constructive interference when the two waves are superposed. 2TX1 = 10 sin E2 = Eo sin ( 2mc2-2

For the van der Waals interaction with potential-energy function given by Eq. (13.25), show that when the magnitude of the displacement x from equilibrium (r = Ro) is small, the potential energy can...

Show that when the source of electromagnetic waves moves away from us at 0.600c, the frequency we measure is half the value measured in the rest frame of the source.

Show that when the two waves of eq 7 . 5 are in phase and resulting amplitude squared is a maximum equal to ( E 0 1 + E 0 2 ) ^ 2 and when they are out of phase it is a minimum equal to ( E 0 1 - E 0...

Please, answer all the following questions: \f\f\f\f\f\f\f1.0 0.8 9.6 0.4 0.2 -2 N If you use MATLAB, here is a sample code. .Fourier preview clear all; n1=32; x=-5:0. 1 : 10; S=0 ; for k=0:1:n1 s=s...

The time it takes for a wave to complete one wave cycle is the wave's __________. Answers A. amplitude B. period C. wavelength D. frequency Question2. The distance from the trough of a wave to the...

Please, answer all the 4 following questions: 1. Using the definition of E, show that E in equation (2) is equivalent to E in equation (3). 2. Show that the time-average of e" , as defined below,...

Card, D., Krueger, A.B. (1994). Minimum wages and employment: a case study of the fast-food industry in New Jersey and Pennsylvania. American Economic Review, 84(4), 772-93. Once you have read your...

space weather PLEASE HELP ME use MATLAB NO REFERENCE 1.1 Free Space Maxwell's equations describe the behavior of electromagnetic fields and their interaction with mat- ter. They are one of the major...

IOE 419 Mark S. Daskin Service Operations Management IOE Department Winter, 2017 University of Michigan Problem set 4 DUE: MONDAY - February 20, 2017 Points: 100 points total Problem 1: Babette has...

A linear probability model you have developed finds there are two factors influencing the past bankruptcy behavior of firms: the debt-to-equity ratio and the sales-to-total assets ratio. Based on...

purchase general liability insurance agreement for the period of January 1, 2007, to December 31, 2007. The insurance agreement costs Gannett $120,000 and was paid on January 1, 2007. How will...

The file Drink contains the following data for the amount of soft drink (in liters) in a sample of fifty 2-liter bottles:

Are net-payout ratios in the 2000s much lower than they were in the 1960s?

What are the quantum numbers for the electrons in the lithium atom (Z = 3) when the atom is in its ground state?

In the spectrum of singly ionized helium, what is the series limit for its Balmer series?

How much energy is required to remove the second electron from a singly ionized helium atom? What is the maximum wavelength of an incident photon that could tear this electron from the ion?

Which line supports the central idea that Antony does not understand the conspirators motives? Antony , beg not your death of us ! You see we do , yet see you but our hands, And this the bleeding...

The wacc is used as the discount rate to evaluate various capital budgeting projects. However, it is important to realize that the WACC is an appropriate discount rate only for a project of average...

Forward strategy for currency hedging Wellvet Partners is renowned for its provision of currency hedging services to international clients. Recently, Square Corporation, a US-based firm, approached...