Constants I Periodic TableSuppose two linear waves of equal amplitude andfrequency have a phase difference o as they travelin the same medium. They can be represented byDi = A sin(kæ – wt)D2 = A sin(kx – wt + 4).Part AUse the trigonometric identity sin O1 + sin 02 = 2 sin ; (01 + 02) cos; (01 – 02) to find the resultant wave.Express your answer in terms of the variables A, k, x, w, t, and o.?D =SubmitRequest AnswerPart BWhat is the amplitude of this resultant wave?Express your answer in terms of the variables A and ø.Πνα ΑΣφAD, +D2%3DSubmitRequest Answer Constants I Periodic TableSuppose two linear waves of equal amplitude andfrequency have a phase difference o as they travelin the same medium. They can be represented byPart DD1A sin(kæ – wt)Constructive interference occurs ifD2 = A sin(ka – wt + ø).Ф%3 п, Зп, 5п,(2n + 1)т.ф%3D 0, 2п, 4т, ...,2ntО ф-т/2, 3п/2, 5л/2, ..., (2n + 1)п/2ОФ3D0, п, 2п, ..., ппSubmitRequest AnswerPart EDestructive interference occurs ifФ%3 п, Зп, 5п,(2n + 1)п.=Оф-0, 2т, 4т,2ntф- т/2, Зл/2, 5т /2, .., (2n + 1)п/2$ = 0, T, 27 .%3DSubmitRequest Answer

Constants I Periodic Table Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by D1 = A sin(kæ – wt) D2 = A sin(kx – wt + ø). Part A Use the trigonometric identity sin 01 + sin 02 = 2 sin (01 + 02) cos (01 – 02) to find the resultant wave. Express your answer in terms of the variables A, k, x, w, t, and o. ΠV ΑΣφ D = Submit Request Answer Part B What is the amplitude of this resultant wave? Express your answer in terms of the variables A and d. Ap, +D2 = Submit Request Answer

Constants I Periodic Table Suppose two linear waves of equal amplitude and frequency have a phase difference o as they travel in the same medium. They can be represented by D1 = A sin(kæ – wt) D2 = A sin(kx – wt + ø). Part A Use the trigonometric identity sin 01 + sin 02 = 2 sin (01 + 02) cos (01 – 02) to find the resultant wave. Express your answer in terms of the variables A, k, x, w, t, and o. ΠV ΑΣφ D = Submit Request Answer Part B What is the amplitude of this resultant wave? Express your answer in terms of the variables A and d. Ap, +D2 = Submit Request Answer

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 149CP: Consider two wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kx+t+) . The resultant wave form when...

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