Consider two periodic wave functions, y1 (x, t) = A sin (kx − ωt) and y2 (x, t) = A cos (kx − ωt + ϕ). (a) For what values of ϕ will the wave that results from a superposition of the wave functions have an amplitude of 2A? (b) For what values of ϕ will the wave that results from a superposition of the wave functions have an amplitude of zero?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
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Consider two periodic wave functions, y1 (x, t) = A sin (kx − ωt) and y2 (x, t) = A cos (kx − ωt + ϕ). (a) For what values of ϕ will the wave that results from a superposition of the wave functions have an amplitude of 2A? (b) For what values of ϕ will the wave that results from a superposition of the wave functions have an amplitude of zero?

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