Write a mathematical expression in complex form, including time... | Filo
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A wave function that is expressed in complex form is multiplied... | Filo
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The progressive wave equation is a fundamental concept in physics that describes the behavior of waves as they propagate through a medium. It is often expressed in the form:[y(x, t) = A sin(kx - omega t phi)]Here's a breakdown of the components:- (y(x, t)): Represents the displacement of the wave at a given position (x) and time (t).- (A): Amplitude, determining the maximum displacement from the equilibrium position.- (k): Wave number, indicating how many wavelengths exist in a unit distance.- (
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The progressive wave equation is a fundamental concept in physics th…
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FacebookAlison Zaccheaus Otuebe
SOLVED:One of the most important ideas of the physics of waves is that any complex waveform can be expressed as the sum of the harmonics of simple cosine and sine waves. That is, any wave function f(x) can be written as f(x)= a0+a1 cosx+a2 cos2 x+a3 cos3 x+a4 cos4 x+⋯ +b1 sinx+b2 sin2 x+b3 sin3 x+b4 sin4 x+⋯ The coefficients an and bn tell how much of each harmonic goes into the recipe for f(x). This series of cosine and sine terms is called the Fourier series for f(x). In general, both
SOLVED:One of the most important ideas of the physics of waves is th…
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