# lecture28 - Superposition of Waves Superposition of Waves 1...

This preview shows pages 1–6. Sign up to view the full content.

Superposition of Waves

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1) Identical waves in opposite directions: “standing waves” 1) 2 waves at slightly different frequencies: “beats” 1) 2 identical waves, but not in phase: “interference” Superposition of Waves
Principle of Superposition Principle of Superposition 2 Waves In The Same Medium : The observed displacement y ( x,t ) is the algebraic sum of the individual displacements: y ( x,t ) = y 1 ( x,t ) + y 2 ( x,t ) (for a “linear medium”)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 waves, of the same amplitude, same angular frequency and wave number (and therefore same wavelength) traveling in the same direction in a medium but are out of phase: ) sin( ) sin( 2 1 φ ϖ + - = - = t kx A y t kx A y Trig: sin a + sin b = 2 cos [(a-b)/2] sin [(a+b)/2] Result: + - = + = 2 sin 2 cos 2 2 1 t kx A y y y Resultant amplitude What’s Special about Harmonic Waves?
For what phase difference is the total amplitude 2A? For what phase difference

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 05/02/2010 for the course PHYSICS 1E03 taught by Professor Jopko during the Spring '08 term at McMaster University.

### Page1 / 18

lecture28 - Superposition of Waves Superposition of Waves 1...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online