Wave mathematics

• Challenge: Waves racing up and down a hanging rope

• Adding waves together
  In general, the result is the sum of the original waves. In the very special case that the two waves have the same frequency and the same amplitude, then there is a simple result ....
• Adding waves (with same frequency) via phasors
  When two wave the same frequency but different amplitudes, or when there are more than two waves with identical frequency, then it helps to use phasors to add the waves.
• Example problem using phasors
• Travelling waves carry energy -- how much?
• The wave equation

Copyright © Michael Richmond. This work is licensed under a Creative Commons License.