Superposition of Waves

Worksheets 

Worksheet-Superposition-of-Waves

Worksheet-Solutions-Superposition-of-Waves

Worksheet – Superposition of Waves 2

Worksheet Solutions – Superposition of Waves 2

Notes

Desmos calculator with addition of 2 square waves

Use the calculator to add together 2 square waves. Try the following, and try to understand what is happening mathematically as you adjust the parameters:

1. 1. Increase and decrease the frequency of the both waves.
   2. Increase the phase shift of both waves from 0 (no phase shift) to 1 (shifted a full period over).
   3. Increase and decrease the amplitude of both waves.
   4. Increase and decrease the vertical offset of both waves.

Now, you can use the calculator to solve the questions on the “Superposition of Waves” worksheet.

You can also use this calculator to create and solve an infinite variety of “superposition of waves” questions.

Extending Question

• Figure out how the following function creates a square wave with amplitude A, frequency f, phase shift (horizontal shift) P, and vertical offset C.

• What is the role of the constants ‘100’ in the equation?

 

See Also