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Pressure Wave Simulation: Instructor's Guide
Main Ideas
- Relationship between voltage and charge
- Relationship between pressure and displacement waves
- Reflection and transmission coefficients
- Sinusoidal functions
Students' Task
Estimated Time: 5 minutes
Students are presented with a picture of molecules at three successive times and asked to draw both the displacement and pressure graph that would represent the picture. A Mathematica simulation of the situation is used to summarize the discussion.
Prerequisite Knowledge
- Sinusoidal functions.
- Derivative relationship between pressure and displacement
Props/Equipment
- Small White Boards
- Computer with Mathematica
Activity: Introduction
This activity begins with a SWBQ where students are presented with a picture of molecules of molecules at three successive times and asked to draw both the displacement and pressure graph that would represent the picture.
Activity: Student Conversations
- What are the dots? – there are several analogies to help the students think about what the dots represent:
- electrons in a coaxial cable
- air molecules in a pipe
- people in class (see Creating a Pressure-like wave in a Coaxial Cable activity)
- What kind of a wave is this? – answers such as longitudinal and traveling can lead to good conversation.
Activity: Wrap-up
Things to emphasize in the discussion:
- the connection of displacement, force, and pressure to charge, current, and voltage,
- the derivative a sinusoidal function is itself a sinusoidal function and also satisfies the wave equation and have reflection and transmission coefficients,
- the sign difference between the reflection and transmission coefficients for displacement and pressure waves,
Extensions
This is a good follow-up activity to the Creating a Pressure-like wave in a Coaxial Cable kinesthetic activity.
Together, these two activities provide an excellent set up for the Wave Propagation in a Coaxial Cable lab.