Simulations

Wavefront

In order to help students visualise a wavefront, a 3-D image is usually used to show the imaginary line joining particles in phase. I created the GeoGebra apps below to allow students to change the wavefront and observe it move with time at a constant wave speed. There represent simplified versions of waves on a ripple tank with a linear and circular wavefront.

Linear Wavefront

A wavefront for a linear wave is a straight line that represents points of equal phase, typically generated by a plane wave source. These wavefronts are parallel to each other and move in a uniform direction as the wave propagates.

GeoGebra link: https://www.geogebra.org/m/rbjcszuc

Rotating the first waveform, you can get the displacement-distance profile of a wave, which is basically the cross-section of a 3-D wave.

Circular Wavefront

A wavefront for a circular wave is a continuous line or curve that represents points of equal phase, emanating outward from a central source. In a two-dimensional medium, these wavefronts are concentric circles that expand as the wave propagates away from the source.

GeoGebra link: https://www.geogebra.org/m/axdhtccg

Graphs of a Progressive Wave – Geogebra App

GeoGebra link: https://www.geogebra.org/m/f7faw3r6

This simple Geogebra app allows students to observe the oscillation of a particle perpendicular to the direction of energy transfer.

Velocity-Displacement Graph of a Simple Harmonic Oscillator – Animation

This animation is made using Geogebra. It shows the instantaneous velocity and displacement vectors of a particle undergoing simple harmonic motion while tracing its position on the velocity-displacement graph. It is meant to help student understand why the graph is an ellipse.

Simulation: Faraday’s Law of Induction

This simulation traces the flux linkage and corresponding emf generated by a rectangular coil rotating along an axis perpendicular to a uniform magnetic field. One is able to modify the angular frequency to see the effect on the frequency and peak emf generated.

Faraday’s law of electromagnetic induction

https://ejss.s3-ap-southeast-1.amazonaws.com/faradayslaw_Simulation.xhtml

Phase Difference Simulation

I created this simulation for use later this semester with my IP4 classes, to illustrate the concept of phase difference between two oscillating particles.

https://ejss.s3-ap-southeast-1.amazonaws.com/phasedifference_Simulation.xhtml

Update (26 August 2020): I have also created a GeoGebra app to demonstrate the same principle.