I created a series of GeoGebra apps for the JC topics of Waves and Superposition, mainly on the concept of Phase Difference. The sizes of these GeoGebra apps are optimised for embedding into SLS. When I have time, I will create detailed instructions on how to create such apps. Meanwhile, feel free to use them.
Instructions on how to embed the apps into SLS can be found at this staging environment of the SLS user guide.
Phase difference between two particles on a progressive wave. Move the particles along the wave to see the value.
Phase difference between two particles on a stationary wave. Move the particles along the wave to observe how their velocities are different or similar.
Observe velocity vectors of multiple particles on a progressive wave.
Some of the more challenging problems in the topic of electricity in the A-level syllabus are those involving a potentiometer. The solution involves the concept of potential divider and the setup can be used to measure emf or potential difference across a variety of circuits components. Basically, students need to understand the rule - that the potential difference across a device is simply a fraction of the circuit's emf, and that fraction is equal to the resistance of the device over the total resistance of the circuit.
The intention of this Geogebra app is for students to practise working on their calculations, as well as to reinforce their understanding of the principle by which the potentiometer works.
I've curated a series of Geogebra apps that are relevant and useful for the instructional objectives under the Singapore-Cambridge GCE 'O' and 'A' level syllabi. Some of these apps were created by myself. If you have any ideas for new Geogebra apps, do let me know in the comments section below and I'll see if it's possible to create. Alternatively, if you have come across other Geogebra apps that can be relevant to the local physics syllabus, I would gladly include them into my lists!
As one of the first topics in A-level physics, kinematics introduces JC students to the variation of velocity and displacement with acceleration. Very often, they struggle with the graphical representations of the 3 variables.
This Geogebra app allows students to vary acceleration (keeping it to a linear function for simplicity) while observing changes to velocity and displacement. Students can also change the initial conditions of velocity and displacement.
The default setting shows an object being thrown upwards with downward gravitational acceleration of 10 m s-2.
The movement of the particle with time is shown on the left with a reference line showing the position on the displacement graph.
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.
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.