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Principle of Fourier synthesis

The animation illustrates the principle of Fourier synthesis: Complex periodic waveforms can be generated by superposition of simple sine waves (harmonics). The number of harmonics and the target waveform are adjustable. Links Description of the Animation The animation visualizes the Fourier series, which allows periodic functions to be represented as a sum of sine functions:… Read More »

Ice cubes in a water glass

The animation simulates the physical behavior of ice cubes in a glass of water. By clicking or using a button, ice cubes can be created that fall into the water, submerge, and float to the surface due to buoyancy—an illustrative example of Archimedes’ principle. Links Description of the Animation The animation shows a glass filled… Read More »

Astronomical simulation

The animation simulates the gravitational force between celestial bodies. Planets with different masses and initial velocities attract each other, form orbits, and can merge upon collision – an interactive model for exploring Newtonian gravitation. Links Description of the Animation The animation shows a space with freely placeable planets that attract each other according to Newton’s… Read More »

Momentum Conservation

The animation simulates a billiard shot to demonstrate the law of conservation of momentum. A white cue ball can be aimed at colored object balls, with the collisions showing momentum transfer between the balls. Links Description of the Animation The animation shows a billiard table with a white cue ball and six colored object balls… Read More »

The Sine Function

The animation illustrates the relationship between circular motion and a harmonic wave. A rotating pointer in the circle generates a sinusoidal wave curve through its projection—a fundamental principle for understanding oscillations and waves. Links Description of the Animation The animation shows how uniform circular motion and harmonic oscillation are mathematically related. A point moving at… Read More »

The Wave Function

The animation represents the mathematical description of a harmonic wave. Amplitude, wave number, and angular frequency are adjustable in real time. Links Description of the Animation The animation visualizes a harmonic wave function, which describes a wave in space and time: \[ y(x,t) = A \sin(kx – \omega t) \] Interactive Controls With the three… Read More »

Forces on Airfoil

The animation shows the forces on an aircraft airfoil (Clark Y profile). The angle of attack is adjustable. The force vectors update accordingly. Links Description of the Animation The lift force (blue) and the drag force (red) result from the lift coefficient CL and the drag coefficient CD, respectively. These coefficients are represented by curves… Read More »

Forces on a Wedge

The following animation illustrates the principle of force resolution at a wedge. The division of a main force into two flank forces is visualized in real-time through an interactive force parallelogram. Links Description of the Animation The animation shows a symmetrical wedge with three synchronized elements: wedge geometry, force vectors, and lines of action. The… Read More »

Transistor Characteristic Field

The following animation illustrates the characteristic curve family of a bipolar junction transistor (BJT) in a common-emitter configuration. Input, output, transfer, and current gain characteristics are displayed together in a four-quadrant diagram and interactively linked. Links Description of the Animation The animation shows a simple transistor circuit (common-emitter configuration) on the left, with a collector… Read More »

Functional Principle of a Voltage Divider

The following animation illustrates the functional principle of a voltage divider. Voltage dividers are of central importance for electrical signal processing. Description A voltage divider is a series circuit that divides an input voltage into two smaller output voltages. The magnitude of the output voltages depends on the ratio of the resistance values. A larger… Read More »