DENRAKU

See electromagnetism come alive. 10 sims: electric fields, circuits, induction, capacitors, magnets, EM waves, transformer, Hall effect, generator, ion conduction.

DENRAKU brings the invisible world of electromagnetism to your fingertips. Watch electric field lines dance around charges, see current flow through circuits, and observe electromagnetic waves propagate, all through beautiful, interactive simulations.

Part of the BUTURAKU physics simulation series, DENRAKU is the electromagnetism edition. Whether you're a student studying for exams, a teacher looking for classroom demos, or simply curious about how the physical world works, DENRAKU transforms abstract equations into vivid, touchable experiences.

10 Simulations:

• Electric Field: Place positive (+) charges with a tap or negative (-) charges with a long press. Watch field lines spring from positive charges and curve toward negative ones, with animated light particles flowing along the lines. Drag charges to reshape the field in real time. Coulomb's law (E = kq/r^2) and the superposition principle come alive.

• Circuit: Explore Ohm's law (V = IR) with a series circuit simulation. Adjust voltage and resistance with intuitive sliders and watch animated current particles speed up or slow down. Power, Kirchhoff's voltage law, and current law are explained alongside the simulation.

• Electromagnetic Induction: Drag a magnet toward and away from a coil to generate an EMF. A real-time meter and graph show Faraday's law (EMF = -N dPhi/dt) and Lenz's law in action. Adjust magnet strength, coil turns, and resistance to see how each parameter affects the induced current.

• Capacitor: Watch an RC circuit charge and discharge in real time. Three synchronized graphs display Q(t), I(t), and V(t) as they evolve exponentially. Tap to toggle between charging and discharging, and adjust capacitance, resistance, and source voltage.

• Magnetic Field: Place bar magnets on the canvas and observe dipole field lines trace from N-pole to S-pole. A field strength heatmap and animated cyan particles reveal the invisible magnetic landscape. Drag to move magnets, long press to remove them.

• Electromagnetic Wave: Visualize how electric (red) and magnetic (blue) fields oscillate perpendicular to each other as they propagate through space. Adjust wavelength, amplitude, and frequency. Learn about Maxwell's equations, the Poynting vector, and the speed of light.

• Transformer: Simulate mutual induction between primary and secondary coils linked by an iron core. Adjust primary voltage, frequency, turns ratio, and load resistance to see how V2/V1 = N2/N1 and I2/I1 = N1/N2 unfold in real-time waveforms. Learn about power conservation and induced EMF.

• Hall Effect: Apply a magnetic field perpendicular to a current-carrying conductor and watch the Lorentz force deflect carriers, producing the transverse Hall voltage Vh. Toggle between electrons and holes, and flip the sign of current or field to see how the accumulation side reverses. Vh = IB/(nqt) used in semiconductor characterization.

• Generator: Visualize how a coil rotating inside a magnetic field generates a sinusoidal EMF: epsilon = NBA omega sin(omega t). Tune the field, turns, angular frequency, and load resistance to study peak EMF (epsilon0 = NBA omega) and output power (P = epsilon^2/R) in real-time waveforms.

• Ion Conduction: See cations and anions drift in opposite directions inside an electrolyte under an applied electric field. Adjust voltage, ion density, mobility, and temperature to experience drift velocity (vd = mu E), current density (J = nqvd), and conductivity (sigma = nq mu).

Features:

• 10 fully interactive physics simulations
• Real-time rendering with smooth animations
• Physics info sheets with formulas and explanations for each topic
• Dark and light mode support
• Japanese and English localization (auto-switches by device language)
• No login required, start exploring instantly