Read the explanation
This source uses the ideal rotating coil formulas. With five hundred turns, area point eight square meters, magnetic field one point two tesla and speed three hundred R P M, angular frequency is ten pi radians per second. Flux through one turn is B A cosine theta, while induced voltage is N B A omega sine theta. Begin at theta zero. Flux is positive point nine six webers and voltage is zero. Cyan shows flux divided by its amplitude, and yellow shows voltage divided by its amplitude. Their separate vertical axes share sixty pixels per normalized unit. Advance the coil angle through one full turn. The input cursor follows theta from zero to two pi. Both output markers are computed from that same changing angle. Flux falls as its cosine changes, while the sine voltage follows the rate of flux change with the winding convention used by the source. The waveform curves are fixed references and the markers show the current calculated values. This explanation paces a model angle; it is not measuring actual hardware rotation or the page animation clock. Hold theta at two pi. Flux returns to positive point nine six webers and induced voltage returns to zero, apart from negligible floating point rounding. Both markers stop at those endpoints. Normalization keeps the wave relationship visible; it does not make webers and volts interchangeable. The voltage amplitude for these ideal inputs is about fifteen thousand seventy nine point six four volts. These are source model calculations, not certified machine ratings. Losses, saturation and many practical constraints are omitted. Keep coil turns five hundred, area point eight square meters and field one point two tesla. Begin at three hundred R P M, the hydroelectric preset speed. Dividing by sixty gives five rotations per second. The source peak E M F is turns times area times field times angular speed, about fifteen thousand seventy nine point six four volts. The top output plot is frequency in hertz and the bottom is voltage in volts. They share the same horizontal R P M coordinate but have explicitly different vertical scales. Increase only rotation speed from three hundred to six hundred R P M. Frequency rises linearly, because each sixty R P M adds one rotation per second. Peak voltage also rises linearly because it is proportional to angular speed with the other three quantities held fixed. Both moving output markers follow their actual formulas. This is an ideal parameter comparison, not a claim that every real generator can safely double speed. Hold at six hundred R P M. Frequency is ten hertz, and the calculated peak voltage is about thirty thousand one hundred fifty nine point two nine volts, twice its initial value. The markers remain still during these numerical statements. The native source advances its drawn phase by nominal omega divided by sixty on each animation frame. That is a chosen frame convention, not an independently measured elapsed time clock. The mathematical frequency and CSV values are the quantities being explained here. Restore rotation speed to three hundred R P M and hold coil turns, area and field fixed. Peak voltage is again about fifteen thousand seventy nine point six four volts. The source assumes a purely resistive load. Start its resistance at ten ohms. Peak current is peak voltage divided by resistance, about one thousand five hundred seven point nine six amps. The input marker shows ohms and the output marker shows amps. Those large numbers are results of the simplified inputs, not safe operating limits. Increase only load resistance from ten to twenty ohms. The output marker follows the inverse relationship E peak divided by R. Voltage stays fixed in this model while peak current decreases. A real generator could involve impedance, heating, feedback and source resistance, which this comparison does not solve. The plotted curve isolates the exact load rule actually used by this page. Hold resistance at twenty ohms. Peak current is about seven hundred fifty three point nine eight amps, half its initial value. The source peak power and drag estimate also halve under their stated simplified formulas. Its drag formula uses a peak based convention; it is not a measured mean shaft torque. Original presets, all five parameter sliders, reset and actual C S V exports remain above the video. The export contains two hundred one sampled rows of time, flux, induced voltage and load current, so you can inspect the actual formulas rather than infer them from a drawing.