Root-Mean-Squared Sinusoidal Current via Riemann Sums

This example visualizes how to compute the root-mean-squared (RMS) current Irms for a sinusoidal current by turning the RMS definition into an area/average problem. It emphasizes the graphical decomposition of the squared sinusoidal waveform over one period and the numerical approximation of the required integral using Riemann sums (upper/lower sum intuition). Key math ideas include periodic trigonometric functions, the RMS formula expressed through an average of the square, and the use of partition width (h) and subintervals (driven by parameters like omega and T) to approximate integrals. In GeoGebra terms, the construction uses parameter objects such as omega, T, I_O, and time t to build the current function f/g, then squares and partitions the graph using objects like b, c_1, a, h, p, c, d, e, i to represent endpoints and rectangle heights for the sum approximation. Finally, it computes Irms from the accumulated approximation and displays results via text1, making it suitable for calculus/graphing lessons and early electrical engineering or physics demonstrations focused on AC quantities.