Engineering Hub

Dual-channel CRT/LCD waveform visualizer with real-time frequency, Vpp amplitude, trigger level, and timebase scaling.

Real-time Boolean gate propagation engine (AND, OR, NOT, NAND, NOR, XOR) with live truth tables and timing waveforms.

Parametric waveform generator contrasting sinusoidal, square, triangle, and sawtooth harmonics with noise injection.

Interactive hardware pin mapping for ESP32, STM32, Arduino Uno, and Raspberry Pi Pico with GPIO, ADC, PWM, and I2C multiplexing.

Browser Web Audio API Fast Fourier Transform (FFT) visualizer rendering real-time frequency bins from 20 Hz to 20 kHz.

Virtual solderless breadboard with tie-point terminal strips, power rails, jumper wiring, and integrated LED/resistor probing.

Dual-core Xtensa simulation demonstrating FreeRTOS tasks, queue scheduling, semaphore locks, and non-blocking sensor acquisition.

Exploded 3D view of a 4-layer FR-4 circuit board isolating Top Silk, Copper traces, Dielectric Prepreg, Ground Plane, and Solder Mask.

Comprehensive 38-pin matrix detailing strapping pins, capacitive touch channels, RTC GPIOs, and flash interface lines.

Low-latency software synthesizer featuring VCO waveforms, VCF resonant lowpass filter, ADSR envelope, and LFO modulation.

Multi-channel waveform capture engine with configurable edge triggers, timing cursors, and protocol frame decoding.

Full chromatic keyboard interface with mouse/keyboard mapping, velocity sensitivity, octave transpose, and MIDI event dispatch.

Dual magnitude (dB) and phase angle (degrees) logarithmic frequency plot for evaluating stability margins and bandwidth.

3D spatial logic visualizer mapping inputs, gate propagation, and electron particle flows across three-dimensional axes.

Bench instrument generating clean test signals with precise DC offset, duty cycle modulation, and sweep frequency sweeps.

Interactive multi-layer perceptron showing forward propagation weights, ReLU activation nodes, and backprop gradient descent.

Proportional-Integral-Derivative feedback loop tuning workbench with step response tracking, overshoot, and steady-state error.

Differential CAN High/Low signal inspection and asynchronous UART packet framing with baud rate matching and parity checks.

Real-time benchmark comparing HTTP/2 vs HTTP/3 QUIC connection establishment, payload serialization, and edge TTFB latency.

Component packaging inspector comparing 0402, 0603, 0805, QFN, and BGA footprint clearances and reflow solder thermal profiles.

Multi-band parametric EQ using cascaded biquad IIR filters with interactive Q factor resonance and gain peaking.

Interactive 555 timer IC with internal comparator thresholds (1/3 Vcc and 2/3 Vcc), discharge transistor, and RC timing math.

Reconstruct arbitrary periodic waveforms by summing fundamental and odd/even harmonics with Gibbs phenomenon visualization.

Second-order differential equation solver modeling series RLC circuits across Underdamped, Critically Damped, and Overdamped states.

Sallen-Key active lowpass and highpass filter topologies with gain-bandwidth product (GBWP), slew rate limits, and roll-off.

Decodes through-hole resistor color bands into nominal resistance, multiplier, and manufacturing tolerance percentages.

Instantaneous multi-variable solver for Voltage (V), Current (I), Resistance (R), and Power (P = V·I = I²·R = V²/R).

First-order RC passive filter simulator calculating -3dB cutoff frequency (fc = 1 / 2πRC) and attenuation across octaves.

Interactive rotating polar phasor diagram and line-to-line 3-phase instantaneous AC sinusoidal waveforms with live active/reactive power calculations.

Diode bridge conduction simulator with capacitive ripple filtering, diode threshold voltage drops (1.4V), and peak-to-peak ripple voltage calculations.

Switched-mode step-down DC-DC power supply with PWM duty modulation, inductor current triangular ripple (CCM/DCM), and output ripple filtering.

Interactive energy band model visualizing valence/conduction bands, Fermi level, thermal carrier excitation ratio, and donor/acceptor impurity states across Si, Ge, GaAs, InP, SiC, and Diamond.

Interactive 3x3 matrix computation engine performing row echelon reduction, rank determination, Gauss elimination, and characteristic eigenvalue analysis with quadratic form definiteness.

Interactive 2D Free Body Diagram vector engine modeling equilibrium, normal reaction, and string tension alongside a weighted multi-criteria engineering design decision matrix.

Interactive 1D infinite potential well solver computing discrete energy eigenvalues En, stationary wavefunctions ψn(x), and spatial probability densities |ψn(x)|² across semiconductor heterostructures.

Interactive structural beam analysis engine computing support reactions, piecewise shear force diagrams (SFD), and parabolic bending moment diagrams (BMD) under point and distributed loads.

Real-time B-H hysteresis loop engine computing domain remanence (Br), coercivity (Hc), saturation (Bs), and cyclic thermal dissipation across transformer steels, ferrites, and rare-earth magnets.

Interactive tensile testing simulator calculating engineering stress, strain, Hooke's law elongation, Poisson contraction, ductile vs brittle curves, and structural Factor of Safety (FOS).

Interactive multiple integration lab demonstrating Fubini's change of integration order (Type I vs Type II planar slicing) and polar metric transformations (r dr dθ) on cardioid and circular boundaries.

Interactive scalar field curvature analyzer computing Hessian matrix determinants (Δ = AC - B²), eigenvalues, and 2D contour/3D wireframe projections to classify local minima, maxima, and saddle points.

Interactive transient response and complex s-plane pole trajectory analyzer computing attenuation factor (α), undamped resonant frequency (ω₀), damping ratio (ζ), and capacitor step response across underdamped, critical, and overdamped regimes.

Interactive step response and exponential relaxation simulator for first-order linear ordinary differential equations, modeling RL inductors, RC capacitors, and Newton's law of cooling with real-time 1τ (63.2%) and 5τ settling metrics.

Interactive ray-tracing waveguide engine calculating Snell's law refraction, Total Internal Reflection (TIR), critical angle (θc), numerical aperture (NA), normalized frequency (V-number) single-mode cutoff, and dB link losses.

Dual-mode mechanical stress engine simulating solid/hollow shaft pure torsion shear stress gradient (T/J = τ/r), polar modulus (Zp), power transmission, and thin-walled cylinder circumferential (hoop) vs longitudinal membrane stresses.

Interactive multi-parameter two-port synthesis engine evaluating [Z], [Y], [ABCD], and [h] matrices, reciprocity (AD - BC = 1), symmetry (A = D), T-pad/Pi-pad attenuation, and loaded driving-point impedances.

Interactive rational s-domain transfer function analyzer mapping poles, zeros, and Hurwitz stability to steady-state frequency response Bode curves and transient step damping dynamics.

Interactive immittance synthesis engine expanding Positive Real (PR) LC rational driving-point functions into Cauer I & II ladder networks and Foster I & II tank realizations.

Interactive DC/AC load line engine computing voltage-divider operating point (Q-point), thermal stability factor (S), and dynamic small-signal AC gain with saturation/cutoff waveform clipping.

Interactive 8-decade wideband frequency response visualizer computing low cutoff poles (fLs, fLc, fLe), high cutoff poles via Miller capacitance expansion, fT unity-gain frequency, and Gain-Bandwidth Product.

Interactive Barkhausen criterion laboratory with 4 negative feedback topologies (Series/Shunt) and 5 precision oscillators (Wien Bridge, RC Phase Shift, Colpitts, Hartley, Quartz Crystal) featuring real-time oscilloscope startup transients.

Interactive op-amp laboratory covering linear precision processing (Inverting, Non-Inverting, 3-Op-Amp InAmp with CMRR, Integrator/Differentiator), 2nd-order active Sallen-Key filters, and nonlinear Schmitt triggers / Superdiode precision rectifiers.

Interactive transformer engineering laboratory featuring referred equivalent circuits, interactive phasor diagrams (lagging/unity/leading loads), efficiency vs load fraction curves, and simulated OC/SC test benches.

Interactive power engineering laboratory exploring 3-phase vector groups (Dyn11, Yd1, Yy0), Open-Delta (V-V) emergency capacity derating, Scott-T 3Φ-to-2Φ orthogonal transformation, and Auto-Transformer copper savings.

Interactive DC machine generator laboratory analyzing EMF equations (Lap vs Wave windings), Open-Circuit Characteristic (OCC) self-excitation build-up, critical field resistance (Rc), armature reaction MNA shift, and external load curves.

Interactive DC motor engineering laboratory featuring torque-speed characteristics (Shunt droop vs Series runaway), speed control methods (Field flux weakening & Armature resistance), Ward-Leonard drive, 4-point starter, and virtual Swinburne / Hopkinson test runs.

Interactive electromagnetic field theory laboratory featuring vector field calculus (Divergence ∇·F and Curl ∇×F), electrostatic point charge mapping, equipotential contour generation, and Gauss's law enclosed surface flux integration.

Interactive 2D spatial electrostatic vector field simulator mapping E = -∇V, equipotential contour rings, closed Gaussian surface flux integration (∮ D · dA = Qenc), and dielectric boundary refraction across varying relative permittivities.

Interactive 2D/3D magnetostatic simulation suite exploring the Biot-Savart law for wires, loops, and solenoids, closed Ampèrian loop line integration (∮ H · dL = Ienc), parallel Lorentz wire forces, and magnetic boundary refraction across media interfaces.

Interactive 3D/2D electrodynamic simulation suite demonstrating transverse electromagnetic (TEM) wave propagation, real-time Poynting power vector flow, loss tangent & skin depth penetration in conductors, wave polarization (linear, circular RHCP/LHCP, elliptical), and normal interface reflection/VSWR standing waves.

Interactive control engineering suite demonstrating mathematical modeling of physical systems, Force-Voltage (F-V) and Force-Current (F-I) analogies, canonical block diagram reduction algebra, Mason's gain formula for signal flow graphs, and complex s-plane pole-zero stability mapping.

Comprehensive interactive laboratory suite for DC circuits: series-parallel resistor reduction, voltage & current divider rules, electrical shock & bird on wire safety paradox, bidirectional Star-Delta (Y-Δ) conversion, Faraday dynamic Blv sinθ & static N dΦ/dt induction, and coupled coils with mutual inductance M = k√(L1 L2).

Interactive laboratory suite for AC circuits: sinusoidal waveform generation, RMS and average mid-ordinate decomposition, pure R, L, C and series R-L circuits, rotating phasor vector diagrams, 2f instantaneous power waves, power triangle with capacitor power factor correction, and balanced Star (Y) vs. Delta (Δ) 3:1 power ratio analysis.

Interactive laboratory exploring second-order prototype dynamics (undamped, underdamped, critically damped, and overdamped regimes), transient performance specifications (delay, rise, peak time, %Mp, and settling time), steady-state error (ess) across System Types 0, 1, and 2, and complex s-plane pole placement with dominant pole approximation.

Interactive laboratory exploring system stability criteria (BIBO and asymptotic), the Routh-Hurwitz array builder with special cases (first-column zero and row of zeros / auxiliary polynomials), Evans root locus construction rules with dynamic gain exploration, and allowable s-plane pole placement regions.

Interactive laboratory exploring frequency response techniques (Bode magnitude and phase plots, gain margin, phase margin, crossover frequencies), polar and Nyquist encirclement stability criteria (N = P - Z), state-space canonical representations, State Transition Matrix (STM), and Kalman controllability/observability rank tests.

Interactive laboratory exploring continuous and discrete signal operations (time shifting, time scaling, reversal, amplitude gain), orthogonal even and odd signal decomposition, energy vs. power signal classification with live integral solvers, and 6 core system axiom evaluations (linearity, time invariance, causality, BIBO stability, memory, and invertibility).

Interactive laboratory exploring continuous-time convolution integral y(t) = ∫x(τ)h(t-τ)dτ via the graphical flip-and-shift method with dynamic overlap area shading, discrete-time convolution sum y[n] = ∑x[k]h[n-k] with sliding stem plots, step response derivation s(t) = ∫h(τ)dτ, and LTI causality and BIBO stability criteria.

Interactive laboratory exploring Continuous-Time Fourier Series (CTFS) harmonic synthesis with Gibbs phenomenon analysis, Continuous-Time Fourier Transform (CTFT) time-frequency duality, Discrete-Time Fourier Transform (DTFT) 2π-periodicity, and LTI frequency response H(jω) active filtering.

Interactive multi-domain laboratory exploring continuous s-plane and discrete z-plane pole-zero geometry, Region of Convergence (ROC) topology, BIBO stability theorems, and the conformal mapping z = e^(s Ts).