MTSimulation labs
Bounded teaching models · hardware untested

Make a prediction.
Interrogate the model.

These labs expose their equations and omissions. They help you reason before a bench test; they do not select parts, certify a circuit, or replace measurements and datasheets.

Current lab

RC transient

Read the supporting lesson →
01

Inputs

Define one ideal RC step

PreviewDefault inputs
02

Model output

Exponential approach

Capacitor voltage over timeA line from the entered initial voltage toward the entered supply voltage over the selected duration.0 ms500 ms5 V0
Voltage approaches the source exponentially. The dashed guide is the entered supply voltage.
RC calculation summary
QuantityValueUnit / meaning
Time constant, τ0.1s = R × C
After 1τ3.161 V63.2% of the voltage step
After 3τ4.751 V95% of the voltage step
Final voltage4.966V
Final stored energy0.001J = ½CV², with C in farads
Numeric graph data (5 representative points)
Voltage and energy samples
QuantityValueUnit / meaning
0 ms00 J
125 ms3.5676.363e-4 J
250 ms4.590.001 J
375 ms4.8820.001 J
500 ms4.9660.001 J

Assumptions

  • V(t) = Vs + (V₀ − Vs)e^(−t/τ).
  • τ = RC, with capacitance converted from µF to F.
  • Exactly 201 evenly spaced samples include both endpoints.

Excluded effects

  • Exact first-order response for one ideal, unloaded resistor-capacitor network only.
  • Excludes capacitor leakage, ESR, component tolerance, wiring, loading, and supply current limits.
  • It does not claim that every circuit containing R and C behaves like this model.
03

Evidence

Predict, observe, keep the mismatch

Unbound notesThese notes are retained as evidence, but are not attached to model parameters and cannot be exported as a report.

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