Volt - Electronics Lab Results

The computed output of the Volt circuits lab. DC network values, the Kirchhoff mesh solution and AC reactances are calculated live at build time - the mesh currents come from Mathematics.LinearAlgebra.LuDecomposition.Solve and the AC phasors from Mathematics.Fast.Math (OcMath / OcComplex).

DC circuit fundamentals

QuantityInputsResult
Ohm's law V = I RI = 2 A, R = 10 ohm20 V
Series Req4 + 6 + 10 ohm20 ohm
Parallel Req6 || 3 || 2 ohm1 ohm
Voltage dividerVin=12 V, R1=8, R2=44 V
Power P = I^2 RI = 3 A, R = 4 ohm36 W

Kirchhoff 2-mesh network (solved by LU decomposition)

R1 = 2 ohm, R2 = 3 ohm (shared), R3 = 4 ohm; sources V1 = 10 V, V2 = 5 V. The mesh-resistance system A x = b is solved by LuDecomposition.Solve.

Mesh currentValue
I13.2692 A
I22.1154 A
Branch I_R2 = I1 - I21.1538 A

AC reactance, impedance and resonance

QuantityInputsResult
Capacitive reactance Xcf = 1 kHz, C = 1 uF159.155 ohm
Inductive reactance Xlf = 1 kHz, L = 10 mH62.832 ohm
LC resonant frequency f0L = 50 mH, C = 0.5 uF1006.58 Hz
RMS from peakpeak = 10 V7.071 V