3-Omega Signal Calculator

Total Wire Resistance (R₀) [Ω]

Wire Length (L) [mm]

Wire Width (2b) [mm]

Thermal Coeff. of Resistance (α) [1/K]

Substrate Thermal Conductivity (κₛ) [W/mK]

Substrate Thickness (dₛ) [mm]

Substrate Thermal Diffusivity (Dₛ) [mm²/s]

Heating Current (I₀) [A, peak]

Substrate Boundary Condition

Plot Min Frequency (Hz)

Plot Max Frequency (Hz)

Checked logarithmic range

Longest sampled interval with ≤1% complex-response deviation from the strip asymptote and ≤2% slope deviation. Bounds are limited to the simulated sweep.

Min Frequency (f_min): N/A Hz

Max Frequency (f_max): N/A Hz

Average heating power (P/L): N/A W/m

Uniform-strip, width-averaged, linear thermal model. ΔT is a peak complex amplitude; V₃ is RMS. The exp(+i2ωt) convention gives a negative imaginary response. No statistical input uncertainties are included.