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MOSFET Threshold Voltage from Operating Point Calculator — result sheet
Estimate an ideal n-channel MOSFET threshold voltage from a measured or specified drain current, square-law parameter, and gate-to-source voltage.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For the saturation-only square-law convention ID=½kVov², solve Vov=√(2ID/k), then Vth=VGS−Vov; the saturation boundary is VDS≥Vov and gm=kVov.
This inverse form starts with a current operating point and solves the ideal square-law model for the overdrive and threshold voltage. It uses the same k convention stated by the forward MOSFET operating-point calculator, so the two pages can be checked against one another without silently changing the factor of one half.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Drain current ID — A; minimum 0; maximum 1000000
- Square-law parameter k — A/V²; Use the convention ID = ½k(VGS−Vth)² in saturation.; minimum 1.0E-6; maximum 1000000
- Gate-to-source voltage VGS — V; minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Drain current ID | 1 |
| Square-law parameter k | 0.5 |
| Gate-to-source voltage VGS | 4 |
Vov = 2 V, so the inferred ideal threshold is Vth = 2 V; the saturation boundary begins at VDS = 2 V and gm = 1 S.
Assumptions and limits
- The device is treated as an n-channel enhancement MOSFET operating in the ideal saturation branch.
- The entered k uses ID=½k(VGS−Vth)² in saturation; datasheet parameters with another convention must be converted first.
- Drain current is nonnegative, k is positive, and all voltages use volts.
- The result is an inferred model threshold for the supplied point, not a direct semiconductor measurement or a guaranteed datasheet value.
- Channel-length modulation, body effect, temperature, leakage, mobility degradation, series resistance, noise, and device limits are not modeled.
- A real design still needs a device datasheet, bias range, thermal analysis, and qualified review.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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