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MOSFET Threshold Voltage (V_th), Body Effect (γ) & Flatband Voltage Calculator

Easily calculate and compute mosfet threshold voltage (v_th), body effect (γ) & flatband voltage calculator with accurate equations, live formulas, and expert guidance.

SiO2 gate oxide physical thickness in nanometers.

Channel acceptor doping concentration.

Back-gate substrate bias (>= 0).

Gate electrode work function.

Calculated Result
0.38 V

MOSFET Threshold Voltage (V_th)

MOSFET Threshold Voltage (V_th)

0.38 V

Threshold Voltage Vth

0.375

Zero Bias Threshold Vth0

0.375

Body Effect Coefficient Gamma

0.413

Flatband Voltage Vfb

-0.911

0.38 — V

Calculation Breakdown

  1. Applied FormulaCalculates the MOS capacitor flatband voltage, bulk Fermi potential, substrate body effect coefficient (γ), and biased threshold voltage (V_th) for long-channel MOSFET devices.V_{th} = V_{FB} + 2\phi_F + \frac{\sqrt{2q\varepsilon_{si}N_A(2\phi_F + V_{SB})}}{C_{ox}}, \quad C_{ox} = \frac{\varepsilon_{ox}}{t_{ox}}

MOSFET Threshold & Body Effect Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0MOSFET Threshold Voltage (V_th)

What Is the MOSFET Threshold Voltage (V_th), Body Effect (γ) & Flatband Voltage Calculator?

This tool computes mosfet threshold voltage (v_th), body effect (γ) & flatband voltage calculator with high precision arithmetic.

How Does the MOSFET Threshold Voltage (V_th), Body Effect (γ) & Flatband Voltage Calculator Work?

Calculates the MOS capacitor flatband voltage, bulk Fermi potential, substrate body effect coefficient (γ), and biased threshold voltage (V_th) for long-channel MOSFET devices.

MOSFET Threshold Voltage (V_th), Body Effect (γ) & Flatband Voltage Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Vth=VFB+2ϕF+2qεsiNA(2ϕF+VSB)Cox,Cox=εoxtoxV_{th} = V_{FB} + 2\phi_F + \frac{\sqrt{2q\varepsilon_{si}N_A(2\phi_F + V_{SB})}}{C_{ox}}, \quad C_{ox} = \frac{\varepsilon_{ox}}{t_{ox}}

Calculates the MOS capacitor flatband voltage, bulk Fermi potential, substrate body effect coefficient (γ), and biased threshold voltage (V_th) for long-channel MOSFET devices.

How to Use the MOSFET Threshold Voltage (V_th), Body Effect (γ) & Flatband Voltage Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

MOSFET Threshold Voltage (V_th), Body Effect (γ) & Flatband Voltage Calculator Example

Input Values:

gateOxideThicknessNm:3.5
substrateDopingNaPerCm3:500000000000000000
sourceToBodyReverseBiasVsb:0
gateMaterial:n_poly
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required V.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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