Advanced JFET Threshold Voltage Calculator

Formula Used

The calculation of the JFET threshold voltage depends on channel doping concentration, material properties, and geometry dimensions. The primary equations implemented are:

• Pinch-Off Voltage ($V_p$): $$V_p = \frac{q N_d a^2}{2 \epsilon_s}$$ where $q$ is the elementary charge, $N_d$ is the doping concentration, $a$ is the channel half-thickness, and $\epsilon_s$ is the semiconductor permittivity.
• Built-In Potential ($V_{bi}$): $$V_{bi} = V_t \ln\left(\frac{N_d}{n_i}\right)$$ where $V_t$ is the thermal voltage and $n_i$ is the intrinsic carrier concentration.
• Threshold Voltage ($V_{to}$): $$V_{to} = V_p - V_{bi}$$

How to Use This Calculator

1. Select your base semiconductor material from the dropdown or input custom permittivity and intrinsic concentration values.
2. Input the channel half-thickness value in centimeters (e.g., standard micrometers formatted in scientific notation like 1e-4).
3. Specify the channel donor doping concentration ($N_d$) in inverse cubic centimeters.
4. Click the calculate button to instantly review detailed voltage outputs above the form layout.