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Mosfet Calculation

MOSFET Gate-Source Voltage Equation:

\[ V_{gs} = V_{th} + \sqrt{\frac{2 I_d}{k}} \]

V
A
A/V²

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1. What is the MOSFET Gate-Source Voltage Equation?

The MOSFET gate-source voltage equation calculates the required voltage between gate and source terminals to achieve a specific drain current, given the transistor's threshold voltage and transconductance parameter.

2. How Does the Calculator Work?

The calculator uses the MOSFET equation:

\[ V_{gs} = V_{th} + \sqrt{\frac{2 I_d}{k}} \]

Where:

Explanation: The equation shows that the required gate voltage increases with the square root of the desired drain current and decreases with higher transconductance.

3. Importance of Vgs Calculation

Details: Accurate Vgs calculation is crucial for designing MOSFET circuits, ensuring proper transistor operation in saturation region, and predicting circuit behavior.

4. Using the Calculator

Tips: Enter threshold voltage in volts, drain current in amperes, and transconductance parameter in A/V². All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for threshold voltage?
A: For enhancement-mode MOSFETs, Vth typically ranges from 0.5V to 5V depending on the device type.

Q2: How is the transconductance parameter (k) determined?
A: k is device-specific and can be found in the MOSFET datasheet. It's calculated as μnCox(W/L).

Q3: Does this equation work for all MOSFET operating regions?
A: This equation is valid for the saturation region only. For linear/triode region, a different equation applies.

Q4: What are common units for transconductance parameter?
A: Typically mA/V² for small-signal devices, or A/V² for power MOSFETs.

Q5: How does temperature affect this calculation?
A: Threshold voltage decreases with temperature (about -2mV/°C), which should be considered for precision applications.

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