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MOSFET Transconductance using Process Transconductance Parameter Formula

GoProcess Transconductance given Transconductance and Drain Current Formula

GoMOSFET Transconductance using Process Transconductance Parameter and Overdrive Voltage Formula

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The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor. Check FAQs

k' n = \frac{g m}{WL \cdot (V gs - V th)}

k'_n - Process Transconductance Parameter?g_m - Transconductance?WL - Aspect Ratio?V_gs - Gate-Source Voltage?V_th - Threshold Voltage?

MOSFET Transconductance using Process Transconductance Parameter Example

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Here is how the MOSFET Transconductance using Process Transconductance Parameter equation looks like with Values.

Here is how the MOSFET Transconductance using Process Transconductance Parameter equation looks like with Units.

Here is how the MOSFET Transconductance using Process Transconductance Parameter equation looks like.

0.0156 = \frac{0.5}{0.1 \cdot (4 - 3.68)}

0.0156A/V² = \frac{0.5mS}{0.1 \cdot (4V - 3.68V)}

0.0156 = \frac{0.5}{0.1 \cdot (4 - 3.68)}

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MOSFET Transconductance using Process Transconductance Parameter Solution

Follow our step by step solution on how to calculate MOSFET Transconductance using Process Transconductance Parameter?

FIRST Step Consider the formula

k' n = \frac{g m}{WL \cdot (V gs - V th)}

Next Step Substitute values of Variables

∴

k' n = \frac{0.5mS}{0.1 \cdot (4V - 3.68V)}

Next Step Convert Units

∴

k' n = \frac{0.0005S}{0.1 \cdot (4V - 3.68V)}

Next Step Prepare to Evaluate

∴

k' n = \frac{0.0005}{0.1 \cdot (4 - 3.68)}

Next Step Evaluate

∴

k' n = 0.015625A/V²

LAST Step Rounding Answer

∴

k' n = 0.0156A/V²

MOSFET Transconductance using Process Transconductance Parameter Formula Elements

Variables

Process Transconductance Parameter

The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.

Symbol: k'_n

Measurement: Transconductance ParameterUnit: A/V²

Note: Value can be positive or negative.

Formulas to find Process Transconductance Parameter

Transconductance

Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Aspect Ratio

Aspect ratio is defined as the ratio of the width of the transistor's channel to its length. It is the ratio of the width of the gate to the distance btw the source & drain regions of the transistor.

Symbol: WL

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Aspect Ratio

Gate-Source Voltage

Gate-source voltage is a critical parameter that affects the operation of an FET, and it is often used to control the device's behavior.

Symbol: V_gs

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Gate-Source Voltage

Threshold Voltage

Threshold voltage, also known as the gate threshold voltage or simply Vth, is a critical parameter in the operation of field-effect transistors, which are fundamental components in modern electronics.

Symbol: V_th

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Threshold Voltage

Other Formulas to find Process Transconductance Parameter

Go Process Transconductance given Transconductance and Drain Current

k' n = \frac{{g m}^{2}}{2 \cdot WL \cdot i d}

Go MOSFET Transconductance using Process Transconductance Parameter and Overdrive Voltage

k' n = \frac{g m}{WL \cdot V ov}

Other formulas in Transconductance category

Go Drain Current using Transconductance

i d = (V ov) \cdot \frac{g m}{2}

Go Transconductance given Drain Current

g m = \sqrt{2 \cdot k' n \cdot WL \cdot i d}

Go Transconductance given Process Transconductance Parameter

g m = k' n \cdot WL \cdot (V gs - V th)

Go Transconductance using Process Transconductance Parameter and Overdrive Voltage

g m = k' n \cdot WL \cdot V ov

How to Evaluate MOSFET Transconductance using Process Transconductance Parameter?

MOSFET Transconductance using Process Transconductance Parameter evaluator uses Process Transconductance Parameter = Transconductance/(Aspect Ratio*(Gate-Source Voltage-Threshold Voltage)) to evaluate the Process Transconductance Parameter, The MOSFET Transconductance using Process Transconductance Parameter is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage. Process Transconductance Parameter is denoted by k'_n symbol.

How to evaluate MOSFET Transconductance using Process Transconductance Parameter using this online evaluator? To use this online evaluator for MOSFET Transconductance using Process Transconductance Parameter, enter Transconductance (g_m), Aspect Ratio (WL), Gate-Source Voltage (V_gs) & Threshold Voltage (V_th) and hit the calculate button.

FAQs on MOSFET Transconductance using Process Transconductance Parameter

What is the formula to find MOSFET Transconductance using Process Transconductance Parameter?

The formula of MOSFET Transconductance using Process Transconductance Parameter is expressed as Process Transconductance Parameter = Transconductance/(Aspect Ratio*(Gate-Source Voltage-Threshold Voltage)). Here is an example- 0.015625 = 0.0005/(0.1*(4-3.68)).

How to calculate MOSFET Transconductance using Process Transconductance Parameter?

With Transconductance (g_m), Aspect Ratio (WL), Gate-Source Voltage (V_gs) & Threshold Voltage (V_th) we can find MOSFET Transconductance using Process Transconductance Parameter using the formula - Process Transconductance Parameter = Transconductance/(Aspect Ratio*(Gate-Source Voltage-Threshold Voltage)).

What are the other ways to Calculate Process Transconductance Parameter?

Here are the different ways to Calculate Process Transconductance Parameter-

Process Transconductance Parameter=Transconductance^2/(2*Aspect Ratio*Drain Current)
Process Transconductance Parameter=Transconductance/(Aspect Ratio*Overdrive Voltage)

Can the MOSFET Transconductance using Process Transconductance Parameter be negative?

Yes, the MOSFET Transconductance using Process Transconductance Parameter, measured in Transconductance Parameter can be negative.

Which unit is used to measure MOSFET Transconductance using Process Transconductance Parameter?

MOSFET Transconductance using Process Transconductance Parameter is usually measured using the Ampere per Square Volt[A/V²] for Transconductance Parameter. Milliampere per Square Volt[A/V²], Microampere per Square Volt[A/V²] are the few other units in which MOSFET Transconductance using Process Transconductance Parameter can be measured.

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MOSFET Transconductance using Process Transconductance Parameter Formula

​GoProcess Transconductance given Transconductance and Drain Current Formula

​GoMOSFET Transconductance using Process Transconductance Parameter and Overdrive Voltage Formula

MOSFET Transconductance using Process Transconductance Parameter Example

MOSFET Transconductance using Process Transconductance Parameter Solution

MOSFET Transconductance using Process Transconductance Parameter Formula Elements

Other Formulas to find Process Transconductance Parameter

Other formulas in Transconductance category

How to Evaluate MOSFET Transconductance using Process Transconductance Parameter?

FAQs on MOSFET Transconductance using Process Transconductance Parameter

Variable Name

GoProcess Transconductance given Transconductance and Drain Current Formula

GoMOSFET Transconductance using Process Transconductance Parameter and Overdrive Voltage Formula