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MOSFET Transconductance given Oxide Capacitance Formula

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Transconductance in MOSFET is a key parameter that describes the relationship between the input voltage and the output current. Check FAQs

g m = \sqrt{2 \cdot μ n \cdot C ox \cdot (\frac{W t}{L t}) \cdot I d}

g_m - Transconductance in MOSFET?μ_n - Electron Mobility?C_ox - Oxide Capacitance?W_t - Transistor's Width?L_t - Transistor's Length?I_d - Drain Current?

MOSFET Transconductance given Oxide Capacitance Example

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Here is how the MOSFET Transconductance given Oxide Capacitance equation looks like with Values.

Here is how the MOSFET Transconductance given Oxide Capacitance equation looks like with Units.

Here is how the MOSFET Transconductance given Oxide Capacitance equation looks like.

2.2866 = \sqrt{2 \cdot 30 \cdot 3.9 \cdot (\frac{5.5}{3.2}) \cdot 0.013}

2.2866S = \sqrt{2 \cdot 30m²/V*s \cdot 3.9F \cdot (\frac{5.5μm}{3.2μm}) \cdot 0.013A}

2.2866 = \sqrt{2 \cdot 30 \cdot 3.9 \cdot (\frac{5.5}{3.2}) \cdot 0.013}

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MOSFET Transconductance given Oxide Capacitance Solution

Follow our step by step solution on how to calculate MOSFET Transconductance given Oxide Capacitance?

FIRST Step Consider the formula

g m = \sqrt{2 \cdot μ n \cdot C ox \cdot (\frac{W t}{L t}) \cdot I d}

Next Step Substitute values of Variables

∴

g m = \sqrt{2 \cdot 30m²/V*s \cdot 3.9F \cdot (\frac{5.5μm}{3.2μm}) \cdot 0.013A}

Next Step Convert Units

∴

g m = \sqrt{2 \cdot 30m²/V*s \cdot 3.9F \cdot (\frac{5.5E-6m}{3.2E-6m}) \cdot 0.013A}

Next Step Prepare to Evaluate

∴

g m = \sqrt{2 \cdot 30 \cdot 3.9 \cdot (\frac{5.5E-6}{3.2E-6}) \cdot 0.013}

Next Step Evaluate

∴

g m = 2.28657768291392S

LAST Step Rounding Answer

∴

g m = 2.2866S

MOSFET Transconductance given Oxide Capacitance Formula Elements

Variables

Functions

Transconductance in MOSFET

Transconductance in MOSFET is a key parameter that describes the relationship between the input voltage and the output current.

Symbol: g_m

Measurement: Electric ConductanceUnit: S

Note: Value can be positive or negative.

Formulas to find Transconductance in MOSFET

Open Variable

Electron Mobility

Electron Mobility describes how quickly electrons can move through the material in response to an electric field.

Symbol: μ_n

Measurement: MobilityUnit: m²/V*s

Note: Value should be greater than 0.

Formulas to find Electron Mobility

Open Variable

Oxide Capacitance

Oxide Capacitance refers to the capacitance associated with the insulating oxide layer in a Metal-Oxide-Semiconductor (MOS) structure, such as in MOSFETs.

Symbol: C_ox

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Oxide Capacitance

Open Variable

Transistor's Width

Transistor's Width refers to the width of the channel region in a MOSFET. This dimension plays a crucial role in determining the electrical characteristics and performance of the transistor.

Symbol: W_t

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Transistor's Width

Open Variable

Transistor's Length

Transistor's Length refers to the length of the channel region in a MOSFET. This dimension plays a crucial role in determining the electrical characteristics and performance of the transistor.

Symbol: L_t

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Transistor's Length

Open Variable

Drain Current

Drain Current refers to the current flowing between the drain and source terminals of the transistor when it's in operation.

Symbol: I_d

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Drain Current

Open Variable

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in MOSFET Characterstics category

Go Maximum Voltage Gain at Bias Point

A vm = 2 \cdot \frac{V dd - V eff}{V eff}

Go Maximum Voltage Gain given all Voltages

A vm = \frac{V dd - 0.3}{V t}

Go Voltage Gain given Drain Voltage

A v = \frac{i d \cdot R L \cdot 2}{V eff}

Go Voltage Gain given Load Resistance of MOSFET

A v = g m \cdot \frac{\frac{1}{\frac{1}{R L} + \frac{1}{R out}}}{1 + g m \cdot R s}

See More

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How to Evaluate MOSFET Transconductance given Oxide Capacitance?

MOSFET Transconductance given Oxide Capacitance evaluator uses Transconductance in MOSFET = sqrt(2*Electron Mobility*Oxide Capacitance*(Transistor's Width/Transistor's Length)*Drain Current) to evaluate the Transconductance in MOSFET, The MOSFET Transconductance given Oxide Capacitance formula is defined as a key parameter that describes the relationship between the input voltage and the output current. Transconductance in MOSFET is denoted by g_m symbol.

How to evaluate MOSFET Transconductance given Oxide Capacitance using this online evaluator? To use this online evaluator for MOSFET Transconductance given Oxide Capacitance, enter Electron Mobility (μ_n), Oxide Capacitance (C_ox), Transistor's Width (W_t), Transistor's Length (L_t) & Drain Current (I_d) and hit the calculate button.

FAQs on MOSFET Transconductance given Oxide Capacitance

What is the formula to find MOSFET Transconductance given Oxide Capacitance?

The formula of MOSFET Transconductance given Oxide Capacitance is expressed as Transconductance in MOSFET = sqrt(2*Electron Mobility*Oxide Capacitance*(Transistor's Width/Transistor's Length)*Drain Current). Here is an example- 7.230794 = sqrt(2*30*3.9*(5.5E-06/3.2E-06)*0.013).

How to calculate MOSFET Transconductance given Oxide Capacitance?

With Electron Mobility (μ_n), Oxide Capacitance (C_ox), Transistor's Width (W_t), Transistor's Length (L_t) & Drain Current (I_d) we can find MOSFET Transconductance given Oxide Capacitance using the formula - Transconductance in MOSFET = sqrt(2*Electron Mobility*Oxide Capacitance*(Transistor's Width/Transistor's Length)*Drain Current). This formula also uses Square Root (sqrt) function(s).

Can the MOSFET Transconductance given Oxide Capacitance be negative?

Yes, the MOSFET Transconductance given Oxide Capacitance, measured in Electric Conductance can be negative.

Which unit is used to measure MOSFET Transconductance given Oxide Capacitance?

MOSFET Transconductance given Oxide Capacitance is usually measured using the Siemens[S] for Electric Conductance. Megasiemens[S], Millisiemens[S], Mho[S] are the few other units in which MOSFET Transconductance given Oxide Capacitance can be measured.

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