## MOSFET Transconductance given Oxide Capacitance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transconductance in MOSFET = sqrt(2*Electron Mobility*Oxide Capacitance*(Transistor's Width/Transistor's Length)*Drain Current)
gm = sqrt(2*μn*Cox*(Wt/Lt)*Id)
This formula uses 1 Functions, 6 Variables
Functions Used
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., sqrt(Number)
Variables Used
Transconductance in MOSFET - (Measured in Siemens) - Transconductance in MOSFET is a key parameter that describes the relationship between the input voltage and the output current.
Electron Mobility - (Measured in Square Meter per Volt per Second) - Electron Mobility describes how quickly electrons can move through the material in response to an electric field.
Oxide Capacitance - (Measured in Farad) - Oxide Capacitance refers to the capacitance associated with the insulating oxide layer in a Metal-Oxide-Semiconductor (MOS) structure, such as in MOSFETs.
Transistor's Width - (Measured in Meter) - 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.
Transistor's Length - (Measured in Meter) - 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.
Drain Current - (Measured in Ampere) - Drain Current refers to the current flowing between the drain and source terminals of the transistor when it's in operation.
STEP 1: Convert Input(s) to Base Unit
Electron Mobility: 30 Square Meter per Volt per Second --> 30 Square Meter per Volt per Second No Conversion Required
Transistor's Width: 5.5 Micrometer --> 5.5E-06 Meter (Check conversion ​here)
Transistor's Length: 3.2 Micrometer --> 3.2E-06 Meter (Check conversion ​here)
Drain Current: 0.013 Ampere --> 0.013 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gm = sqrt(2*μn*Cox*(Wt/Lt)*Id) --> sqrt(2*30*3.9*(5.5E-06/3.2E-06)*0.013)
Evaluating ... ...
gm = 2.28657768291392
STEP 3: Convert Result to Output's Unit
2.28657768291392 Siemens --> No Conversion Required
2.28657768291392 2.286578 Siemens <-- Transconductance in MOSFET
(Calculation completed in 00.004 seconds)
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Created by banuprakash
Dayananda Sagar College of Engineering (DSCE), Bangalore
banuprakash has created this Calculator and 50+ more calculators!
Dayananda Sagar College Of Engineering (DSCE), Banglore
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## <MOSFET Characterstics Calculators

Voltage Gain given Load Resistance of MOSFET
​ Go Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance)
Maximum Voltage Gain at Bias Point
​ Go Maximum Voltage Gain = 2*(Supply Voltage-Effective Voltage)/(Effective Voltage)
Voltage Gain given Drain Voltage
​ Go Voltage Gain = (Drain Current*Load Resistance*2)/Effective Voltage
Maximum Voltage Gain given all Voltages
​ Go Maximum Voltage Gain = (Supply Voltage-0.3)/Thermal Voltage

## MOSFET Transconductance given Oxide Capacitance Formula

Transconductance in MOSFET = sqrt(2*Electron Mobility*Oxide Capacitance*(Transistor's Width/Transistor's Length)*Drain Current)
gm = sqrt(2*μn*Cox*(Wt/Lt)*Id)

## Why is Transconductance Important in MOSFETs?

Transconductance is a crucial parameter in MOSFET-based circuits because it determines the gain of the transistor. Higher transconductance generally leads to higher amplification, making it an essential factor in the design of amplifiers and other signal processing circuits.

## How to Calculate MOSFET Transconductance given Oxide Capacitance?

MOSFET Transconductance given Oxide Capacitance calculator uses Transconductance in MOSFET = sqrt(2*Electron Mobility*Oxide Capacitance*(Transistor's Width/Transistor's Length)*Drain Current) to calculate 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 gm symbol.

How to calculate MOSFET Transconductance given Oxide Capacitance using this online calculator? To use this online calculator for MOSFET Transconductance given Oxide Capacitance, enter Electron Mobility n), Oxide Capacitance (Cox), Transistor's Width (Wt), Transistor's Length (Lt) & Drain Current (Id) and hit the calculate button. Here is how the MOSFET Transconductance given Oxide Capacitance calculation can be explained with given input values -> 7.230794 = sqrt(2*30*3.9*(5.5E-06/3.2E-06)*0.013).

### FAQ

What is MOSFET Transconductance given Oxide Capacitance?
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 and is represented as gm = sqrt(2*μn*Cox*(Wt/Lt)*Id) or Transconductance in MOSFET = sqrt(2*Electron Mobility*Oxide Capacitance*(Transistor's Width/Transistor's Length)*Drain Current). Electron Mobility describes how quickly electrons can move through the material in response to an electric field, Oxide Capacitance refers to the capacitance associated with the insulating oxide layer in a Metal-Oxide-Semiconductor (MOS) structure, such as in MOSFETs, 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, 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 & Drain Current refers to the current flowing between the drain and source terminals of the transistor when it's in operation.
How to calculate MOSFET Transconductance given Oxide Capacitance?
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 is calculated using Transconductance in MOSFET = sqrt(2*Electron Mobility*Oxide Capacitance*(Transistor's Width/Transistor's Length)*Drain Current). To calculate MOSFET Transconductance given Oxide Capacitance, you need Electron Mobility n), Oxide Capacitance (Cox), Transistor's Width (Wt), Transistor's Length (Lt) & Drain Current (Id). With our tool, you need to enter the respective value for Electron Mobility, Oxide Capacitance, Transistor's Width, Transistor's Length & Drain Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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