Amplification Factor for Small Signal MOSFET Model Solution

STEP 0: Pre-Calculation Summary
Formula Used
Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current)
Af = 1/λ*sqrt((2*k'n)/id)
This formula uses 1 Functions, 4 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
Amplification Factor - Amplification factor is measure of the increase in power of an electrical signal as it passes through a device.It is defined as the ratio of the output amplitude or power to the input amplitude.
Electron Mean Free Path - Electron Mean Free Path which represents the average distance an electron can travel without scattering with impurities, defeat, or other obstacles within the solid state device.
Process Transconductance Parameter - (Measured in Ampere per Square Volt) - The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor.
Drain Current - (Measured in Ampere) - Drain current is the current that flows between the drain and the source terminals of a field-effect transistor (FET), which is a type of transistor commonly used in electronic circuits.
STEP 1: Convert Input(s) to Base Unit
Electron Mean Free Path: 2.78 --> No Conversion Required
Process Transconductance Parameter: 2.1 Ampere per Square Volt --> 2.1 Ampere per Square Volt No Conversion Required
Drain Current: 0.08 Milliampere --> 8E-05 Ampere (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Af = 1/λ*sqrt((2*k'n)/id) --> 1/2.78*sqrt((2*2.1)/8E-05)
Evaluating ... ...
Af = 82.4204261682705
STEP 3: Convert Result to Output's Unit
82.4204261682705 --> No Conversion Required
FINAL ANSWER
82.4204261682705 82.42043 <-- Amplification Factor
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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15 Small Signal Analysis Calculators

Small Signal Voltage Gain with respect to Input Resistance
Go Voltage Gain = (Input Amplifier Resistance/(Input Amplifier Resistance+Self Induced Resistance))*((Source Resistance*Output Resistance)/(Source Resistance+Output Resistance))/(1/Transconductance+((Source Resistance*Output Resistance)/(Source Resistance+Output Resistance)))
Gate to Source Voltage with respect to Small Signal Resistance
Go Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))))
Common Drain Output Voltage in Small Signal
Go Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))
Output Voltage of Small Signal P-Channel
Go Output Voltage = Transconductance*Source to Gate Voltage*((Output Resistance*Drain Resistance)/(Drain Resistance+Output Resistance))
Voltage Gain for Small Signal
Go Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance))
Small-Signal Voltage Gain with respect to Drain Resistance
Go Voltage Gain = (Transconductance*((Output Resistance *Drain Resistance)/(Output Resistance+Drain Resistance)))
Output Current of Small Signal
Go Output Current = (Transconductance*Critical Voltage)*(Drain Resistance/(Load Resistance+Drain Resistance))
Input Current of Small Signal
Go Input Current Of Small Signal = (Critical Voltage*((1+Transconductance*Self Induced Resistance)/Self Induced Resistance))
Amplification Factor for Small Signal MOSFET Model
Go Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current)
Transconductance Given Small Signal Parameters
Go Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage)
Gate to Source Voltage in Small Signal
Go Critical Voltage = Input Voltage/(1+Self Induced Resistance*Transconductance)
Voltage Gain using Small Signal
Go Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)
Small Signal Output Voltage
Go Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance
Drain Current of MOSFET Small Signal
Go Drain Current = 1/(Electron Mean Free Path*Output Resistance)
Amplification Factor in Small Signal MOSFET Model
Go Amplification Factor = Transconductance*Output Resistance

Amplification Factor for Small Signal MOSFET Model Formula

Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current)
Af = 1/λ*sqrt((2*k'n)/id)

What is the use of transconductance in MOSFET?

Transconductance is an expression of the performance of a bipolar transistor or field-effect transistor (FET). In general, the larger the transconductance figure for a device, the greater the gain(amplification) it is capable of delivering, when all other factors are held constant.

How to Calculate Amplification Factor for Small Signal MOSFET Model?

Amplification Factor for Small Signal MOSFET Model calculator uses Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current) to calculate the Amplification Factor, The Amplification Factor for Small Signal MOSFET Model is the extent to which an analog amplifier boosts the strength of a signal. It is the ratio of output power to input power in any linear device. Amplification Factor is denoted by Af symbol.

How to calculate Amplification Factor for Small Signal MOSFET Model using this online calculator? To use this online calculator for Amplification Factor for Small Signal MOSFET Model, enter Electron Mean Free Path (λ), Process Transconductance Parameter (k'n) & Drain Current (id) and hit the calculate button. Here is how the Amplification Factor for Small Signal MOSFET Model calculation can be explained with given input values -> 82.42043 = 1/2.78*sqrt((2*2.1)/8E-05).

FAQ

What is Amplification Factor for Small Signal MOSFET Model?
The Amplification Factor for Small Signal MOSFET Model is the extent to which an analog amplifier boosts the strength of a signal. It is the ratio of output power to input power in any linear device and is represented as Af = 1/λ*sqrt((2*k'n)/id) or Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current). Electron Mean Free Path which represents the average distance an electron can travel without scattering with impurities, defeat, or other obstacles within the solid state device, The Process Transconductance Parameter (PTM) is a parameter used in semiconductor device modeling to characterize the performance of a transistor & Drain current is the current that flows between the drain and the source terminals of a field-effect transistor (FET), which is a type of transistor commonly used in electronic circuits.
How to calculate Amplification Factor for Small Signal MOSFET Model?
The Amplification Factor for Small Signal MOSFET Model is the extent to which an analog amplifier boosts the strength of a signal. It is the ratio of output power to input power in any linear device is calculated using Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current). To calculate Amplification Factor for Small Signal MOSFET Model, you need Electron Mean Free Path (λ), Process Transconductance Parameter (k'n) & Drain Current (id). With our tool, you need to enter the respective value for Electron Mean Free Path, Process Transconductance Parameter & Drain Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Amplification Factor?
In this formula, Amplification Factor uses Electron Mean Free Path, Process Transconductance Parameter & Drain Current. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Amplification Factor = Transconductance*Output Resistance
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