Amplification Factor in Small Signal MOSFET Model Calculator

✖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.ⓘ Transconductance [g_m]			+10% -10%
✖Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.ⓘ Output Resistance [R_out]			+10% -10%

✖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.ⓘ Amplification Factor in Small Signal MOSFET Model [A_f]

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Amplification Factor in Small Signal MOSFET Model

Formula

`"A"_{"f"} = "g"_{"m"}*"R"_{"out"}`

Example

`"2.25"="0.5mS"*"4.5kΩ"`

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Amplification Factor in Small Signal MOSFET Model Solution

STEP 0: Pre-Calculation Summary

Formula Used

Amplification Factor = Transconductance*Output Resistance
A_f = g_m*R_out
This formula uses 3 Variables

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.
Transconductance - (Measured in Siemens) - 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.
Output Resistance - (Measured in Ohm) - Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Output Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_f = g_m*R_out --> 0.0005*4500

Evaluating ... ...

A_f = 2.25

STEP 3: Convert Result to Output's Unit

2.25 --> No Conversion Required

FINAL ANSWER

2.25 <-- Amplification Factor

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

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

< 15 MOSFET Characterstics Calculators

Conductance of Channel of MOSFET using Gate to Source Voltage

Go Conductance of Channel = Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width/Channel Length*(Gate-Source Voltage-Threshold Voltage)

Voltage Gain given Load Resistance of MOSFET

Go Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance)

Transition Frequency of MOSFET

Go Transition Frequency = Transconductance/(2*pi*(Source Gate Capacitance+Gate-Drain Capacitance))

Maximum Voltage Gain at Bias Point

Go Maximum Voltage Gain = 2*(Supply Voltage-Effective Voltage)/(Effective Voltage)

Voltage Gain using Small Signal

Go Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)

Gate to Source Channel Width of MOSFET

Go Channel Width = Overlap Capacitance/(Oxide Capacitance*Overlap Length)

Voltage Gain given Drain Voltage

Go Voltage Gain = (Drain Current*Load Resistance*2)/Effective Voltage

Body Effect on Transconductance

Go Body Transconductance = Change in Threshold to Base Voltage*Transconductance

Saturation Voltage of MOSFET

Go Drain and Source Saturation Voltage = Gate-Source Voltage-Threshold Voltage

Bias Voltage of MOSFET

Go Total Instantaneous Bias Voltage = DC Bias Voltage+DC Voltage

Maximum Voltage Gain given all Voltages

Go Maximum Voltage Gain = (Supply Voltage-0.3)/Thermal Voltage

Amplification Factor in Small Signal MOSFET Model

Go Amplification Factor = Transconductance*Output Resistance

Treshold Voltage of MOSFET

Go Threshold Voltage = Gate-Source Voltage-Effective Voltage

Transconductance in MOSFET

Go Transconductance = (2*Drain Current)/Overdrive Voltage

Conductance in Linear Resistance of MOSFET

Go Conductance of Channel = 1/Linear Resistance

Amplification Factor in Small Signal MOSFET Model Formula

Amplification Factor = Transconductance*Output Resistance
A_f = g_m*R_out

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 in Small Signal MOSFET Model?

Amplification Factor in Small Signal MOSFET Model calculator uses Amplification Factor = Transconductance*Output Resistance to calculate the Amplification Factor, The Amplification Factor in Small Signal MOSFET Model formula represents the ratio of the output signal amplitude to the input signal amplitude. It is a measure of the degree to which an electronic device amplifies an electrical signal. Amplification Factor is denoted by A_f symbol.

How to calculate Amplification Factor in Small Signal MOSFET Model using this online calculator? To use this online calculator for Amplification Factor in Small Signal MOSFET Model, enter Transconductance (g_m) & Output Resistance (R_out) and hit the calculate button. Here is how the Amplification Factor in Small Signal MOSFET Model calculation can be explained with given input values -> 2.25 = 0.0005*4500.

FAQ

What is Amplification Factor in Small Signal MOSFET Model?

The Amplification Factor in Small Signal MOSFET Model formula represents the ratio of the output signal amplitude to the input signal amplitude. It is a measure of the degree to which an electronic device amplifies an electrical signal and is represented as A_f = g_m*R_out or Amplification Factor = Transconductance*Output Resistance. 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 & Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.

How to calculate Amplification Factor in Small Signal MOSFET Model?

The Amplification Factor in Small Signal MOSFET Model formula represents the ratio of the output signal amplitude to the input signal amplitude. It is a measure of the degree to which an electronic device amplifies an electrical signal is calculated using Amplification Factor = Transconductance*Output Resistance. To calculate Amplification Factor in Small Signal MOSFET Model, you need Transconductance (g_m) & Output Resistance (R_out). With our tool, you need to enter the respective value for Transconductance & Output Resistance 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 Transconductance & Output Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current)

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