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 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 00.006 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Jaipur Engineering College and Research Centre (JECRC), Jaipur

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< Small Signal Analysis Calculators

Output Voltage of Small Signal P-Channel

LaTeX Go Output Voltage = Transconductance*Source to Gate Voltage*((Output Resistance*Drain Resistance)/(Drain Resistance+Output Resistance))

Small-Signal Voltage Gain with respect to Drain Resistance

LaTeX Go Voltage Gain = (Transconductance*((Output Resistance*Drain Resistance)/(Output Resistance+Drain Resistance)))

Transconductance Given Small Signal Parameters

LaTeX Go Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage)

Small Signal Output Voltage

LaTeX Go Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance

< MOSFET Characterstics Calculators

Voltage Gain given Load Resistance of MOSFET

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

Maximum Voltage Gain at Bias Point

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

Voltage Gain given Drain Voltage

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

Maximum Voltage Gain given all Voltages

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

Amplification Factor in Small Signal MOSFET Model Formula

LaTeX Go

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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