Small-Signal Voltage Gain with respect to Drain Resistance Calculator

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✖Transconductance in small signal amplifiers refers to the change in current output for a small change in input voltage. It is a measure of the amplifier's ability to follow small signal variations.ⓘ Transconductance [g_m]			+10% -10%
✖The Output Resistance is the resistance detected at the end output of the transistor.ⓘ Output Resistance [R_out]			+10% -10%
✖Drain Resistance is defined as the resistance opposing the flow of current through the drain of the transistor.ⓘ Drain Resistance [R_d]			+10% -10%

✖The Voltage Gain is the ratio of the output voltage to the input voltage.ⓘ Small-Signal Voltage Gain with respect to Drain Resistance [A_v]

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Formula

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Small-Signal Voltage Gain with respect to Drain Resistance

Formula

`"A"_{"v"} = -("g"_{"m"}*(("R"_{"out"} *"R"_{"d"})/("R"_{"out"}+"R"_{"d"})))`

Example

`"-11.842286"=-("1.57S"*(("24Ω" *"11Ω")/("24Ω"+"11Ω")))`

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Small-Signal Voltage Gain with respect to Drain Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Gain = -(Transconductance*((Output Resistance *Drain Resistance)/(Output Resistance+Drain Resistance)))
A_v = -(g_m*((R_out *R_d)/(R_out+R_d)))
This formula uses 4 Variables

Variables Used

Voltage Gain - The Voltage Gain is the ratio of the output voltage to the input voltage.
Transconductance - (Measured in Siemens) - Transconductance in small signal amplifiers refers to the change in current output for a small change in input voltage. It is a measure of the amplifier's ability to follow small signal variations.
Output Resistance - (Measured in Ohm) - The Output Resistance is the resistance detected at the end output of the transistor.
Drain Resistance - (Measured in Ohm) - Drain Resistance is defined as the resistance opposing the flow of current through the drain of the transistor.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 1.57 Siemens --> 1.57 Siemens No Conversion Required
Output Resistance: 24 Ohm --> 24 Ohm No Conversion Required
Drain Resistance: 11 Ohm --> 11 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = -(g_m*((R_out *R_d)/(R_out+R_d))) --> -(1.57*((24 *11)/(24+11)))

Evaluating ... ...

A_v = -11.8422857142857

STEP 3: Convert Result to Output's Unit

-11.8422857142857 --> No Conversion Required

FINAL ANSWER

-11.8422857142857 ≈ -11.842286 <-- Voltage Gain

(Calculation completed in 00.004 seconds)

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Created by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has created this Calculator and 8 more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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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

Small-Signal Voltage Gain with respect to Drain Resistance Formula

Voltage Gain = -(Transconductance*((Output Resistance *Drain Resistance)/(Output Resistance+Drain Resistance)))
A_v = -(g_m*((R_out *R_d)/(R_out+R_d)))

Why do we calculate voltage gain?

We calculate voltage gain to determine the amplifier's ability to increase the voltage of a signal while maintaining its original amplitude. This is important in audio and electronic circuits, as it helps to ensure that the amplified signal is not distorted or clipped.

How to Calculate Small-Signal Voltage Gain with respect to Drain Resistance?

Small-Signal Voltage Gain with respect to Drain Resistance calculator uses Voltage Gain = -(Transconductance*((Output Resistance *Drain Resistance)/(Output Resistance+Drain Resistance))) to calculate the Voltage Gain, Small-Signal Voltage Gain with respect to Drain Resistance is a measure of the amplifier's ability to amplify small signals while minimizing distortion. It is defined as the ratio of the output voltage to the input voltage for a small signal input. Voltage Gain is denoted by A_v symbol.

How to calculate Small-Signal Voltage Gain with respect to Drain Resistance using this online calculator? To use this online calculator for Small-Signal Voltage Gain with respect to Drain Resistance, enter Transconductance (g_m), Output Resistance (R_out) & Drain Resistance (R_d) and hit the calculate button. Here is how the Small-Signal Voltage Gain with respect to Drain Resistance calculation can be explained with given input values -> -113.142857 = -(1.57*((24 *11)/(24+11))).

FAQ

What is Small-Signal Voltage Gain with respect to Drain Resistance?

Small-Signal Voltage Gain with respect to Drain Resistance is a measure of the amplifier's ability to amplify small signals while minimizing distortion. It is defined as the ratio of the output voltage to the input voltage for a small signal input and is represented as A_v = -(g_m*((R_out *R_d)/(R_out+R_d))) or Voltage Gain = -(Transconductance*((Output Resistance *Drain Resistance)/(Output Resistance+Drain Resistance))). Transconductance in small signal amplifiers refers to the change in current output for a small change in input voltage. It is a measure of the amplifier's ability to follow small signal variations, The Output Resistance is the resistance detected at the end output of the transistor & Drain Resistance is defined as the resistance opposing the flow of current through the drain of the transistor.

How to calculate Small-Signal Voltage Gain with respect to Drain Resistance?

Small-Signal Voltage Gain with respect to Drain Resistance is a measure of the amplifier's ability to amplify small signals while minimizing distortion. It is defined as the ratio of the output voltage to the input voltage for a small signal input is calculated using Voltage Gain = -(Transconductance*((Output Resistance *Drain Resistance)/(Output Resistance+Drain Resistance))). To calculate Small-Signal Voltage Gain with respect to Drain Resistance, you need Transconductance (g_m), Output Resistance (R_out) & Drain Resistance (R_d). With our tool, you need to enter the respective value for Transconductance, Output Resistance & Drain 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 Voltage Gain?

In this formula, Voltage Gain uses Transconductance, Output Resistance & Drain Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)))
Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance))

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