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)))
Av = (gm*((Rout*Rd)/(Rout+Rd)))
This formula uses 4 Variables
Variables Used
Voltage Gain - Voltage gain is a measure of the amplification of an electrical signal by an amplifier . It is the ratio of the output voltage to the input voltage of the circuit, expressed in decibels (dB).
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.
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: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion ​here)
Output Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion ​here)
Drain Resistance: 11 Ohm --> 11 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Av = (gm*((Rout*Rd)/(Rout+Rd))) --> (0.0005*((4500*11)/(4500+11)))
Evaluating ... ...
Av = 0.00548658833961428
STEP 3: Convert Result to Output's Unit
0.00548658833961428 --> No Conversion Required
FINAL ANSWER
0.00548658833961428 0.005487 <-- Voltage Gain
(Calculation completed in 00.021 seconds)

Credits

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Created by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
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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)))
Av = (gm*((Rout*Rd)/(Rout+Rd)))

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 Av 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 (gm), Output Resistance (Rout) & Drain Resistance (Rd) 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 -> 0.005487 = (0.0005*((4500*11)/(4500+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 Av = (gm*((Rout*Rd)/(Rout+Rd))) or Voltage Gain = (Transconductance*((Output Resistance*Drain Resistance)/(Output Resistance+Drain 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 & 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 (gm), Output Resistance (Rout) & Drain Resistance (Rd). 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 3 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))
  • Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)
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