Voltage Gain using Small Signal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)
Av = gm*1/(1/RL+1/Rfi)
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.
Load Resistance - (Measured in Ohm) - Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.
Finite Resistance - (Measured in Ohm) - A finite resistance simply means that the resistance in a circuit is not infinite or zero. In other words, the circuit has some amount of resistance, which can affect the behavior of the circuit.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Load Resistance: 0.28 Kilohm --> 280 Ohm (Check conversion here)
Finite Resistance: 0.065 Kilohm --> 65 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Av = gm*1/(1/RL+1/Rfi) --> 0.0005*1/(1/280+1/65)
Evaluating ... ...
Av = 0.0263768115942029
STEP 3: Convert Result to Output's Unit
0.0263768115942029 --> No Conversion Required
FINAL ANSWER
0.0263768115942029 0.026377 <-- Voltage Gain
(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

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

Voltage Gain using Small Signal Formula

Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)
Av = gm*1/(1/RL+1/Rfi)

What is voltage gain?

The difference between the output signal voltage level in decibels and the input signal voltage level in decibels; this value is equal to 20 times the common logarithm of the ratio of the output voltage to the input voltage.

How to Calculate Voltage Gain using Small Signal?

Voltage Gain using Small Signal calculator uses Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance) to calculate the Voltage Gain, The Voltage gain using small signal formula is defined as the amount of voltage that an electronic device needs in order to power on and function. Voltage Gain is denoted by Av symbol.

How to calculate Voltage Gain using Small Signal using this online calculator? To use this online calculator for Voltage Gain using Small Signal, enter Transconductance (gm), Load Resistance (RL) & Finite Resistance (Rfi) and hit the calculate button. Here is how the Voltage Gain using Small Signal calculation can be explained with given input values -> 0.026377 = 0.0005*1/(1/280+1/65).

FAQ

What is Voltage Gain using Small Signal?
The Voltage gain using small signal formula is defined as the amount of voltage that an electronic device needs in order to power on and function and is represented as Av = gm*1/(1/RL+1/Rfi) or Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite 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, Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage & A finite resistance simply means that the resistance in a circuit is not infinite or zero. In other words, the circuit has some amount of resistance, which can affect the behavior of the circuit.
How to calculate Voltage Gain using Small Signal?
The Voltage gain using small signal formula is defined as the amount of voltage that an electronic device needs in order to power on and function is calculated using Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance). To calculate Voltage Gain using Small Signal, you need Transconductance (gm), Load Resistance (RL) & Finite Resistance (Rfi). With our tool, you need to enter the respective value for Transconductance, Load Resistance & Finite 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, Load Resistance & Finite Resistance. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Voltage Gain = (Transconductance*((Output Resistance *Drain Resistance)/(Output Resistance+Drain Resistance)))
  • 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 = (Drain Current*Load Resistance*2)/Effective Voltage
  • Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance)
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