Voltage Gain using Small Signal 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%
✖Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.ⓘ Load Resistance [R_L]			+10% -10%
✖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.ⓘ Finite Resistance [R_fi]			+10% -10%

✖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).ⓘ Voltage Gain using Small Signal [A_v]

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Formula

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Voltage Gain using Small Signal

Formula

A v = g m \cdot \frac{1}{\frac{1}{R L} + \frac{1}{R fi}}

Example

0.026377 = 0.5 mS \cdot \frac{1}{\frac{1}{0.28 kΩ} + \frac{1}{0.065 kΩ}}

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Voltage Gain using Small Signal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)
A_v = g_m*1/(1/R_L+1/R_fi)
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

A_v = g_m*1/(1/R_L+1/R_fi) --> 0.0005*1/(1/280+1/65)

Evaluating ... ...

A_v = 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 00.020 seconds)

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< Small Signal Analysis Calculators

Output Voltage of Small Signal P-Channel

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

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

Transconductance Given Small Signal Parameters

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

Small Signal Output Voltage

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

< MOSFET Characterstics Calculators

Voltage Gain given Load Resistance of MOSFET

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

Maximum Voltage Gain at Bias Point

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

Voltage Gain given Drain Voltage

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

Maximum Voltage Gain given all Voltages

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

Voltage Gain using Small Signal Formula

Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)
A_v = g_m*1/(1/R_L+1/R_fi)

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 A_v 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 (g_m), Load Resistance (R_L) & Finite Resistance (R_fi) 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 A_v = g_m*1/(1/R_L+1/R_fi) 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 (g_m), Load Resistance (R_L) & Finite Resistance (R_fi). 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 3 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))

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