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Voltage Gain given Load Resistance of MOSFET Formula

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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). Check FAQs

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

A_v - Voltage Gain?g_m - Transconductance?R_L - Load Resistance?R_out - Output Resistance?R_s - Source Resistance?

Voltage Gain given Load Resistance of MOSFET Example

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Here is how the Voltage Gain given Load Resistance of MOSFET equation looks like with Values.

Here is how the Voltage Gain given Load Resistance of MOSFET equation looks like with Units.

Here is how the Voltage Gain given Load Resistance of MOSFET equation looks like.

0.0261 = 0.5 \cdot \frac{\frac{1}{\frac{1}{0.28} + \frac{1}{4.5}}}{1 + 0.5 \cdot 8.1}

0.0261 = 0.5mS \cdot \frac{\frac{1}{\frac{1}{0.28kΩ} + \frac{1}{4.5kΩ}}}{1 + 0.5mS \cdot 8.1kΩ}

0.0261 = 0.5 \cdot \frac{\frac{1}{\frac{1}{0.28} + \frac{1}{4.5}}}{1 + 0.5 \cdot 8.1}

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Voltage Gain given Load Resistance of MOSFET Solution

Follow our step by step solution on how to calculate Voltage Gain given Load Resistance of MOSFET?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A v = 0.5mS \cdot \frac{\frac{1}{\frac{1}{0.28kΩ} + \frac{1}{4.5kΩ}}}{1 + 0.5mS \cdot 8.1kΩ}

Next Step Convert Units

∴

A v = 0.0005S \cdot \frac{\frac{1}{\frac{1}{280Ω} + \frac{1}{4500Ω}}}{1 + 0.0005S \cdot 8100Ω}

Next Step Prepare to Evaluate

∴

A v = 0.0005 \cdot \frac{\frac{1}{\frac{1}{280} + \frac{1}{4500}}}{1 + 0.0005 \cdot 8100}

Next Step Evaluate

∴

A v = 0.0260988441940428

LAST Step Rounding Answer

∴

A v = 0.0261

Voltage Gain given Load Resistance of MOSFET Formula Elements

Variables

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).

Symbol: A_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Voltage Gain

Transconductance

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.

Symbol: g_m

Measurement: Electric ConductanceUnit: mS

Note: Value can be positive or negative.

Formulas to find Transconductance

Load Resistance

Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.

Symbol: R_L

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Load Resistance

Output Resistance

Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.

Symbol: R_out

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Output Resistance

Source Resistance

Source Resistance is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit.

Symbol: R_s

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Source Resistance

Other Formulas to find Voltage Gain

Go Voltage Gain given Drain Voltage

A v = \frac{i d \cdot R L \cdot 2}{V eff}

Go Voltage Gain using Small Signal

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

Other formulas in Amplification Factor or Gain category

Go Maximum Voltage Gain at Bias Point

A vm = 2 \cdot \frac{V dd - V eff}{V eff}

Go Maximum Voltage Gain given all Voltages

A vm = \frac{V dd - 0.3}{V t}

Go Bias Voltage of MOSFET

V be = V bias + V de

Go Gate to Source Channel Width of MOSFET

W c = \frac{C oc}{C ox \cdot L ov}

How to Evaluate Voltage Gain given Load Resistance of MOSFET?

Voltage Gain given Load Resistance of MOSFET evaluator uses Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance) to evaluate the Voltage Gain, The Voltage Gain given Load Resistance of MOSFET 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 evaluate Voltage Gain given Load Resistance of MOSFET using this online evaluator? To use this online evaluator for Voltage Gain given Load Resistance of MOSFET, enter Transconductance (g_m), Load Resistance (R_L), Output Resistance (R_out) & Source Resistance (R_s) and hit the calculate button.

FAQs on Voltage Gain given Load Resistance of MOSFET

What is the formula to find Voltage Gain given Load Resistance of MOSFET?

The formula of Voltage Gain given Load Resistance of MOSFET is expressed as Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance). Here is an example- 0.026099 = 0.0005*(1/(1/280+1/4500))/(1+0.0005*8100).

How to calculate Voltage Gain given Load Resistance of MOSFET?

With Transconductance (g_m), Load Resistance (R_L), Output Resistance (R_out) & Source Resistance (R_s) we can find Voltage Gain given Load Resistance of MOSFET using the formula - Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance).

What are the other ways to Calculate Voltage Gain?

Here are the different ways to Calculate Voltage Gain-

Voltage Gain=(Drain Current*Load Resistance*2)/Effective Voltage
Voltage Gain=Transconductance*1/(1/Load Resistance+1/Finite Resistance)

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Voltage Gain given Load Resistance of MOSFET Formula

​GoVoltage Gain given Drain Voltage Formula

​GoVoltage Gain using Small Signal Formula

Voltage Gain given Load Resistance of MOSFET Example

Voltage Gain given Load Resistance of MOSFET Solution

Voltage Gain given Load Resistance of MOSFET Formula Elements

Other Formulas to find Voltage Gain

Other formulas in Amplification Factor or Gain category

How to Evaluate Voltage Gain given Load Resistance of MOSFET?

FAQs on Voltage Gain given Load Resistance of MOSFET

Variable Name

GoVoltage Gain given Drain Voltage Formula

GoVoltage Gain using Small Signal Formula