Voltage Gain given Load Resistance of MOSFET 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%
✖Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.ⓘ Output Resistance [R_out]			+10% -10%
✖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.ⓘ Source Resistance [R_s]			+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 given Load Resistance of MOSFET [A_v]

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Voltage Gain given Load Resistance of MOSFET

Formula

`"A"_{"v"} = "g"_{"m"}*(1/(1/"R"_{"L"}+1/"R"_{"out"}))/(1+"g"_{"m"}*"R"_{"s"})`

Example

`"0.026099"="0.5mS"*(1/(1/"0.28kΩ"+1/"4.5kΩ"))/(1+"0.5mS"*"8.1kΩ")`

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Voltage Gain given Load Resistance of MOSFET Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance)
A_v = g_m*(1/(1/R_L+1/R_out))/(1+g_m*R_s)
This formula uses 5 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.
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.
Source Resistance - (Measured in Ohm) - 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.

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)
Output Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion here)
Source Resistance: 8.1 Kilohm --> 8100 Ohm (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_v = g_m*(1/(1/R_L+1/R_out))/(1+g_m*R_s) --> 0.0005*(1/(1/280+1/4500))/(1+0.0005*8100)

Evaluating ... ...

A_v = 0.0260988441940428

STEP 3: Convert Result to Output's Unit

0.0260988441940428 --> No Conversion Required

FINAL ANSWER

0.0260988441940428 ≈ 0.026099 <-- Voltage Gain

(Calculation completed in 00.004 seconds)

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< 6 Amplification Factor/Gain 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

Phase Shifted Voltage Gain using Transconductance

Go Phase Shift Voltage Gain = -(Transconductance*Load Resistance)

Maximum Voltage Gain given all Voltages

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

Voltage Gain using Single Component of Drain Voltage

Go Voltage Gain = Drain Voltage/Input Signal

< 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 given Load Resistance of MOSFET Formula

Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance)
A_v = g_m*(1/(1/R_L+1/R_out))/(1+g_m*R_s)

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 given Load Resistance of MOSFET?

Voltage Gain given Load Resistance of MOSFET calculator uses Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance) to calculate 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 calculate Voltage Gain given Load Resistance of MOSFET using this online calculator? To use this online calculator 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. Here is how the Voltage Gain given Load Resistance of MOSFET calculation can be explained with given input values -> 0.026099 = 0.0005*(1/(1/280+1/4500))/(1+0.0005*8100).

FAQ

What is Voltage Gain given Load Resistance of MOSFET?

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 and is represented as A_v = g_m*(1/(1/R_L+1/R_out))/(1+g_m*R_s) or Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source 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, Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output & 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.

How to calculate Voltage Gain given Load Resistance of MOSFET?

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 is calculated using Voltage Gain = Transconductance*(1/(1/Load Resistance+1/Output Resistance))/(1+Transconductance*Source Resistance). To calculate Voltage Gain given Load Resistance of MOSFET, you need Transconductance (g_m), Load Resistance (R_L), Output Resistance (R_out) & Source Resistance (R_s). With our tool, you need to enter the respective value for Transconductance, Load Resistance, Output Resistance & Source 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, Output Resistance & Source Resistance. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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