Transconductance of FET Calculator

✖Drain Current of Zero Bias in an FET is the drain current that flows when the gate voltage is equal to zero.ⓘ Drain Current of Zero Bias [I_dss]			+10% -10%
✖Pinch OFF Voltage is the voltage at which the channel of a field-effect transistor (FET) becomes so narrow that it effectively closes, preventing any further current flow.ⓘ Pinch OFF Voltage [V_off]			+10% -10%
✖Gain to Source Voltage of a JFET is the ratio of the change in drain voltage to the change in source voltage.ⓘ Gain to Source Voltage [V_(g-s)]			+10% -10%

✖Forward Transconductance of a JFET is maximum at zero gate voltage and decreases as the gate voltage increases.ⓘ Transconductance of FET [G_m]

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Formula

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Transconductance of FET

Formula

`"G"_{"m"} = (2*"I"_{"dss"})/"V"_{"off"}*(1-"V"_{"(g-s)"}/"V"_{"off"})`

Example

`"0.019073S"=(2*"0.96A")/"100.66V"*(1-"0.0039V"/"100.66V")`

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Transconductance of FET Solution

STEP 0: Pre-Calculation Summary

Formula Used

Forward Transconductance = (2*Drain Current of Zero Bias)/Pinch OFF Voltage*(1-Gain to Source Voltage/Pinch OFF Voltage)
G_m = (2*I_dss)/V_off*(1-V_(g-s)/V_off)
This formula uses 4 Variables

Variables Used

Forward Transconductance - (Measured in Siemens) - Forward Transconductance of a JFET is maximum at zero gate voltage and decreases as the gate voltage increases.
Drain Current of Zero Bias - (Measured in Ampere) - Drain Current of Zero Bias in an FET is the drain current that flows when the gate voltage is equal to zero.
Pinch OFF Voltage - (Measured in Volt) - Pinch OFF Voltage is the voltage at which the channel of a field-effect transistor (FET) becomes so narrow that it effectively closes, preventing any further current flow.
Gain to Source Voltage - (Measured in Volt) - Gain to Source Voltage of a JFET is the ratio of the change in drain voltage to the change in source voltage.

STEP 1: Convert Input(s) to Base Unit

Drain Current of Zero Bias: 0.96 Ampere --> 0.96 Ampere No Conversion Required
Pinch OFF Voltage: 100.66 Volt --> 100.66 Volt No Conversion Required
Gain to Source Voltage: 0.0039 Volt --> 0.0039 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_m = (2*I_dss)/V_off*(1-V_(g-s)/V_off) --> (2*0.96)/100.66*(1-0.0039/100.66)

Evaluating ... ...

G_m = 0.0190733718554303

STEP 3: Convert Result to Output's Unit

0.0190733718554303 Siemens --> No Conversion Required

FINAL ANSWER

0.0190733718554303 ≈ 0.019073 Siemens <-- Forward Transconductance

(Calculation completed in 00.004 seconds)

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< 9 FET Calculators

Ohmic Region Drain Current of FET

Go Drain Current = Channel Conductance*(Drain to Source Voltage+3/2*((Psi+Gain to Source Voltage-Drain to Source Voltage)^(3/2)-(Psi+Gain to Source Voltage)^(3/2))/((Psi+Pinch OFF Voltage)^(1/2)))

Transconductance of FET

Go Forward Transconductance = (2*Drain Current of Zero Bias)/Pinch OFF Voltage*(1-Gain to Source Voltage/Pinch OFF Voltage)

Drain Source Voltage of FET

Go Drain to Source Voltage = Supply Voltage at Drain-Drain Current*(Drain Resistance+Source Resistance)

Gate Substrate Capacitance of FET

Go Gate Substrate Capacitance = Gate Substrate Capacitance off Time/(1-(Gate Substrate Voltage/Psi))^(1/2)

Drain Current of FET

Go Drain Current = Drain Current of Zero Bias*(1-Gain to Source Voltage/Cuttoff Gain to Source Voltage)^2

Gate Source Capacitance of FET

Go Gate to Source Capacitance = Gate Source Capacitance off Time/(1-(Gain to Source Voltage/Psi))^(1/3)

Gate Drain Capacitance of FET

Go Gate to Drain Capacitance = Gate Drain Capacitance off Time/(1-Gate to Drain Voltage/Psi)^(1/3)

Pinch off Voltage of FET

Go Pinch OFF Voltage = Pinch OFF Drain to Source Voltage-Gain to Source Voltage

Voltage Gain of FET

Go Voltage Gain = -Forward Transconductance*Drain Resistance

Transconductance of FET Formula

Forward Transconductance = (2*Drain Current of Zero Bias)/Pinch OFF Voltage*(1-Gain to Source Voltage/Pinch OFF Voltage)
G_m = (2*I_dss)/V_off*(1-V_(g-s)/V_off)

What is Transconductance of FET ?

Transconductance, often denoted as "gm," is a key parameter in field-effect transistors (FETs) and is analogous to the gain parameter in bipolar junction transistors (BJTs). It measures the relationship between the input voltage and the output current in a FET. More specifically, it quantifies how a change in the gate-source voltage (V_gs) of the FET results in a change in the drain current (I_d ).

How to Calculate Transconductance of FET?

Transconductance of FET calculator uses Forward Transconductance = (2*Drain Current of Zero Bias)/Pinch OFF Voltage*(1-Gain to Source Voltage/Pinch OFF Voltage) to calculate the Forward Transconductance, Transconductance of FET is a measure of how much its drain current changes in response to a change in its gate voltage. The transconductance of an FET is not constant, but varies depending on the operating point of the FET. The operating point is determined by the gate voltage and the drain current. The transconductance is highest at the center of the operating range and decreases towards the edges. Forward Transconductance is denoted by G_m symbol.

How to calculate Transconductance of FET using this online calculator? To use this online calculator for Transconductance of FET, enter Drain Current of Zero Bias (I_dss), Pinch OFF Voltage (V_off) & Gain to Source Voltage (V_(g-s)) and hit the calculate button. Here is how the Transconductance of FET calculation can be explained with given input values -> 0.019073 = (2*0.96)/100.66*(1-0.0039/100.66).

FAQ

What is Transconductance of FET?

Transconductance of FET is a measure of how much its drain current changes in response to a change in its gate voltage. The transconductance of an FET is not constant, but varies depending on the operating point of the FET. The operating point is determined by the gate voltage and the drain current. The transconductance is highest at the center of the operating range and decreases towards the edges and is represented as G_m = (2*I_dss)/V_off*(1-V_(g-s)/V_off) or Forward Transconductance = (2*Drain Current of Zero Bias)/Pinch OFF Voltage*(1-Gain to Source Voltage/Pinch OFF Voltage). Drain Current of Zero Bias in an FET is the drain current that flows when the gate voltage is equal to zero, Pinch OFF Voltage is the voltage at which the channel of a field-effect transistor (FET) becomes so narrow that it effectively closes, preventing any further current flow & Gain to Source Voltage of a JFET is the ratio of the change in drain voltage to the change in source voltage.

How to calculate Transconductance of FET?

Transconductance of FET is a measure of how much its drain current changes in response to a change in its gate voltage. The transconductance of an FET is not constant, but varies depending on the operating point of the FET. The operating point is determined by the gate voltage and the drain current. The transconductance is highest at the center of the operating range and decreases towards the edges is calculated using Forward Transconductance = (2*Drain Current of Zero Bias)/Pinch OFF Voltage*(1-Gain to Source Voltage/Pinch OFF Voltage). To calculate Transconductance of FET, you need Drain Current of Zero Bias (I_dss), Pinch OFF Voltage (V_off) & Gain to Source Voltage (V_(g-s)). With our tool, you need to enter the respective value for Drain Current of Zero Bias, Pinch OFF Voltage & Gain to Source Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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