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Transconductance given Drain Voltage Constant Calculator

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✖The output conductance go represents the small-signal drain-source conductance of the MOSFET when the gate-source voltage is held constant.ⓘ Output Conductance [Go]
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✖Input Voltage is the first power source that enters into any branch circuit etc. Input voltage is any voltage source that's derived from the supply voltage source.ⓘ Input Voltage [Vi]
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✖Gate Voltage is the voltage entering the gate source junction of a JFET transistor.ⓘ Gate Voltage [Vg]
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✖Pinch Off Voltage is the gate voltage at which the channel becomes completely pinched off, and is a key parameter in the operation of FETs. It is an important parameter in circuit design.ⓘ Pinch Off Voltage [Vp]
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✖Transconductance MESFET, also infrequently called mutual conductance.ⓘ Transconductance given Drain Voltage Constant [gm]
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Formula
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Transconductance given Drain Voltage Constant

Formula
`"g"_{"m"} = "G"_{"o"}*(1-sqrt(("V"_{"i"}-"V"_{"g"})/"V"_{"p"}))`

Example
`"4.709723℧"="16.08℧"*(1-sqrt(("15.9V"-"9.62V")/"12.56V"))`

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Transconductance given Drain Voltage Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transconductance = Output Conductance*(1-sqrt((Input Voltage-Gate Voltage)/Pinch Off Voltage))
gm = Go*(1-sqrt((Vi-Vg)/Vp))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Transconductance - (Measured in Siemens) - Transconductance MESFET, also infrequently called mutual conductance.
Output Conductance - (Measured in Siemens) - The output conductance go represents the small-signal drain-source conductance of the MOSFET when the gate-source voltage is held constant.
Input Voltage - (Measured in Volt) - Input Voltage is the first power source that enters into any branch circuit etc. Input voltage is any voltage source that's derived from the supply voltage source.
Gate Voltage - (Measured in Volt) - Gate Voltage is the voltage entering the gate source junction of a JFET transistor.
Pinch Off Voltage - (Measured in Volt) - Pinch Off Voltage is the gate voltage at which the channel becomes completely pinched off, and is a key parameter in the operation of FETs. It is an important parameter in circuit design.
STEP 1: Convert Input(s) to Base Unit
Output Conductance: 16.08 Mho --> 16.08 Siemens (Check conversion here)
Input Voltage: 15.9 Volt --> 15.9 Volt No Conversion Required
Gate Voltage: 9.62 Volt --> 9.62 Volt No Conversion Required
Pinch Off Voltage: 12.56 Volt --> 12.56 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gm = Go*(1-sqrt((Vi-Vg)/Vp)) --> 16.08*(1-sqrt((15.9-9.62)/12.56))
Evaluating ... ...
gm = 4.70972295852031
STEP 3: Convert Result to Output's Unit
4.70972295852031 Siemens -->4.70972295852031 Mho (Check conversion here)
FINAL ANSWER
4.70972295852031 Mho <-- Transconductance
(Calculation completed in 00.000 seconds)
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Created by Sonu Kumar Keshri
National Institute of Technology, Patna (NITP), Patna
Sonu Kumar Keshri has created this Calculator and 0 more calculators!
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Chandigarh University (CU), Punjab
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15 MESFET Calculators

Cut Off Frequency MESFET given Fmax and Resistance
Go Cut-off Frequency = (2*Maximum Frequency of Oscillations)/(sqrt(Drain Resistance/(Source Resistance+Gate Metallization Resistance+Input Resistance)))
Drain Resistance MESFET
Go Drain Resistance = ((Maximum Frequency of Oscillations^2)*4/(Cut-off Frequency)^2)*(Source Resistance+Gate Metallization Resistance+Input Resistance)
Gate metallization resistance MESFET
Go Gate Metallization Resistance = (Drain Resistance/(2*Maximum Frequency of Oscillations/Cut-off Frequency)^2)-(Source Resistance+Input Resistance)
Source Resistance MESFET
Go Source Resistance = (Drain Resistance/(2*Maximum Frequency of Oscillations/Cut-off Frequency)^2)-(Gate Metallization Resistance+Input Resistance)
Input resistance MESFET
Go Input Resistance = (Drain Resistance/(2*Maximum Frequency of Oscillations/Cut-off Frequency)^2)-(Gate Metallization Resistance+Source Resistance)
Transconductance given Drain Voltage Constant
Go Transconductance = Output Conductance*(1-sqrt((Input Voltage-Gate Voltage)/Pinch Off Voltage))
Maximum frequency of oscillations MESFET
Go Maximum Frequency of Oscillations = (Cut-off Frequency/2)*sqrt(Drain Resistance/Gate Metallization Resistance)
Maximum Frequency of Oscillation given Transconductance
Go Maximum Frequency of Oscillations = Transconductance/(pi*Gate to Source Capacitance)
Maximum Frequency of Oscillation
Go Maximum Frequency of Oscillations = Saturated Drift Velocity/(2*pi*Gate Length)
Cut Off Frequency MESFET given Transconductance and Capacitance
Go Cut-off Frequency = Transconductance/(2*pi*Gate to Source Capacitance)
Gate to source capacitance MESFET
Go Gate to Source Capacitance = Transconductance/(2*pi*Cut-off Frequency)
Transconductance MESFET
Go Transconductance = Gate to Source Capacitance/2*pi*Cut-off Frequency
Cut-off frequency MESFET
Go Cut-off Frequency = Saturated Drift Velocity/(4*pi*Gate Length)
Gate length
Go Gate Length = Saturated Drift Velocity/(4*pi*Cut-off Frequency)
Maximum Frequency of Oscillation given Cut Off Frequency
Go Maximum Frequency of Oscillations = Cut-off Frequency/2

Transconductance given Drain Voltage Constant Formula

Transconductance = Output Conductance*(1-sqrt((Input Voltage-Gate Voltage)/Pinch Off Voltage))
gm = Go*(1-sqrt((Vi-Vg)/Vp))

What is transconductance?

Transconductance (gm) is a measure of the sensitivity of the output current of a device to changes in the input voltage. It is defined as the derivative of the output current with respect to the input voltage, and has units of siemens (S).

How to Calculate Transconductance given Drain Voltage Constant?

Transconductance given Drain Voltage Constant calculator uses Transconductance = Output Conductance*(1-sqrt((Input Voltage-Gate Voltage)/Pinch Off Voltage)) to calculate the Transconductance, The Transconductance given Drain Voltage Constant formula is defined as a measure of the sensitivity of the output current of a device to changes in the input voltage. It is defined as the derivative of the output current with respect to the input voltage, and has units of siemens (S). The output conductance here represents the small-signal drain-source conductance of the MOSFET when the gate-source voltage is held constant. Transconductance is denoted by gm symbol.

How to calculate Transconductance given Drain Voltage Constant using this online calculator? To use this online calculator for Transconductance given Drain Voltage Constant, enter Output Conductance (Go), Input Voltage (Vi), Gate Voltage (Vg) & Pinch Off Voltage (Vp) and hit the calculate button. Here is how the Transconductance given Drain Voltage Constant calculation can be explained with given input values -> 4.709723 = 16.08*(1-sqrt((15.9-9.62)/12.56)).

FAQ

What is Transconductance given Drain Voltage Constant?
The Transconductance given Drain Voltage Constant formula is defined as a measure of the sensitivity of the output current of a device to changes in the input voltage. It is defined as the derivative of the output current with respect to the input voltage, and has units of siemens (S). The output conductance here represents the small-signal drain-source conductance of the MOSFET when the gate-source voltage is held constant and is represented as gm = Go*(1-sqrt((Vi-Vg)/Vp)) or Transconductance = Output Conductance*(1-sqrt((Input Voltage-Gate Voltage)/Pinch Off Voltage)). The output conductance go represents the small-signal drain-source conductance of the MOSFET when the gate-source voltage is held constant, Input Voltage is the first power source that enters into any branch circuit etc. Input voltage is any voltage source that's derived from the supply voltage source, Gate Voltage is the voltage entering the gate source junction of a JFET transistor & Pinch Off Voltage is the gate voltage at which the channel becomes completely pinched off, and is a key parameter in the operation of FETs. It is an important parameter in circuit design.
How to calculate Transconductance given Drain Voltage Constant?
The Transconductance given Drain Voltage Constant formula is defined as a measure of the sensitivity of the output current of a device to changes in the input voltage. It is defined as the derivative of the output current with respect to the input voltage, and has units of siemens (S). The output conductance here represents the small-signal drain-source conductance of the MOSFET when the gate-source voltage is held constant is calculated using Transconductance = Output Conductance*(1-sqrt((Input Voltage-Gate Voltage)/Pinch Off Voltage)). To calculate Transconductance given Drain Voltage Constant, you need Output Conductance (Go), Input Voltage (Vi), Gate Voltage (Vg) & Pinch Off Voltage (Vp). With our tool, you need to enter the respective value for Output Conductance, Input Voltage, Gate Voltage & Pinch Off Voltage 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 Transconductance?
In this formula, Transconductance uses Output Conductance, Input Voltage, Gate Voltage & Pinch Off Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Transconductance = Gate to Source Capacitance/2*pi*Cut-off Frequency
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