Voltage between Gate and Source Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gate to Source Voltage = Input Voltage/(1+Transconductance*Resistance)
Vgs = Vin/(1+Gm*R)
This formula uses 4 Variables
Variables Used
Gate to Source Voltage - (Measured in Volt) - Gate to source voltage of transistor is the voltage that falls across the gate-source terminal of the transistor.
Input Voltage - (Measured in Volt) - Input voltage is the voltage supplied to the device.
Transconductance - (Measured in Siemens) - Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
STEP 1: Convert Input(s) to Base Unit
Input Voltage: 2.5 Volt --> 2.5 Volt No Conversion Required
Transconductance: 1.72 Millisiemens --> 0.00172 Siemens (Check conversion ​here)
Resistance: 1.13 Kilohm --> 1130 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vgs = Vin/(1+Gm*R) --> 2.5/(1+0.00172*1130)
Evaluating ... ...
Vgs = 0.849300176654437
STEP 3: Convert Result to Output's Unit
0.849300176654437 Volt --> No Conversion Required
FINAL ANSWER
0.849300176654437 0.8493 Volt <-- Gate to Source Voltage
(Calculation completed in 00.004 seconds)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Voltage Calculators

Single Component of Drain Voltage given Transconductance
​ LaTeX ​ Go Total Instantaneous Drain Voltage = -Transconductance*Input Voltage*Load Resistance
Voltage between Gate and Source
​ LaTeX ​ Go Gate to Source Voltage = Input Voltage/(1+Transconductance*Resistance)
Single Component of Drain Voltage
​ LaTeX ​ Go Total Instantaneous Drain Voltage = (-Change in Drain Current*Load Resistance)
Total Instantaneous Gate-to-Source Voltage
​ LaTeX ​ Go Gate to Source Voltage = Small Signal+Voltage Across Oxide

Voltage between Gate and Source Formula

​LaTeX ​Go
Gate to Source Voltage = Input Voltage/(1+Transconductance*Resistance)
Vgs = Vin/(1+Gm*R)

Why voltage between gate and source is important to the transistor?

The gate-source voltage, Vgs, is a very important voltage because it is the voltage that is responsible for turning off a JFET or a depletion MOSFET transistor.

How to Calculate Voltage between Gate and Source?

Voltage between Gate and Source calculator uses Gate to Source Voltage = Input Voltage/(1+Transconductance*Resistance) to calculate the Gate to Source Voltage, The Voltage between gate and source, Vgs, of a FET transistor is the voltage that falls across the gate-source terminal of the transistor. Gate to Source Voltage is denoted by Vgs symbol.

How to calculate Voltage between Gate and Source using this online calculator? To use this online calculator for Voltage between Gate and Source, enter Input Voltage (Vin), Transconductance (Gm) & Resistance (R) and hit the calculate button. Here is how the Voltage between Gate and Source calculation can be explained with given input values -> 0.8493 = 2.5/(1+0.00172*1130).

FAQ

What is Voltage between Gate and Source?
The Voltage between gate and source, Vgs, of a FET transistor is the voltage that falls across the gate-source terminal of the transistor and is represented as Vgs = Vin/(1+Gm*R) or Gate to Source Voltage = Input Voltage/(1+Transconductance*Resistance). Input voltage is the voltage supplied to the device, Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device & Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
How to calculate Voltage between Gate and Source?
The Voltage between gate and source, Vgs, of a FET transistor is the voltage that falls across the gate-source terminal of the transistor is calculated using Gate to Source Voltage = Input Voltage/(1+Transconductance*Resistance). To calculate Voltage between Gate and Source, you need Input Voltage (Vin), Transconductance (Gm) & Resistance (R). With our tool, you need to enter the respective value for Input Voltage, Transconductance & 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 Gate to Source Voltage?
In this formula, Gate to Source Voltage uses Input Voltage, Transconductance & Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Gate to Source Voltage = Small Signal+Voltage Across Oxide
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