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Voltage between gate and source Solution

STEP 0: Pre-Calculation Summary
Formula Used
voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor)
vgs = Vi/(1+gm*Rs)
This formula uses 3 Variables
Variables Used
Input voltage - Input voltage is the voltage supplied to the device (Measured in Volt)
MOSFET Transconductance - MOSFET Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage. (Measured in Microsiemens)
Series resistor - Series Resistor is a current limiting resistor connected in series with the input voltage. It is used to limit maximum current flowing in a circuit. (Measured in Ohm)
STEP 1: Convert Input(s) to Base Unit
Input voltage: 1 Volt --> 1 Volt No Conversion Required
MOSFET Transconductance: 0.25 Microsiemens --> 2.5E-07 Siemens (Check conversion here)
Series resistor: 50 Ohm --> 50 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vgs = Vi/(1+gm*Rs) --> 1/(1+2.5E-07*50)
Evaluating ... ...
vgs = 0.999987500156248
STEP 3: Convert Result to Output's Unit
0.999987500156248 Volt --> No Conversion Required
FINAL ANSWER
0.999987500156248 Volt <-- Voltage between gate and source
(Calculation completed in 00.016 seconds)

10+ Basic Configurations Calculators

Overall voltage gain in terms of resistance
overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*voltage gain*(Load resistance/(Load resistance+Output resistance)) Go
Voltage gain in terms of load resistance of the transistor amplifier
voltage_gain = -(Load resistance of MOSFET+1/Load Resistance)/(1/MOSFET Transconductance+Series resistor) Go
Voltage gain of the amplifier proper
voltage_gain_of_the_amplifier_proper = voltage gain*(Load resistance/Load resistance+Output resistance) Go
Input resistance of the amplifier
amplifier_input = (Input resistance/(Input resistance+Signal Resistance))*Small Signal Go
Voltage between gate and source
voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor) Go
Overall voltage gain in terms of transconductance
overall_voltage_gain = -MOSFET Transconductance*(1/Load Resistance+1/Load resistance) Go
Voltage gain of the amplifier in terms of resistance
voltage_gain_of_the_amplifier_proper = Output voltage/Input voltage Go
Overall voltage gain
overall_voltage_gain = Output voltage/Signal Output Go
Overall voltage gain in terms of the signal source
overall_voltage_gain = Output voltage/input signal Go
Input resistance of the transistor amplifier
resistance = Amplifier input/input current Go

Voltage between gate and source Formula

voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor)
vgs = Vi/(1+gm*Rs)

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 voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor) to calculate the 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. Voltage between gate and source and 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 (Vi), MOSFET Transconductance (gm) and Series resistor (Rs) and hit the calculate button. Here is how the Voltage between gate and source calculation can be explained with given input values -> 0.999988 = 1/(1+2.5E-07*50).

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 = Vi/(1+gm*Rs) or voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor). Input voltage is the voltage supplied to the device, MOSFET Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage and Series Resistor 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 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 voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor). To calculate Voltage between gate and source, you need Input voltage (Vi), MOSFET Transconductance (gm) and Series resistor (Rs). With our tool, you need to enter the respective value for Input voltage, MOSFET Transconductance and Series resistor 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 between gate and source?
In this formula, Voltage between gate and source uses Input voltage, MOSFET Transconductance and Series resistor. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • resistance = Amplifier input/input current
  • amplifier_input = (Input resistance/(Input resistance+Signal Resistance))*Small Signal
  • voltage_gain_of_the_amplifier_proper = voltage gain*(Load resistance/Load resistance+Output resistance)
  • voltage_gain_of_the_amplifier_proper = Output voltage/Input voltage
  • overall_voltage_gain = Output voltage/Signal Output
  • overall_voltage_gain = (Input resistance/(Input resistance+Signal Resistance))*voltage gain*(Load resistance/(Load resistance+Output resistance))
  • overall_voltage_gain = Output voltage/input signal
  • overall_voltage_gain = -MOSFET Transconductance*(1/Load Resistance+1/Load resistance)
  • voltage_between_gate_and_source = Input voltage/(1+MOSFET Transconductance*Series resistor)
  • voltage_gain = -(Load resistance of MOSFET+1/Load Resistance)/(1/MOSFET Transconductance+Series resistor)
Where is the Voltage between gate and source calculator used?
Among many, Voltage between gate and source calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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