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Small signal input voltage in terms of the transconductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
small_signal_voltage = Input voltage*(1/(1+MOSFET Transconductance*Total resistance in the emitter))
vπ = Vi*(1/(1+gm*R))
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)
Total resistance in the emitter - The total resistance in the emitter is the total opposition caused in the flow of current in the emitter (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)
Total resistance in the emitter: 40 Ohm --> 40 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vπ = Vi*(1/(1+gm*R)) --> 1*(1/(1+2.5E-07*40))
Evaluating ... ...
vπ = 0.999990000099999
STEP 3: Convert Result to Output's Unit
0.999990000099999 Volt --> No Conversion Required
FINAL ANSWER
0.999990000099999 Volt <-- Small-signal voltage
(Calculation completed in 00.016 seconds)

10+ Basic Configurations Calculators

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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
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Input resistance of the transistor amplifier
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Small signal input voltage in terms of the transconductance Formula

small_signal_voltage = Input voltage*(1/(1+MOSFET Transconductance*Total resistance in the emitter))
vπ = Vi*(1/(1+gm*R))

What is small-signal model?

A small-signal model is an AC equivalent circuit in which the nonlinear circuit elements are replaced by linear elements whose values are given by the first-order (linear) approximation of their characteristic curve near the bias point.

How to Calculate Small signal input voltage in terms of the transconductance?

Small signal input voltage in terms of the transconductance calculator uses small_signal_voltage = Input voltage*(1/(1+MOSFET Transconductance*Total resistance in the emitter)) to calculate the Small-signal voltage, The Small signal input voltage in terms of the transconductance formula is defined as a quantitative expression of the potential difference in electrical charge between two points in an electrical field. Small-signal voltage and is denoted by vπ symbol.

How to calculate Small signal input voltage in terms of the transconductance using this online calculator? To use this online calculator for Small signal input voltage in terms of the transconductance, enter Input voltage (Vi), MOSFET Transconductance (gm) and Total resistance in the emitter (R) and hit the calculate button. Here is how the Small signal input voltage in terms of the transconductance calculation can be explained with given input values -> 0.99999 = 1*(1/(1+2.5E-07*40)).

FAQ

What is Small signal input voltage in terms of the transconductance?
The Small signal input voltage in terms of the transconductance formula is defined as a quantitative expression of the potential difference in electrical charge between two points in an electrical field and is represented as vπ = Vi*(1/(1+gm*R)) or small_signal_voltage = Input voltage*(1/(1+MOSFET Transconductance*Total resistance in the emitter)). 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 The total resistance in the emitter is the total opposition caused in the flow of current in the emitter.
How to calculate Small signal input voltage in terms of the transconductance?
The Small signal input voltage in terms of the transconductance formula is defined as a quantitative expression of the potential difference in electrical charge between two points in an electrical field is calculated using small_signal_voltage = Input voltage*(1/(1+MOSFET Transconductance*Total resistance in the emitter)). To calculate Small signal input voltage in terms of the transconductance, you need Input voltage (Vi), MOSFET Transconductance (gm) and Total resistance in the emitter (R). With our tool, you need to enter the respective value for Input voltage, MOSFET Transconductance and Total resistance in the emitter 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 Small-signal voltage?
In this formula, Small-signal voltage uses Input voltage, MOSFET Transconductance and Total resistance in the emitter. 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 Small signal input voltage in terms of the transconductance calculator used?
Among many, Small signal input voltage in terms of the transconductance calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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