## Transconductance Given Small Signal Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage)
gm = 2*Kn*(Vgsq-Vt)
This formula uses 4 Variables
Variables Used
Transconductance - (Measured in Siemens) - Transconductance in small signal amplifiers refers to the change in current output for a small change in input voltage. It is a measure of the amplifier's ability to follow small signal variations.
Transconductance Parameter - (Measured in Ampere per Square Volt) - Transconductance parameter Kn is a measure of the change in current flowing through a transistor in response to a small change in voltage.
DC Component of Gate to Source Voltage - (Measured in Volt) - The DC Component of Gate to Source Voltage refers to the voltage applied between the gate and source terminals, which controls the flow of current between the drain and source terminals.
Total Voltage - (Measured in Volt) - The total voltage in a series circuit is equal to the sum of all the individual voltage drops in the circuit.
STEP 1: Convert Input(s) to Base Unit
Transconductance Parameter: 0.07 Ampere per Square Volt --> 0.07 Ampere per Square Volt No Conversion Required
DC Component of Gate to Source Voltage: 10 Volt --> 10 Volt No Conversion Required
Total Voltage: 2 Volt --> 2 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gm = 2*Kn*(Vgsq-Vt) --> 2*0.07*(10-2)
Evaluating ... ...
gm = 1.12
STEP 3: Convert Result to Output's Unit
1.12 Siemens --> No Conversion Required
1.12 Siemens <-- Transconductance
(Calculation completed in 00.004 seconds)
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## Credits

Created by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
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## < 15 Small Signal Analysis Calculators

Small Signal Voltage Gain with respect to Input Resistance
Voltage Gain = (Input Amplifier Resistance/(Input Amplifier Resistance+Self Induced Resistance))*((Source Resistance*Output Resistance)/(Source Resistance+Output Resistance))/(1/Transconductance+((Source Resistance*Output Resistance)/(Source Resistance+Output Resistance)))
Gate to Source Voltage with respect to Small Signal Resistance
Critical Voltage = Input Voltage*((1/Transconductance)/((1/Transconductance)*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))))
Common Drain Output Voltage in Small Signal
Output Voltage = Transconductance*Critical Voltage*((Source Resistance*Small Signal Resistance)/(Source Resistance+Small Signal Resistance))
Output Voltage of Small Signal P-Channel
Output Voltage = Transconductance*Source to Gate Voltage*((Output Resistance*Drain Resistance)/(Drain Resistance+Output Resistance))
Voltage Gain for Small Signal
Voltage Gain = (Transconductance*(1/((1/Load Resistance)+(1/Drain Resistance))))/(1+(Transconductance*Self Induced Resistance))
Small-Signal Voltage Gain with respect to Drain Resistance
Voltage Gain = -(Transconductance*((Output Resistance *Drain Resistance)/(Output Resistance+Drain Resistance)))
Output Current of Small Signal
Output Current = (-Transconductance*Critical Voltage)*(Drain Resistance/(Load Resistance+Drain Resistance))
Input Current of Small Signal
Input Current Of Small Signal = -(Critical Voltage*((1+Transconductance*Self Induced Resistance)/Self Induced Resistance))
Amplification Factor for Small Signal MOSFET Model
Amplification Factor = 1/Electron Mean Free Path*sqrt((2*Process Transconductance Parameter)/Drain Current)
Transconductance Given Small Signal Parameters
Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage)
Gate to Source Voltage in Small Signal
Critical Voltage = -Input Voltage/(1+Self Induced Resistance*Transconductance)
Voltage Gain using Small Signal
Voltage Gain = Transconductance*1/(1/Load Resistance+1/Finite Resistance)
Small Signal Output Voltage
Output Voltage = Transconductance*Source to Gate Voltage*Load Resistance
Drain Current of MOSFET Small Signal
Drain Current = 1/(Electron Mean Free Path*Output Resistance)
Amplification Factor in Small Signal MOSFET Model
Amplification Factor = Transconductance*Output Resistance

## Transconductance Given Small Signal Parameters Formula

Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage)
gm = 2*Kn*(Vgsq-Vt)

## Why do we need to calculate transconductance?

Transconductance is crucial in small signal amplifiers as it enables the amplifier to maintain a low output impedance, ensuring minimal load on the input signal. This is particularly important in audio and radio applications where very small signals need to be amplified with minimal distortion.

## How to Calculate Transconductance Given Small Signal Parameters?

Transconductance Given Small Signal Parameters calculator uses Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage) to calculate the Transconductance, The Transconductance Given Small Signal Parameters formula is defined as the change in current output for a small change in input voltage. It is a measure of the amplifier's ability to follow small signal variations. Transconductance is denoted by gm symbol.

How to calculate Transconductance Given Small Signal Parameters using this online calculator? To use this online calculator for Transconductance Given Small Signal Parameters, enter Transconductance Parameter (Kn), DC Component of Gate to Source Voltage (Vgsq) & Total Voltage (Vt) and hit the calculate button. Here is how the Transconductance Given Small Signal Parameters calculation can be explained with given input values -> 112 = 2*0.07*(10-2).

### FAQ

What is Transconductance Given Small Signal Parameters?
The Transconductance Given Small Signal Parameters formula is defined as the change in current output for a small change in input voltage. It is a measure of the amplifier's ability to follow small signal variations and is represented as gm = 2*Kn*(Vgsq-Vt) or Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage). Transconductance parameter Kn is a measure of the change in current flowing through a transistor in response to a small change in voltage, The DC Component of Gate to Source Voltage refers to the voltage applied between the gate and source terminals, which controls the flow of current between the drain and source terminals & The total voltage in a series circuit is equal to the sum of all the individual voltage drops in the circuit.
How to calculate Transconductance Given Small Signal Parameters?
The Transconductance Given Small Signal Parameters formula is defined as the change in current output for a small change in input voltage. It is a measure of the amplifier's ability to follow small signal variations is calculated using Transconductance = 2*Transconductance Parameter*(DC Component of Gate to Source Voltage-Total Voltage). To calculate Transconductance Given Small Signal Parameters, you need Transconductance Parameter (Kn), DC Component of Gate to Source Voltage (Vgsq) & Total Voltage (Vt). With our tool, you need to enter the respective value for Transconductance Parameter, DC Component of Gate to Source Voltage & Total Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know