Transconductance in Common Source Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)
gmp = fug*(Cgs+Cgd)
This formula uses 4 Variables
Variables Used
MOSFET Primary Transconductance - (Measured in Siemens) - MOSFET Primary Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
Unity Gain Frequency - (Measured in Hertz) - Unity gain frequency of an amplifier is simply the frequency of an input signal at which the open-loop gain is equal to 1.
Gate to Source Capacitance - (Measured in Farad) - Gate to source capacitance is capacitance between the gate terminal and source terminal.
Capacitance Gate to Drain - (Measured in Farad) - Capacitance gate to drain is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.
STEP 1: Convert Input(s) to Base Unit
Unity Gain Frequency: 51.57 Hertz --> 51.57 Hertz No Conversion Required
Gate to Source Capacitance: 145.64 Microfarad --> 0.00014564 Farad (Check conversion ​here)
Capacitance Gate to Drain: 237.65 Microfarad --> 0.00023765 Farad (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gmp = fug*(Cgs+Cgd) --> 51.57*(0.00014564+0.00023765)
Evaluating ... ...
gmp = 0.0197662653
STEP 3: Convert Result to Output's Unit
0.0197662653 Siemens -->19.7662653 Millisiemens (Check conversion ​here)
FINAL ANSWER
19.7662653 19.76627 Millisiemens <-- MOSFET Primary Transconductance
(Calculation completed in 00.004 seconds)

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Common Source Amplifier Calculators

Overall Feedback Voltage Gain of Common-Source Amplifier
​ LaTeX ​ Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1
Open-Circuit Voltage Gain of CS Amplifier
​ LaTeX ​ Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)
Current Gain of Controlled Source Transistor
​ LaTeX ​ Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))
Total Voltage Gain of CS Amplifier
​ LaTeX ​ Go Voltage Gain = Load Voltage/Input Voltage

CV Actions of Common Stage Amplifiers Calculators

Input Resistance of Common Emitter Amplifier
​ LaTeX ​ Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/Small Signal Input Resistance)^-1
Input Impedance of Common-Base Amplifier
​ LaTeX ​ Go Input Impedance = (1/Emitter Resistance+1/Small Signal Input Resistance)^(-1)
Fundamental Voltage in Common-Emitter Amplifier
​ LaTeX ​ Go Fundamental Component Voltage = Input Resistance*Base Current
Emitter Current of Common-Base Amplifier
​ LaTeX ​ Go Emitter Current = Input Voltage/Emitter Resistance

Transconductance in Common Source Amplifier Formula

​LaTeX ​Go
MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)
gmp = fug*(Cgs+Cgd)

What is a Common Source Amplifier?

When the input signal is applied at the gate terminal and source terminal, then the output voltage is amplified and obtained across the resistor at the load in the drain terminal. This is called a common source amplifier.

How to Calculate Transconductance in Common Source Amplifier?

Transconductance in Common Source Amplifier calculator uses MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain) to calculate the MOSFET Primary Transconductance, Transconductance in Common Source Amplifier is the ratio of the collector current to the base voltage. It is usually expressed in units of amperes per volt (A/V). MOSFET Primary Transconductance is denoted by gmp symbol.

How to calculate Transconductance in Common Source Amplifier using this online calculator? To use this online calculator for Transconductance in Common Source Amplifier, enter Unity Gain Frequency (fug), Gate to Source Capacitance (Cgs) & Capacitance Gate to Drain (Cgd) and hit the calculate button. Here is how the Transconductance in Common Source Amplifier calculation can be explained with given input values -> 19766.27 = 51.57*(0.00014564+0.00023765).

FAQ

What is Transconductance in Common Source Amplifier?
Transconductance in Common Source Amplifier is the ratio of the collector current to the base voltage. It is usually expressed in units of amperes per volt (A/V) and is represented as gmp = fug*(Cgs+Cgd) or MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain). Unity gain frequency of an amplifier is simply the frequency of an input signal at which the open-loop gain is equal to 1, Gate to source capacitance is capacitance between the gate terminal and source terminal & Capacitance gate to drain is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.
How to calculate Transconductance in Common Source Amplifier?
Transconductance in Common Source Amplifier is the ratio of the collector current to the base voltage. It is usually expressed in units of amperes per volt (A/V) is calculated using MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain). To calculate Transconductance in Common Source Amplifier, you need Unity Gain Frequency (fug), Gate to Source Capacitance (Cgs) & Capacitance Gate to Drain (Cgd). With our tool, you need to enter the respective value for Unity Gain Frequency, Gate to Source Capacitance & Capacitance Gate to Drain 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 MOSFET Primary Transconductance?
In this formula, MOSFET Primary Transconductance uses Unity Gain Frequency, Gate to Source Capacitance & Capacitance Gate to Drain. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • MOSFET Primary Transconductance = Collector Current/Threshold Voltage
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