Transconductance in Common Source Amplifier Calculator

✖Unity gain frequency of an amplifier is simply the frequency of an input signal at which the open-loop gain is equal to 1.ⓘ Unity Gain Frequency [f_ug]			+10% -10%
✖Gate to source capacitance is capacitance between the gate terminal and source terminal.ⓘ Gate to Source Capacitance [C_gs]			+10% -10%
✖Capacitance gate to drain is defined as the capacitance that is observed between the gate and drain of the Junction of MOSFET.ⓘ Capacitance Gate to Drain [C_gd]			+10% -10%

✖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.ⓘ Transconductance in Common Source Amplifier [g_mp]

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Transconductance in Common Source Amplifier

Formula

`"g"_{"mp"} = "f"_{"ug"}*("C"_{"gs"}+"C"_{"gd"})`

Example

`"19.76627mS"="51.57Hz"*("145.64μF"+"237.65μF")`

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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)
g_mp = f_ug*(C_gs+C_gd)
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

g_mp = f_ug*(C_gs+C_gd) --> 51.57*(0.00014564+0.00023765)

Evaluating ... ...

g_mp = 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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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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National Institute Of Technology (NIT), Hamirpur

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< 11 Common-Source Amplifier Calculators

Overall Feedback Voltage Gain of Common-Source Amplifier

Go Feedback Voltage Gain = -MOSFET Primary Transconductance*(Input Resistance/(Input Resistance+Signal Resistance))*(1/Drain Resistance+1/Load Resistance+1/Finite Output Resistance)^-1

Output Voltage of Controlled Source Transistor

Go DC Component of Gate to Source Voltage = (Voltage Gain*Electric Current-Short Circuit Transconductance*Differential Output Signal)*(1/Final Resistance+1/Resistance of Primary Winding in Secondary)

Output Resistance at Another Drain of Controlled Source Transistor

Go Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary

Output Resistance of CS Amplifier with Source Resistance

Go Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)

Open-Circuit Voltage Gain of CS Amplifier

Go Open Circuit Voltage Gain = Finite Output Resistance/(Finite Output Resistance+1/MOSFET Primary Transconductance)

Transconductance in Common Source Amplifier

Go MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)

Overall Voltage Gain of Source Follower

Go Overall Voltage Gain = Load Resistance/(Load Resistance+1/MOSFET Primary Transconductance)

Current Gain of Controlled Source Transistor

Go Current Gain = 1/(1+1/(MOSFET Primary Transconductance*Resistance between Drain and Ground))

Emitter Voltage with respect to Voltage Gain

Go Emitter Voltage = Collector Voltage/Voltage Gain

Total Voltage Gain of CS Amplifier

Go Voltage Gain = Load Voltage/Input Voltage

Load Voltage of CS Amplifier

Go Load Voltage = Voltage Gain*Input Voltage

< 18 CV Actions of Common Stage Amplifiers Calculators

Output Voltage of Controlled Source Transistor

Go DC Component of Gate to Source Voltage = (Voltage Gain*Electric Current-Short Circuit Transconductance*Differential Output Signal)*(1/Final Resistance+1/Resistance of Primary Winding in Secondary)

Input Resistance of Common-Base Circuit

Go Input Resistance = (Emitter Resistance*(Finite Output Resistance+Load Resistance))/(Finite Output Resistance+(Load Resistance/(Collector Base Current Gain+1)))

Output Resistance at Another Drain of Controlled Source Transistor

Go Drain Resistance = Resistance of Secondary Winding in Primary+2*Finite Resistance+2*Finite Resistance*MOSFET Primary Transconductance*Resistance of Secondary Winding in Primary

Output Resistance of Emitter-Degenerated CE Amplifier

Go Drain Resistance = Finite Output Resistance+(MOSFET Primary Transconductance*Finite Output Resistance)*(1/Emitter Resistance+1/Small Signal Input Resistance)

Input Resistance of Common Emitter Amplifier given Small-Signal Input Resistance

Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/(Small Signal Input Resistance+(Collector Base Current Gain+1)*Emitter Resistance))^-1

Output Resistance of CS Amplifier with Source Resistance

Go Drain Resistance = Finite Output Resistance+Source Resistance+(MOSFET Primary Transconductance*Finite Output Resistance*Source Resistance)

Input Resistance of Common-Emitter Amplifier given Emitter Resistance

Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/((Total Resistance+Emitter Resistance)*(Collector Base Current Gain+1)))^-1

Instantaneous Drain Current using Voltage between Drain and Source

Go Drain Current = Transconductance Parameter*(Voltage across Oxide-Threshold Voltage)*Voltage between Gate and Source

Transconductance in Common Source Amplifier

Go MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)

Input Resistance of Common Emitter Amplifier

Go Input Resistance = (1/Base Resistance+1/Base Resistance 2+1/Small Signal Input Resistance)^-1

Input Impedance of Common-Base Amplifier

Go Input Impedance = (1/Emitter Resistance+1/Small Signal Input Resistance)^(-1)

Signal Current in Emitter given Input Signal

Go Signal Current in Emitter = Fundamental Component Voltage/Emitter Resistance

Transconductance using Collector Current of Transistor Amplifier

Go MOSFET Primary Transconductance = Collector Current/Threshold Voltage

Fundamental Voltage in Common-Emitter Amplifier

Go Fundamental Component Voltage = Input Resistance*Base Current

Input Resistance of Common-Collector Amplifier

Go Input Resistance = Fundamental Component Voltage/Base Current

Resistance of Emitter in Common-Base Amplifier

Go Emitter Resistance = Input Voltage/Emitter Current

Emitter Current of Common-Base Amplifier

Go Emitter Current = Input Voltage/Emitter Resistance

Load Voltage of CS Amplifier

Go Load Voltage = Voltage Gain*Input Voltage

Transconductance in Common Source Amplifier Formula

MOSFET Primary Transconductance = Unity Gain Frequency*(Gate to Source Capacitance+Capacitance Gate to Drain)
g_mp = f_ug*(C_gs+C_gd)

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 g_mp 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 (f_ug), Gate to Source Capacitance (C_gs) & Capacitance Gate to Drain (C_gd) 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 g_mp = f_ug*(C_gs+C_gd) 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 (f_ug), Gate to Source Capacitance (C_gs) & Capacitance Gate to Drain (C_gd). 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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