Source-Degenerated Transconductance of CS Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Source Degenerated Transconductance = Transconductance/(1+Transconductance*Source-Degenerated Resistance)
gsd = gm/(1+gm*Rsd)
This formula uses 3 Variables
Variables Used
Source Degenerated Transconductance - (Measured in Siemens) - Source Degenerated Transconductance is a method in electronics where a resistor is used in the source of a transistor to control its amplification capability, enhancing stability and linearity.
Transconductance - (Measured in Siemens) - Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device.
Source-Degenerated Resistance - (Measured in Ohm) - Source-degenerated resistance refers to an increased resistance at the source terminal in a transistor due to added external components.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 4.8 Millisiemens --> 0.0048 Siemens (Check conversion ​here)
Source-Degenerated Resistance: 0.75 Kilohm --> 750 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
gsd = gm/(1+gm*Rsd) --> 0.0048/(1+0.0048*750)
Evaluating ... ...
gsd = 0.00104347826086957
STEP 3: Convert Result to Output's Unit
0.00104347826086957 Siemens -->1.04347826086957 Millisiemens (Check conversion ​here)
FINAL ANSWER
1.04347826086957 1.043478 Millisiemens <-- Source Degenerated Transconductance
(Calculation completed in 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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19 Response of CS Amplifier Calculators

Source-Degenerated Time Constant of CS Amplifier
​ Go Source Degenerated Time Constant = Gate to Source Capacitance*Source Resistance Amplifier+Gate to Drain Capacitance*Resistance across Gate and Drain+Capacitance*Resistance
Test Current in Open Circuit Time Constants Method of CS Amplifier
​ Go Test Current = Transconductance*Gate to Source Voltage+(Test Voltage+Gate to Source Voltage)/Load Resistance
Source-Degenerated Output Resistance of CS Amplifier
​ Go Source Degenerated Output Resistance = Finite Output Resistance*(1+(Transconductance*Source-Degenerated Resistance))
Source-Degenerated Transconductance of CS Amplifier
​ Go Source Degenerated Transconductance = Transconductance/(1+Transconductance*Source-Degenerated Resistance)
Source-Degenerated Gain-Bandwidth Product of CS Amplifier
​ Go Source Degenerated Gain Bandwidth Product = 1/(2*pi*Gate to Drain Capacitance*Signal Resistance)
Low-Frequency Voltage Gain of CS Amplifier
​ Go Low-Frequency Gain = -Short Circuit Transconductance*(1/Output Resistance+1/Load Resistance)
Load Resistance of CS Amplifier
​ Go Load Resistance = (Output Voltage/(Transconductance*Gate to Source Voltage))
High-Frequency Response given Input Capacitance
​ Go High Frequency Response = 1/(2*pi*Signal Resistance*Input Capacitance)
Output Voltage of CS Amplifier
​ Go Output Voltage = Transconductance*Gate to Source Voltage*Load Resistance
Equivalent Signal Resistance of CS Amplifier
​ Go Internal Small Signal Resistance = 1/((1/Signal Resistance+1/Output Resistance))
Source-Degenerated Resistance across CS Amplifier
​ Go Source-Degenerated Resistance = 1/((1/Output Resistance)+(1/Load Resistance))
Frequency of Zero Transmission of CS Amplifier
​ Go Transmission Frequency = 1/(Bypass Capacitor*Signal Resistance)
Bypass Capacitance of CS Amplifier
​ Go Bypass Capacitor = 1/(Transmission Frequency*Signal Resistance)
Source-Degenerated Frequency of CS Amplifier
​ Go Source Degeneration Frequency = 1/(2*pi*Time Constant)
Drain Voltage through Method of Open-Circuit Time Constants to CS Amplifier
​ Go Drain Voltage = Test Voltage+Gate to Source Voltage
Source Voltage of CS Amplifier
​ Go Gate to Source Voltage = Drain Voltage-Test Voltage
Midband Gain of CS Amplifier
​ Go Mid Band Gain = Output Voltage/Small Signal Voltage
Resistance between Gate and Drain in Open Circuit Time Constants Method of CS Amplifier
​ Go Resistance = Test Voltage/Test Current
Current Gain of CS Amplifier
​ Go Current Gain = Power Gain/Voltage Gain

Source-Degenerated Transconductance of CS Amplifier Formula

Source Degenerated Transconductance = Transconductance/(1+Transconductance*Source-Degenerated Resistance)
gsd = gm/(1+gm*Rsd)

What is wideband amplifier? What is source degeneration?

The wideband amplifier, will be used to supply power to integrated circuits, the operational amplifiers will have a load at their outputs. As the load resistance increases, the op-amp's output resistance becomes less dominant, specifically in the low frequency range.

Source degeneration boosts the output impedance, but decreases the usable output swing.

How to Calculate Source-Degenerated Transconductance of CS Amplifier?

Source-Degenerated Transconductance of CS Amplifier calculator uses Source Degenerated Transconductance = Transconductance/(1+Transconductance*Source-Degenerated Resistance) to calculate the Source Degenerated Transconductance, Source-Degenerated Transconductance of CS Amplifier formula is defined as the electrical characteristic relating the current through the output of a device to the voltage across the input of a device. Conductance is the reciprocal of resistance. Source Degenerated Transconductance is denoted by gsd symbol.

How to calculate Source-Degenerated Transconductance of CS Amplifier using this online calculator? To use this online calculator for Source-Degenerated Transconductance of CS Amplifier, enter Transconductance (gm) & Source-Degenerated Resistance (Rsd) and hit the calculate button. Here is how the Source-Degenerated Transconductance of CS Amplifier calculation can be explained with given input values -> 1043.478 = 0.0048/(1+0.0048*750).

FAQ

What is Source-Degenerated Transconductance of CS Amplifier?
Source-Degenerated Transconductance of CS Amplifier formula is defined as the electrical characteristic relating the current through the output of a device to the voltage across the input of a device. Conductance is the reciprocal of resistance and is represented as gsd = gm/(1+gm*Rsd) or Source Degenerated Transconductance = Transconductance/(1+Transconductance*Source-Degenerated Resistance). Transconductance is the ratio of the change in current at the output terminal to the change in the voltage at the input terminal of an active device & Source-degenerated resistance refers to an increased resistance at the source terminal in a transistor due to added external components.
How to calculate Source-Degenerated Transconductance of CS Amplifier?
Source-Degenerated Transconductance of CS Amplifier formula is defined as the electrical characteristic relating the current through the output of a device to the voltage across the input of a device. Conductance is the reciprocal of resistance is calculated using Source Degenerated Transconductance = Transconductance/(1+Transconductance*Source-Degenerated Resistance). To calculate Source-Degenerated Transconductance of CS Amplifier, you need Transconductance (gm) & Source-Degenerated Resistance (Rsd). With our tool, you need to enter the respective value for Transconductance & Source-Degenerated Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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