Source-Degenerated Output Resistance of CS Amplifier Calculator

✖The finite output resistance is the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source.ⓘ Finite Output Resistance [R_fo]			+10% -10%
✖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.ⓘ Transconductance [g_m]			+10% -10%
✖Source-degenerated resistance refers to an increased resistance at the source terminal in a transistor due to added external components.ⓘ Source-Degenerated Resistance [R_sd]			+10% -10%

✖Source Degenerated Output Resistance is the effective resistance seen at the output of a source-degenerated amplifier.ⓘ Source-Degenerated Output Resistance of CS Amplifier [R_osd]

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Formula

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Source-Degenerated Output Resistance of CS Amplifier

Formula

`"R"_{"osd"} = "R"_{"fo"}*(1+("g"_{"m"}*"R"_{"sd"}))`

Example

`"0.1288kΩ"="0.028kΩ"*(1+("4.8mS"*"0.75kΩ"))`

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Source-Degenerated Output Resistance of CS Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Source Degenerated Output Resistance = Finite Output Resistance*(1+(Transconductance*Source-Degenerated Resistance))
R_osd = R_fo*(1+(g_m*R_sd))
This formula uses 4 Variables

Variables Used

Source Degenerated Output Resistance - (Measured in Ohm) - Source Degenerated Output Resistance is the effective resistance seen at the output of a source-degenerated amplifier.
Finite Output Resistance - (Measured in Ohm) - The finite output resistance is the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source.
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

Finite Output Resistance: 0.028 Kilohm --> 28 Ohm (Check conversion here)
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

R_osd = R_fo*(1+(g_m*R_sd)) --> 28*(1+(0.0048*750))

Evaluating ... ...

R_osd = 128.8

STEP 3: Convert Result to Output's Unit

128.8 Ohm -->0.1288 Kilohm (Check conversion here)

FINAL ANSWER

0.1288 Kilohm <-- Source Degenerated Output Resistance

(Calculation completed in 00.004 seconds)

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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 Output Resistance of CS Amplifier Formula

Source Degenerated Output Resistance = Finite Output Resistance*(1+(Transconductance*Source-Degenerated Resistance))
R_osd = R_fo*(1+(g_m*R_sd))

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 Output Resistance of CS Amplifier?

Source-Degenerated Output Resistance of CS Amplifier calculator uses Source Degenerated Output Resistance = Finite Output Resistance*(1+(Transconductance*Source-Degenerated Resistance)) to calculate the Source Degenerated Output Resistance, Source-Degenerated Output Resistance of CS Amplifier formula in an electrical network is the measure of the opposition to current flow (impedance), both static (resistance) and dynamic (reactance), into the load network being connected that is internal to the electrical source. Source Degenerated Output Resistance is denoted by R_osd symbol.

How to calculate Source-Degenerated Output Resistance of CS Amplifier using this online calculator? To use this online calculator for Source-Degenerated Output Resistance of CS Amplifier, enter Finite Output Resistance (R_fo), Transconductance (g_m) & Source-Degenerated Resistance (R_sd) and hit the calculate button. Here is how the Source-Degenerated Output Resistance of CS Amplifier calculation can be explained with given input values -> 0.000129 = 28*(1+(0.0048*750)).

FAQ

What is Source-Degenerated Output Resistance of CS Amplifier?

Source-Degenerated Output Resistance of CS Amplifier formula in an electrical network is the measure of the opposition to current flow (impedance), both static (resistance) and dynamic (reactance), into the load network being connected that is internal to the electrical source and is represented as R_osd = R_fo*(1+(g_m*R_sd)) or Source Degenerated Output Resistance = Finite Output Resistance*(1+(Transconductance*Source-Degenerated Resistance)). The finite output resistance is the measure of the opposition to current flow, both static and dynamic, into the load network being connected that is internal to the electrical source, 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 Output Resistance of CS Amplifier?

Source-Degenerated Output Resistance of CS Amplifier formula in an electrical network is the measure of the opposition to current flow (impedance), both static (resistance) and dynamic (reactance), into the load network being connected that is internal to the electrical source is calculated using Source Degenerated Output Resistance = Finite Output Resistance*(1+(Transconductance*Source-Degenerated Resistance)). To calculate Source-Degenerated Output Resistance of CS Amplifier, you need Finite Output Resistance (R_fo), Transconductance (g_m) & Source-Degenerated Resistance (R_sd). With our tool, you need to enter the respective value for Finite Output Resistance, 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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