Source-Degenerated Frequency of CS Amplifier Calculator

✖Time Constant of the response represents the elapsed time required for the system response to decay to zero, where the system had continued to decay at the initial rate.ⓘ Time Constant [T_cs]

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✖Source Degeneration Frequency is frequency response of the amplifier. The source degeneration resistor introduces a pole in the frequency response, affecting the bandwidth of the amplifier.ⓘ Source-Degenerated Frequency of CS Amplifier [f_sd]

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Source-Degenerated Frequency of CS Amplifier

Formula

`"f"_{"sd"} = 1/(2*pi*"T"_{"cs"})`

Example

`"1.989437Hz"=1/(2*pi*"0.08s")`

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Source-Degenerated Frequency of CS Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Source Degeneration Frequency = 1/(2*pi*Time Constant)
f_sd = 1/(2*pi*T_cs)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Source Degeneration Frequency - (Measured in Hertz) - Source Degeneration Frequency is frequency response of the amplifier. The source degeneration resistor introduces a pole in the frequency response, affecting the bandwidth of the amplifier.
Time Constant - (Measured in Second) - Time Constant of the response represents the elapsed time required for the system response to decay to zero, where the system had continued to decay at the initial rate.

STEP 1: Convert Input(s) to Base Unit

Time Constant: 0.08 Second --> 0.08 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_sd = 1/(2*pi*T_cs) --> 1/(2*pi*0.08)

Evaluating ... ...

f_sd = 1.98943678864869

STEP 3: Convert Result to Output's Unit

1.98943678864869 Hertz --> No Conversion Required

FINAL ANSWER

1.98943678864869 ≈ 1.989437 Hertz <-- Source Degeneration Frequency

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electronics » Amplifiers » High Frequency Response Amplifiers » Response of CS Amplifier » Source-Degenerated Frequency of CS Amplifier

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

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CVR COLLEGE OF ENGINEERING (CVR), India

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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 Frequency of CS Amplifier Formula

Source Degeneration Frequency = 1/(2*pi*Time Constant)
f_sd = 1/(2*pi*T_cs)

Why does the frequency in the formula increase when the time constant decreases?

The cutoff frequency is inversely proportional to the time constant in the formula. A smaller time constant implies a faster rate of change in the circuit, allowing higher-frequency signals to pass through. Therefore, as the time constant decreases, the circuit becomes more responsive to higher frequencies, leading to an increase in the cutoff frequency.

How to Calculate Source-Degenerated Frequency of CS Amplifier?

Source-Degenerated Frequency of CS Amplifier calculator uses Source Degeneration Frequency = 1/(2*pi*Time Constant) to calculate the Source Degeneration Frequency, Source-Degenerated Frequency of CS Amplifier is frequency response of the amplifier. The source degeneration resistor introduces a pole in the frequency response, affecting the bandwidth of the amplifier. Source Degeneration Frequency is denoted by f_sd symbol.

How to calculate Source-Degenerated Frequency of CS Amplifier using this online calculator? To use this online calculator for Source-Degenerated Frequency of CS Amplifier, enter Time Constant (T_cs) and hit the calculate button. Here is how the Source-Degenerated Frequency of CS Amplifier calculation can be explained with given input values -> 1.989437 = 1/(2*pi*0.08).

FAQ

What is Source-Degenerated Frequency of CS Amplifier?

Source-Degenerated Frequency of CS Amplifier is frequency response of the amplifier. The source degeneration resistor introduces a pole in the frequency response, affecting the bandwidth of the amplifier and is represented as f_sd = 1/(2*pi*T_cs) or Source Degeneration Frequency = 1/(2*pi*Time Constant). Time Constant of the response represents the elapsed time required for the system response to decay to zero, where the system had continued to decay at the initial rate.

How to calculate Source-Degenerated Frequency of CS Amplifier?

Source-Degenerated Frequency of CS Amplifier is frequency response of the amplifier. The source degeneration resistor introduces a pole in the frequency response, affecting the bandwidth of the amplifier is calculated using Source Degeneration Frequency = 1/(2*pi*Time Constant). To calculate Source-Degenerated Frequency of CS Amplifier, you need Time Constant (T_cs). With our tool, you need to enter the respective value for Time Constant 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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