Pole Frequency of Bypass Capacitor in CS Amplifier Calculator

✖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 [g_m]			+10% -10%
✖Resistance is defined as the total resistance of the circuit is found by simply adding up the resistance values of the individual resistors.ⓘ Resistance [R]			+10% -10%
✖Bypass capacitors are used to maintain low power supply impedance at the point of load.ⓘ Bypass Capacitor [C_s]			+10% -10%

✖Pole frequency 1 is that frequency at which the transfer function of a system approaches infinity.ⓘ Pole Frequency of Bypass Capacitor in CS Amplifier [ω_p1]

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Pole Frequency of Bypass Capacitor in CS Amplifier

Formula

`"ω"_{"p1"} = ("g"_{"m"}+1/"R")/"C"_{"s"}`

Example

`"62.625Hz"=("0.25S"+1/"2kΩ")/"4000μF"`

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Pole Frequency of Bypass Capacitor in CS Amplifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pole Frequency 1 = (Transconductance+1/Resistance)/Bypass Capacitor
ω_p1 = (g_m+1/R)/C_s
This formula uses 4 Variables

Variables Used

Pole Frequency 1 - (Measured in Hertz) - Pole frequency 1 is that frequency at which the transfer function of a system approaches infinity.
Transconductance - (Measured in Siemens) - Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage.
Resistance - (Measured in Ohm) - Resistance is defined as the total resistance of the circuit is found by simply adding up the resistance values of the individual resistors.
Bypass Capacitor - (Measured in Farad) - Bypass capacitors are used to maintain low power supply impedance at the point of load.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 0.25 Siemens --> 0.25 Siemens No Conversion Required
Resistance: 2 Kilohm --> 2000 Ohm (Check conversion here)
Bypass Capacitor: 4000 Microfarad --> 0.004 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_p1 = (g_m+1/R)/C_s --> (0.25+1/2000)/0.004

Evaluating ... ...

ω_p1 = 62.625

STEP 3: Convert Result to Output's Unit

62.625 Hertz --> No Conversion Required

FINAL ANSWER

62.625 Hertz <-- Pole Frequency 1

(Calculation completed in 00.004 seconds)

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< 6 Response of CS Amplifier Calculators

Output Voltage of Low Frequency Amplifier

Go Output Voltage = Small Signal Voltage*Mid Band Gain*(Frequency/(Frequency+Pole Frequency 1))*(Frequency/(Frequency+Pole Frequency 2))*(Frequency/(Frequency+Pole Frequency 3))

Mid-Band Gain of CS Amplifier

Go Mid Band Gain = -(Input Resistance/(Input Resistance+Signal Resistance))*Transconductance*((1/Drain Resistance)+(1/Load Resistance))

3 DB Frequency of CS Amplifier without Dominant Poles

Go 3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2))

Pole Frequency of CS Amplifier

Go Pole Frequency 1 = 1/(Capacitance of Coupling Capacitor 1*(Input Resistance+Signal Resistance))

Pole Frequency of Bypass Capacitor in CS Amplifier

Go Pole Frequency 1 = (Transconductance+1/Resistance)/Bypass Capacitor

Frequency at Zero Transmission of CS Amplifier

Go Frequency = Transconductance/(2*pi*Capacitance Gate to Drain)

Pole Frequency of Bypass Capacitor in CS Amplifier Formula

Pole Frequency 1 = (Transconductance+1/Resistance)/Bypass Capacitor
ω_p1 = (g_m+1/R)/C_s

What is CS amplifier?

In electronics, a common-source amplifier is one of three basic single-stage field-effect transistor (FET) amplifier topologies, typically used as a voltage or transconductance amplifier. The easiest way to tell if a FET is a common source, common drain, or common gate is to examine where the signal enters and leaves.

How to Calculate Pole Frequency of Bypass Capacitor in CS Amplifier?

Pole Frequency of Bypass Capacitor in CS Amplifier calculator uses Pole Frequency 1 = (Transconductance+1/Resistance)/Bypass Capacitor to calculate the Pole Frequency 1, The Pole frequency of bypass capacitor in CS Amplifier formula is defined as that frequency at which the transfer function of a system approaches infinity. Pole Frequency 1 is denoted by ω_p1 symbol.

How to calculate Pole Frequency of Bypass Capacitor in CS Amplifier using this online calculator? To use this online calculator for Pole Frequency of Bypass Capacitor in CS Amplifier, enter Transconductance (g_m), Resistance (R) & Bypass Capacitor (C_s) and hit the calculate button. Here is how the Pole Frequency of Bypass Capacitor in CS Amplifier calculation can be explained with given input values -> 62.625 = (0.25+1/2000)/0.004.

FAQ

What is Pole Frequency of Bypass Capacitor in CS Amplifier?

The Pole frequency of bypass capacitor in CS Amplifier formula is defined as that frequency at which the transfer function of a system approaches infinity and is represented as ω_p1 = (g_m+1/R)/C_s or Pole Frequency 1 = (Transconductance+1/Resistance)/Bypass Capacitor. Transconductance is the change in the drain current divided by the small change in the gate/source voltage with a constant drain/source voltage, Resistance is defined as the total resistance of the circuit is found by simply adding up the resistance values of the individual resistors & Bypass capacitors are used to maintain low power supply impedance at the point of load.

How to calculate Pole Frequency of Bypass Capacitor in CS Amplifier?

The Pole frequency of bypass capacitor in CS Amplifier formula is defined as that frequency at which the transfer function of a system approaches infinity is calculated using Pole Frequency 1 = (Transconductance+1/Resistance)/Bypass Capacitor. To calculate Pole Frequency of Bypass Capacitor in CS Amplifier, you need Transconductance (g_m), Resistance (R) & Bypass Capacitor (C_s). With our tool, you need to enter the respective value for Transconductance, Resistance & Bypass Capacitor 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 Pole Frequency 1?

In this formula, Pole Frequency 1 uses Transconductance, Resistance & Bypass Capacitor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pole Frequency 1 = 1/(Capacitance of Coupling Capacitor 1*(Input Resistance+Signal Resistance))

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