Pole Frequency of CS Amplifier Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pole Frequency 1 = 1/(Capacitance of Coupling Capacitor 1*(Input Resistance+Signal Resistance))
ωp1 = 1/(CC1*(Ri+Rs))
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.
Capacitance of Coupling Capacitor 1 - (Measured in Farad) - Capacitance of Coupling Capacitor 1 is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential in capacitor in a low response amplifier.
Input Resistance - (Measured in Ohm) - Input resistance is the value of internal resistance of source.
Signal Resistance - (Measured in Ohm) - Signal Resistance is the resistance which is fed with the signal voltage source Vs to an Amplifier.
STEP 1: Convert Input(s) to Base Unit
Capacitance of Coupling Capacitor 1: 400 Microfarad --> 0.0004 Farad (Check conversion here)
Input Resistance: 16 Kilohm --> 16000 Ohm (Check conversion here)
Signal Resistance: 4.7 Kilohm --> 4700 Ohm (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωp1 = 1/(CC1*(Ri+Rs)) --> 1/(0.0004*(16000+4700))
Evaluating ... ...
ωp1 = 0.120772946859903
STEP 3: Convert Result to Output's Unit
0.120772946859903 Hertz --> No Conversion Required
FINAL ANSWER
0.120772946859903 0.120773 Hertz <-- Pole Frequency 1
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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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 CS Amplifier Formula

Pole Frequency 1 = 1/(Capacitance of Coupling Capacitor 1*(Input Resistance+Signal Resistance))
ωp1 = 1/(CC1*(Ri+Rs))

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 CS Amplifier?

Pole Frequency of CS Amplifier calculator uses Pole Frequency 1 = 1/(Capacitance of Coupling Capacitor 1*(Input Resistance+Signal Resistance)) to calculate the Pole Frequency 1, The Pole frequency of CS Amplifier formula is defined as that frequency at which the transfer function of a system approaches infinity. Pole Frequency 1 is denoted by ωp1 symbol.

How to calculate Pole Frequency of CS Amplifier using this online calculator? To use this online calculator for Pole Frequency of CS Amplifier, enter Capacitance of Coupling Capacitor 1 (CC1), Input Resistance (Ri) & Signal Resistance (Rs) and hit the calculate button. Here is how the Pole Frequency of CS Amplifier calculation can be explained with given input values -> 0.120773 = 1/(0.0004*(16000+4700)).

FAQ

What is Pole Frequency of CS Amplifier?
The Pole frequency of CS Amplifier formula is defined as that frequency at which the transfer function of a system approaches infinity and is represented as ωp1 = 1/(CC1*(Ri+Rs)) or Pole Frequency 1 = 1/(Capacitance of Coupling Capacitor 1*(Input Resistance+Signal Resistance)). Capacitance of Coupling Capacitor 1 is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential in capacitor in a low response amplifier, Input resistance is the value of internal resistance of source & Signal Resistance is the resistance which is fed with the signal voltage source Vs to an Amplifier.
How to calculate Pole Frequency of CS Amplifier?
The Pole frequency of CS Amplifier formula is defined as that frequency at which the transfer function of a system approaches infinity is calculated using Pole Frequency 1 = 1/(Capacitance of Coupling Capacitor 1*(Input Resistance+Signal Resistance)). To calculate Pole Frequency of CS Amplifier, you need Capacitance of Coupling Capacitor 1 (CC1), Input Resistance (Ri) & Signal Resistance (Rs). With our tool, you need to enter the respective value for Capacitance of Coupling Capacitor 1, Input Resistance & Signal Resistance 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 Capacitance of Coupling Capacitor 1, Input Resistance & Signal Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pole Frequency 1 = (Transconductance+1/Resistance)/Bypass Capacitor
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