3 DB Frequency of CS Amplifier without Dominant Poles Calculator

✖Pole frequency 1 is that frequency at which the transfer function of a system approaches infinity.ⓘ Pole Frequency 1 [ω_p1]			+10% -10%
✖The frequency of Dominant Pole is the lowest frequency because it dominates the effect of all of the higher frequency poles.ⓘ Frequency of Dominant Pole [f_P]			+10% -10%
✖Pole frequency 3 is that frequency at which the transfer function of a system approaches infinity.ⓘ Pole Frequency 3 [ω_p3]			+10% -10%
✖Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.ⓘ Frequency [f]			+10% -10%

✖3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).ⓘ 3 DB Frequency of CS Amplifier without Dominant Poles [f_L]

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3 DB Frequency of CS Amplifier without Dominant Poles

Formula

`"f"_{"L"} = sqrt("ω"_{"p1"}^2+"f"_{"P"}^2+"ω"_{"p3"}^2-(2*"f"^2))`

Example

`"42.42688Hz"=sqrt(("0.2Hz")^2+("80Hz")^2+("20Hz")^2-(2*("50Hz")^2))`

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3 DB Frequency of CS Amplifier without Dominant Poles Solution

STEP 0: Pre-Calculation Summary

Formula Used

3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2))
f_L = sqrt(ω_p1^2+f_P^2+ω_p3^2-(2*f^2))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

3-dB Frequency - (Measured in Hertz) - 3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).
Pole Frequency 1 - (Measured in Hertz) - Pole frequency 1 is that frequency at which the transfer function of a system approaches infinity.
Frequency of Dominant Pole - (Measured in Hertz) - The frequency of Dominant Pole is the lowest frequency because it dominates the effect of all of the higher frequency poles.
Pole Frequency 3 - (Measured in Hertz) - Pole frequency 3 is that frequency at which the transfer function of a system approaches infinity.
Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.

STEP 1: Convert Input(s) to Base Unit

Pole Frequency 1: 0.2 Hertz --> 0.2 Hertz No Conversion Required
Frequency of Dominant Pole: 80 Hertz --> 80 Hertz No Conversion Required
Pole Frequency 3: 20 Hertz --> 20 Hertz No Conversion Required
Frequency: 50 Hertz --> 50 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_L = sqrt(ω_p1^2+f_P^2+ω_p3^2-(2*f^2)) --> sqrt(0.2^2+80^2+20^2-(2*50^2))

Evaluating ... ...

f_L = 42.4268782730948

STEP 3: Convert Result to Output's Unit

42.4268782730948 Hertz --> No Conversion Required

FINAL ANSWER

42.4268782730948 ≈ 42.42688 Hertz <-- 3-dB Frequency

(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)

3 DB Frequency of CS Amplifier without Dominant Poles Formula

3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2))
f_L = sqrt(ω_p1^2+f_P^2+ω_p3^2-(2*f^2))

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 3 DB Frequency of CS Amplifier without Dominant Poles?

3 DB Frequency of CS Amplifier without Dominant Poles calculator uses 3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2)) to calculate the 3-dB Frequency, The 3 dB frequency of CS amplifier without dominant poles formula is defined as the point at which the signal has been attenuated by 3dB (in a bandpass filter). This is generally considered the point for determining the filter's bandwidth. The bandwidth is defined as the difference between the upper and lower 3dB points. 3-dB Frequency is denoted by f_L symbol.

How to calculate 3 DB Frequency of CS Amplifier without Dominant Poles using this online calculator? To use this online calculator for 3 DB Frequency of CS Amplifier without Dominant Poles, enter Pole Frequency 1 (ω_p1), Frequency of Dominant Pole (f_P), Pole Frequency 3 (ω_p3) & Frequency (f) and hit the calculate button. Here is how the 3 DB Frequency of CS Amplifier without Dominant Poles calculation can be explained with given input values -> 42.42688 = sqrt(0.2^2+80^2+20^2-(2*50^2)).

FAQ

What is 3 DB Frequency of CS Amplifier without Dominant Poles?

The 3 dB frequency of CS amplifier without dominant poles formula is defined as the point at which the signal has been attenuated by 3dB (in a bandpass filter). This is generally considered the point for determining the filter's bandwidth. The bandwidth is defined as the difference between the upper and lower 3dB points and is represented as f_L = sqrt(ω_p1^2+f_P^2+ω_p3^2-(2*f^2)) or 3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2)). Pole frequency 1 is that frequency at which the transfer function of a system approaches infinity, The frequency of Dominant Pole is the lowest frequency because it dominates the effect of all of the higher frequency poles, Pole frequency 3 is that frequency at which the transfer function of a system approaches infinity & Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.

How to calculate 3 DB Frequency of CS Amplifier without Dominant Poles?

The 3 dB frequency of CS amplifier without dominant poles formula is defined as the point at which the signal has been attenuated by 3dB (in a bandpass filter). This is generally considered the point for determining the filter's bandwidth. The bandwidth is defined as the difference between the upper and lower 3dB points is calculated using 3-dB Frequency = sqrt(Pole Frequency 1^2+Frequency of Dominant Pole^2+Pole Frequency 3^2-(2*Frequency^2)). To calculate 3 DB Frequency of CS Amplifier without Dominant Poles, you need Pole Frequency 1 (ω_p1), Frequency of Dominant Pole (f_P), Pole Frequency 3 (ω_p3) & Frequency (f). With our tool, you need to enter the respective value for Pole Frequency 1, Frequency of Dominant Pole, Pole Frequency 3 & Frequency 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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