Lower 3-DB Frequency in Bandwidth Extension Calculator

✖3-dB Frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).ⓘ 3-dB Frequency [f_3dB]			+10% -10%
✖The Mid band Gain of a transistor is the transistor's gain at its mid frequencies; the mid band gain is where the transistor's gain is at the highest and most constant level in its bandwidth.ⓘ Mid Band Gain [A_m]			+10% -10%
✖The feedback factor of an op-amp application defines the circuit performance.ⓘ Feedback Factor [β]			+10% -10%

✖Lower 3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).ⓘ Lower 3-DB Frequency in Bandwidth Extension [ω_Lf]

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Lower 3-DB Frequency in Bandwidth Extension Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor))
ω_Lf = f_3dB/(1+(A_m*β))
This formula uses 4 Variables

Variables Used

Lower 3-dB Frequency - (Measured in Hertz) - Lower 3-dB frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).
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).
Mid Band Gain - The Mid band Gain of a transistor is the transistor's gain at its mid frequencies; the mid band gain is where the transistor's gain is at the highest and most constant level in its bandwidth.
Feedback Factor - The feedback factor of an op-amp application defines the circuit performance.

STEP 1: Convert Input(s) to Base Unit

3-dB Frequency: 2.9 Hertz --> 2.9 Hertz No Conversion Required
Mid Band Gain: 20.9 --> No Conversion Required
Feedback Factor: 0.454 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_Lf = f_3dB/(1+(A_m*β)) --> 2.9/(1+(20.9*0.454))

Evaluating ... ...

ω_Lf = 0.27649066605648

STEP 3: Convert Result to Output's Unit

0.27649066605648 Hertz --> No Conversion Required

FINAL ANSWER

0.27649066605648 ≈ 0.276491 Hertz <-- Lower 3-dB Frequency

(Calculation completed in 00.020 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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National Institute Of Technology (NIT), Hamirpur

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< BW Extension and Signal Interference Calculators

Gain with Feedback at Mid and High Frequency

LaTeX Go Gain with Feedback = (Mid Band Gain/(1+(Mid Band Gain*Feedback Factor)))/((1+(Complex Frequency Variable/Upper 3-dB Frequency)*(1+(Mid Band Gain*Feedback Factor))))

Gain at Mid and High Frequencies

LaTeX Go Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency))

Signal-to-Interference Ratio at Output

LaTeX Go Signal to Interference Ratio = (Source Voltage/Voltage Interference)*Gain Factor

Lower 3-DB Frequency in Bandwidth Extension

LaTeX Go Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor))

< Negative Feedback Amplifiers Calculators

Gain at Mid and High Frequencies

LaTeX Go Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency))

Gain with Feedback of Feedback Amplifier

LaTeX Go Gain with Feedback = (Open Loop Gain of an Operational Amplifier)/Amount of Feedback

Closed-Loop Gain as Function of Ideal Value

LaTeX Go Closed-Loop Gain = (1/Feedback Factor)*(1/(1+(1/Loop Gain)))

Amount of Feedback Given Loop Gain

LaTeX Go Amount of Feedback = 1+Loop Gain

Lower 3-DB Frequency in Bandwidth Extension Formula

LaTeX Go

Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor))
ω_Lf = f_3dB/(1+(A_m*β))

What is the effect of negative feedback on an amplifier?

Negative feedback reduces the gain of the amplifier. It also reduces distortion, noise, and instability. This feedback increases bandwidth and improves input and output impedances. Due to these advantages, negative feedback is frequently used in amplifiers.

How to Calculate Lower 3-DB Frequency in Bandwidth Extension?

Lower 3-DB Frequency in Bandwidth Extension calculator uses Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor)) to calculate the Lower 3-dB Frequency, The Lower 3-dB frequency in bandwidth extension formula is defined as point at which signal has been attenuated by 3dB (in bandpass filter). This is generally considered point for determining filter's bandwidth. bandwidth is defined as difference between upper and lower 3dB points. Lower 3-dB Frequency is denoted by ω_Lf symbol.

How to calculate Lower 3-DB Frequency in Bandwidth Extension using this online calculator? To use this online calculator for Lower 3-DB Frequency in Bandwidth Extension, enter 3-dB Frequency (f_3dB), Mid Band Gain (A_m) & Feedback Factor (β) and hit the calculate button. Here is how the Lower 3-DB Frequency in Bandwidth Extension calculation can be explained with given input values -> 0.276491 = 2.9/(1+(20.9*0.454)).

FAQ

What is Lower 3-DB Frequency in Bandwidth Extension?

The Lower 3-dB frequency in bandwidth extension formula is defined as point at which signal has been attenuated by 3dB (in bandpass filter). This is generally considered point for determining filter's bandwidth. bandwidth is defined as difference between upper and lower 3dB points and is represented as ω_Lf = f_3dB/(1+(A_m*β)) or Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor)). 3-dB Frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter), The Mid band Gain of a transistor is the transistor's gain at its mid frequencies; the mid band gain is where the transistor's gain is at the highest and most constant level in its bandwidth & The feedback factor of an op-amp application defines the circuit performance.

How to calculate Lower 3-DB Frequency in Bandwidth Extension?

The Lower 3-dB frequency in bandwidth extension formula is defined as point at which signal has been attenuated by 3dB (in bandpass filter). This is generally considered point for determining filter's bandwidth. bandwidth is defined as difference between upper and lower 3dB points is calculated using Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor)). To calculate Lower 3-DB Frequency in Bandwidth Extension, you need 3-dB Frequency (f_3dB), Mid Band Gain (A_m) & Feedback Factor (β). With our tool, you need to enter the respective value for 3-dB Frequency, Mid Band Gain & Feedback Factor 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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