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Upper 3-DB Frequency of Feedback Amplifier Formula

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Upper 3-dB frequency is the cutoff frequency of an electronic amplifier stage at which the output power has dropped to half of its mid-band level. Check FAQs

ω hf = f 3dB \cdot (1 + A m \cdot β)

ω_hf - Upper 3-dB Frequency?f_3dB - 3-dB Frequency?A_m - Mid Band Gain?β - Feedback Factor?

Upper 3-DB Frequency of Feedback Amplifier Example

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Here is how the Upper 3-DB Frequency of Feedback Amplifier equation looks like with Values.

Here is how the Upper 3-DB Frequency of Feedback Amplifier equation looks like with Units.

Here is how the Upper 3-DB Frequency of Feedback Amplifier equation looks like.

30.4169 = 2.9 \cdot (1 + 20.9 \cdot 0.454)

30.4169Hz = 2.9Hz \cdot (1 + 20.9 \cdot 0.454)

30.4169 = 2.9 \cdot (1 + 20.9 \cdot 0.454)

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Upper 3-DB Frequency of Feedback Amplifier Solution

Follow our step by step solution on how to calculate Upper 3-DB Frequency of Feedback Amplifier?

FIRST Step Consider the formula

ω hf = f 3dB \cdot (1 + A m \cdot β)

Next Step Substitute values of Variables

∴

ω hf = 2.9Hz \cdot (1 + 20.9 \cdot 0.454)

Next Step Prepare to Evaluate

∴

ω hf = 2.9 \cdot (1 + 20.9 \cdot 0.454)

Next Step Evaluate

∴

ω hf = 30.41694Hz

LAST Step Rounding Answer

∴

ω hf = 30.4169Hz

Upper 3-DB Frequency of Feedback Amplifier Formula Elements

Variables

Upper 3-dB Frequency

Upper 3-dB frequency is the cutoff frequency of an electronic amplifier stage at which the output power has dropped to half of its mid-band level.

Symbol: ω_hf

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Upper 3-dB Frequency

3-dB Frequency

3-dB Frequency is the point at which the signal has been attenuated by 3dB (in a bandpass filter).

Symbol: f_3dB

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find 3-dB Frequency

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.

Symbol: A_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mid Band Gain

Feedback Factor

The feedback factor of an op-amp application defines the circuit performance.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Feedback Factor

Other formulas in BW Extension and Signal Interference category

Go Amount of Feedback Given Loop Gain

F am = 1 + Aβ

Go Closed-Loop Gain as Function of Ideal Value

A cl = (\frac{1}{β}) \cdot (\frac{1}{1 + (\frac{1}{Aβ})})

Go Gain with Feedback of Feedback Amplifier

A f = \frac{A}{F am}

Go Gain at Mid and High Frequencies

µ = \frac{A m}{1 + (\frac{s}{ω hf})}

How to Evaluate Upper 3-DB Frequency of Feedback Amplifier?

Upper 3-DB Frequency of Feedback Amplifier evaluator uses Upper 3-dB Frequency = 3-dB Frequency*(1+Mid Band Gain*Feedback Factor) to evaluate the Upper 3-dB Frequency, The Upper 3-dB frequency of feedback amplifier 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. Upper 3-dB Frequency is denoted by ω_hf symbol.

How to evaluate Upper 3-DB Frequency of Feedback Amplifier using this online evaluator? To use this online evaluator for Upper 3-DB Frequency of Feedback Amplifier, enter 3-dB Frequency (f_3dB), Mid Band Gain (A_m) & Feedback Factor (β) and hit the calculate button.

FAQs on Upper 3-DB Frequency of Feedback Amplifier

What is the formula to find Upper 3-DB Frequency of Feedback Amplifier?

The formula of Upper 3-DB Frequency of Feedback Amplifier is expressed as Upper 3-dB Frequency = 3-dB Frequency*(1+Mid Band Gain*Feedback Factor). Here is an example- 30.41694 = 2.9*(1+20.9*0.454).

How to calculate Upper 3-DB Frequency of Feedback Amplifier?

With 3-dB Frequency (f_3dB), Mid Band Gain (A_m) & Feedback Factor (β) we can find Upper 3-DB Frequency of Feedback Amplifier using the formula - Upper 3-dB Frequency = 3-dB Frequency*(1+Mid Band Gain*Feedback Factor).

Can the Upper 3-DB Frequency of Feedback Amplifier be negative?

No, the Upper 3-DB Frequency of Feedback Amplifier, measured in Frequency cannot be negative.

Which unit is used to measure Upper 3-DB Frequency of Feedback Amplifier?

Upper 3-DB Frequency of Feedback Amplifier is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Upper 3-DB Frequency of Feedback Amplifier can be measured.

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