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Gain with Feedback at Mid and High Frequency Formula

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Gain with feedback is the gain of the feedback amplifier, known as the closed-loop gain or the gain-with-feedback. Check FAQs

A f = \frac{\frac{A m}{1 + (A m \cdot β)}}{(1 + (\frac{s}{ω hf}) \cdot (1 + (A m \cdot β)))}

A_f - Gain with Feedback?A_m - Mid Band Gain?β - Feedback Factor?s - Complex Frequency Variable?ω_hf - Upper 3-dB Frequency?

Gain with Feedback at Mid and High Frequency Example

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Here is how the Gain with Feedback at Mid and High Frequency equation looks like with Values.

Here is how the Gain with Feedback at Mid and High Frequency equation looks like with Units.

Here is how the Gain with Feedback at Mid and High Frequency equation looks like.

1.1793 = \frac{\frac{20.9}{1 + (20.9 \cdot 0.454)}}{(1 + (\frac{2}{30.417}) \cdot (1 + (20.9 \cdot 0.454)))}

1.1793 = \frac{\frac{20.9}{1 + (20.9 \cdot 0.454)}}{(1 + (\frac{2Hz}{30.417Hz}) \cdot (1 + (20.9 \cdot 0.454)))}

1.1793 = \frac{\frac{20.9}{1 + (20.9 \cdot 0.454)}}{(1 + (\frac{2}{30.417}) \cdot (1 + (20.9 \cdot 0.454)))}

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Gain with Feedback at Mid and High Frequency Solution

Follow our step by step solution on how to calculate Gain with Feedback at Mid and High Frequency?

FIRST Step Consider the formula

A f = \frac{\frac{A m}{1 + (A m \cdot β)}}{(1 + (\frac{s}{ω hf}) \cdot (1 + (A m \cdot β)))}

Next Step Substitute values of Variables

∴

A f = \frac{\frac{20.9}{1 + (20.9 \cdot 0.454)}}{(1 + (\frac{2Hz}{30.417Hz}) \cdot (1 + (20.9 \cdot 0.454)))}

Next Step Prepare to Evaluate

∴

A f = \frac{\frac{20.9}{1 + (20.9 \cdot 0.454)}}{(1 + (\frac{2}{30.417}) \cdot (1 + (20.9 \cdot 0.454)))}

Next Step Evaluate

∴

A f = 1.1793182802413

LAST Step Rounding Answer

∴

A f = 1.1793

Gain with Feedback at Mid and High Frequency Formula Elements

Variables

Gain with Feedback

Gain with feedback is the gain of the feedback amplifier, known as the closed-loop gain or the gain-with-feedback.

Symbol: A_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gain with Feedback

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

Complex Frequency Variable

Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave.

Symbol: s

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Complex Frequency Variable

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

Other formulas in BW Extension and Signal Interference category

Go Gain at Mid and High Frequencies

µ = \frac{A m}{1 + (\frac{s}{ω hf})}

Go Lower 3-DB Frequency in Bandwidth Extension

ω Lf = \frac{f 3dB}{1 + (A m \cdot β)}

Go Signal-to-Interference Ratio at Output

S ir = (\frac{V s}{V n}) \cdot µ

Go Upper 3-DB Frequency of Feedback Amplifier

ω hf = f 3dB \cdot (1 + A m \cdot β)

How to Evaluate Gain with Feedback at Mid and High Frequency?

Gain with Feedback at Mid and High Frequency evaluator uses 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)))) to evaluate the Gain with Feedback, Gain with Feedback at Mid and High Frequency formula refers to the amplification level of a system, adjusted using feedback mechanisms, specifically targeting the middle and higher ranges of the audible spectrum for precise control and stability. Gain with Feedback is denoted by A_f symbol.

How to evaluate Gain with Feedback at Mid and High Frequency using this online evaluator? To use this online evaluator for Gain with Feedback at Mid and High Frequency, enter Mid Band Gain (A_m), Feedback Factor (β), Complex Frequency Variable (s) & Upper 3-dB Frequency (ω_hf) and hit the calculate button.

FAQs on Gain with Feedback at Mid and High Frequency

What is the formula to find Gain with Feedback at Mid and High Frequency?

The formula of Gain with Feedback at Mid and High Frequency is expressed as 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)))). Here is an example- 1.407838 = (20.9/(1+(20.9*0.454)))/((1+(2/30.417)*(1+(20.9*0.454)))).

How to calculate Gain with Feedback at Mid and High Frequency?

With Mid Band Gain (A_m), Feedback Factor (β), Complex Frequency Variable (s) & Upper 3-dB Frequency (ω_hf) we can find Gain with Feedback at Mid and High Frequency using the formula - 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)))).

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Gain with Feedback at Mid and High Frequency Formula

Gain with Feedback at Mid and High Frequency Example

Gain with Feedback at Mid and High Frequency Solution

Gain with Feedback at Mid and High Frequency Formula Elements

Other formulas in BW Extension and Signal Interference category

How to Evaluate Gain with Feedback at Mid and High Frequency?

FAQs on Gain with Feedback at Mid and High Frequency

Variable Name