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Gain at Mid and High Frequencies Formula

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Gain factor of an amplifier is the factor by which the input power is amplified. Check FAQs

µ = \frac{A m}{1 + (\frac{s}{ω hf})}

µ - Gain Factor?A_m - Mid Band Gain?s - Complex Frequency Variable?ω_hf - Upper 3-dB Frequency?

Gain at Mid and High Frequencies Example

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

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

Here is how the Gain at Mid and High Frequencies equation looks like.

19.6106 = \frac{20.9}{1 + (\frac{2}{30.417})}

19.6106 = \frac{20.9}{1 + (\frac{2Hz}{30.417Hz})}

19.6106 = \frac{20.9}{1 + (\frac{2}{30.417})}

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Gain at Mid and High Frequencies Solution

Follow our step by step solution on how to calculate Gain at Mid and High Frequencies?

FIRST Step Consider the formula

µ = \frac{A m}{1 + (\frac{s}{ω hf})}

Next Step Substitute values of Variables

∴

µ = \frac{20.9}{1 + (\frac{2Hz}{30.417Hz})}

Next Step Prepare to Evaluate

∴

µ = \frac{20.9}{1 + (\frac{2}{30.417})}

Next Step Evaluate

∴

µ = 19.6105531048524

LAST Step Rounding Answer

∴

µ = 19.6106

Gain at Mid and High Frequencies Formula Elements

Variables

Gain Factor

Gain factor of an amplifier is the factor by which the input power is amplified.

Symbol: µ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Gain Factor

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

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 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 Lower 3-DB Frequency in Bandwidth Extension

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

How to Evaluate Gain at Mid and High Frequencies?

Gain at Mid and High Frequencies evaluator uses Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency)) to evaluate the Gain Factor, Gain at Mid and High Frequencies formula is defined as electronic device or circuit that generally varies with frequency of applied signal. Unless otherwise stated, term refers to gain for frequencies in passband, intended operating frequency range of equipment. Gain Factor is denoted by µ symbol.

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

FAQs on Gain at Mid and High Frequencies

What is the formula to find Gain at Mid and High Frequencies?

The formula of Gain at Mid and High Frequencies is expressed as Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency)). Here is an example- 19.61055 = 20.9/(1+(2/30.417)).

How to calculate Gain at Mid and High Frequencies?

With Mid Band Gain (A_m), Complex Frequency Variable (s) & Upper 3-dB Frequency (ω_hf) we can find Gain at Mid and High Frequencies using the formula - Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency)).

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