Gain at Mid and High Frequencies Calculator

✖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%
✖Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave.ⓘ Complex Frequency Variable [s]			+10% -10%
✖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.ⓘ Upper 3-dB Frequency [ω_hf]			+10% -10%

✖Gain factor of an amplifier is the factor by which the input power is amplified.ⓘ Gain at Mid and High Frequencies [µ]

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Gain at Mid and High Frequencies Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency))
µ = A_m/(1+(s/ω_hf))
This formula uses 4 Variables

Variables Used

Gain Factor - Gain factor of an amplifier is the factor by which the input power is amplified.
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.
Complex Frequency Variable - (Measured in Hertz) - Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave.
Upper 3-dB Frequency - (Measured in Hertz) - 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.

STEP 1: Convert Input(s) to Base Unit

Mid Band Gain: 20.9 --> No Conversion Required
Complex Frequency Variable: 2 Hertz --> 2 Hertz No Conversion Required
Upper 3-dB Frequency: 30.417 Hertz --> 30.417 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

µ = A_m/(1+(s/ω_hf)) --> 20.9/(1+(2/30.417))

Evaluating ... ...

µ = 19.6105531048524

STEP 3: Convert Result to Output's Unit

19.6105531048524 --> No Conversion Required

FINAL ANSWER

19.6105531048524 ≈ 19.61055 <-- Gain Factor

(Calculation completed in 00.020 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Gain at Mid and High Frequencies Formula

LaTeX Go

Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency))
µ = A_m/(1+(s/ω_hf))

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 Gain at Mid and High Frequencies?

Gain at Mid and High Frequencies calculator uses Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency)) to calculate 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 calculate Gain at Mid and High Frequencies using this online calculator? To use this online calculator 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. Here is how the Gain at Mid and High Frequencies calculation can be explained with given input values -> 19.61055 = 20.9/(1+(2/30.417)).

FAQ

What is Gain at Mid and High Frequencies?

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 and is represented as µ = A_m/(1+(s/ω_hf)) or Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency)). 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, Complex frequency variable describes a sinusoidal signal with increasing (positive σ) or decreasing (negative σ) sine wave & 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.

How to calculate Gain at Mid and High Frequencies?

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 is calculated using Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency)). To calculate Gain at Mid and High Frequencies, you need Mid Band Gain (A_m), Complex Frequency Variable (s) & Upper 3-dB Frequency (ω_hf). With our tool, you need to enter the respective value for Mid Band Gain, Complex Frequency Variable & Upper 3-dB 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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