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 = Am/(1+(s/ωhf))
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 = Am/(1+(s/ωhf)) --> 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)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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5 BW Extension and Signal Interference Calculators

Gain with Feedback at Mid and High Frequency
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
Go Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency))
Signal-to-Interference Ratio at Output
Go Signal to Interference Ratio = (Source Voltage/Voltage Interference)*Gain Factor
Lower 3-DB Frequency in Bandwidth Extension
Go Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor))
Upper 3-DB Frequency of Feedback Amplifier
Go Upper 3-dB Frequency = 3-dB Frequency*(1+Mid Band Gain*Feedback Factor)

15 Negative Feedback Amplifiers Calculators

Feedback Signal
Go Feedback Signal = ((Open Loop Gain of an Operational Amplifier*Feedback Factor)/(1+(Open Loop Gain of an Operational Amplifier*Feedback Factor)))*Source Signal
Error Signal
Go Error Signal = Source Signal/(1+(Open Loop Gain of an Operational Amplifier*Feedback Factor))
Gain at Mid and High Frequencies
Go Gain Factor = Mid Band Gain/(1+(Complex Frequency Variable/Upper 3-dB Frequency))
Signal-to-Interference Ratio at Output
Go Signal to Interference Ratio = (Source Voltage/Voltage Interference)*Gain Factor
Lower 3-DB Frequency in Bandwidth Extension
Go Lower 3-dB Frequency = 3-dB Frequency/(1+(Mid Band Gain*Feedback Factor))
Upper 3-DB Frequency of Feedback Amplifier
Go Upper 3-dB Frequency = 3-dB Frequency*(1+Mid Band Gain*Feedback Factor)
Output Current of Feedback Voltage Amplifier Given Loop Gain
Go Output Current = (1+Loop Gain)*Output Voltage/Output Resistance
Gain with Feedback of Feedback Amplifier
Go Gain with Feedback = (Open Loop Gain of an Operational Amplifier)/Amount of Feedback
Output Signal in Feedback Amplifier
Go Signal Output = Open Loop Gain of an Operational Amplifier*Input Signal Feedback
Output Resistance with Feedback Current Amplifier
Go Output Resistance of Current Amplifier = Amount of Feedback*Output Resistance
Output Resistance with Feedback Voltage Amplifier
Go Output Resistance of Voltage Amplifier = Output Resistance/(1+Loop Gain)
Input Resistance with Feedback Current Amplifier
Go Input Resistance with Feedback = Input Resistance/(1+Loop Gain)
Closed-Loop Gain as Function of Ideal Value
Go Closed-Loop Gain = (1/Feedback Factor)*(1/(1+(1/Loop Gain)))
Feedback Factor of Feedback Amplifier
Go Feedback Factor = Input Signal Feedback/Signal Output
Amount of Feedback Given Loop Gain
Go Amount of Feedback = 1+Loop Gain

Gain at Mid and High Frequencies Formula

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

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 (Am), Complex Frequency Variable (s) & Upper 3-dB Frequency 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 = Am/(1+(s/ωhf)) 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 (Am), Complex Frequency Variable (s) & Upper 3-dB Frequency 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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