Gain Factor Calculator

✖Amplifier Gain in Mid Band is a measure of the ability of a two-port circuit to increase the power or amplitude of a signal from the input to the output port.ⓘ Amplifier Gain in Mid Band [A_m]			+10% -10%
✖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_mid]			+10% -10%

✖The gain factor can be positive or negative and has a magnitude usually larger than unity. K=V2/V1, which is the internal voltage gain of the network.ⓘ Gain Factor [K]

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Formula

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Gain Factor

Formula

`"K" = "A"_{"m"}/"A"_{"mid"}`

Example

`"0.38125"="12.2dB"/"32"`

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Gain Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gain Factor = Amplifier Gain in Mid Band/Mid Band Gain
K = A_m/A_mid
This formula uses 3 Variables

Variables Used

Gain Factor - The gain factor can be positive or negative and has a magnitude usually larger than unity. K=V2/V1, which is the internal voltage gain of the network.
Amplifier Gain in Mid Band - (Measured in Decibel) - Amplifier Gain in Mid Band is a measure of the ability of a two-port circuit to increase the power or amplitude of a signal from the input to the output port.
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.

STEP 1: Convert Input(s) to Base Unit

Amplifier Gain in Mid Band: 12.2 Decibel --> 12.2 Decibel No Conversion Required
Mid Band Gain: 32 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = A_m/A_mid --> 12.2/32

Evaluating ... ...

K = 0.38125

STEP 3: Convert Result to Output's Unit

0.38125 --> No Conversion Required

FINAL ANSWER

0.38125 <-- Gain Factor

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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National Institute Of Technology (NIT), Hamirpur

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< 5 Response of Cascode Amplifier Calculators

Gain Bandwidth Product

Go Gain Bandwidth Product = (Transconductance*Load Resistance)/(2*pi*Load Resistance*(Capacitance+Gate to Drain Capacitance))

3-DB Frequency in Design Insight and Trade-Off

Go 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance)))

Drain Resistance in Cascode Amplifier

Go Drain Resistance = 1/(1/Finite Input Resistance+1/Resistance)

Amplifier Gain given Function of Complex Frequency Variable

Go Amplifier Gain in Mid Band = Mid Band Gain*Gain Factor

Gain Factor

Go Gain Factor = Amplifier Gain in Mid Band/Mid Band Gain

< 20 Multi Stage Amplifiers Calculators

Constant 2 of Source Follower Transfer Function

Go Constant B = (((Gate to Source Capacitance+Gate to Drain Capacitance)*Capacitance+(Gate to Source Capacitance+Gate to Source Capacitance))/(Transconductance*Load Resistance+1))*Signal Resistance*Load Resistance

Gain Bandwidth Product

Go Gain Bandwidth Product = (Transconductance*Load Resistance)/(2*pi*Load Resistance*(Capacitance+Gate to Drain Capacitance))

3-DB Frequency in Design Insight and Trade-Off

Go 3 dB Frequency = 1/(2*pi*(Capacitance+Gate to Drain Capacitance)*(1/(1/Load Resistance+1/Output Resistance)))

Transconductance of CC-CB Amplifier

Go Transconductance = (2*Voltage Gain)/((Resistance/(Resistance+Signal Resistance))*Load Resistance)

Overall Voltage Gain of CC CB Amplifier

Go Voltage Gain = 1/2*(Resistance/(Resistance+Signal Resistance))*Load Resistance*Transconductance

Signal Voltage in High Frequency Response of Source and Emitter Follower

Go Output Voltage = (Electric Current*Signal Resistance)+Gate to Source Voltage+Threshold Voltage

Input Resistance of CC CB Amplifier

Go Resistance = (Common Emitter Current Gain+1)*(Emitter Resistance+Resistance of Secondary Winding in Primary)

Total Capacitance of CB-CG Amplifier

Go Capacitance = 1/(2*pi*Load Resistance*Output Pole Frequency)

Dominant Pole Frequency of Differential Amplifier

Go Pole Frequency = 1/(2*pi*Capacitance*Output Resistance)

Frequency of Differential Amplifier given Load Resistance

Go Frequency = 1/(2*pi*Load Resistance*Capacitance)

Short Circuit Transconductance of Differential Amplifier

Go Short Circuit Transconductance = Output Current/Differential Input Signal

Transition Frequency of Source-Follower Transfer Function

Go Transition Frequency = Transconductance/Gate to Source Capacitance

Gate to Source Capacitance of Source Follower

Go Gate to Source Capacitance = Transconductance/Transition Frequency

Transconductance of Source-Follower

Go Transconductance = Transition Frequency*Gate to Source Capacitance

Drain Resistance in Cascode Amplifier

Go Drain Resistance = 1/(1/Finite Input Resistance+1/Resistance)

Amplifier Gain given Function of Complex Frequency Variable

Go Amplifier Gain in Mid Band = Mid Band Gain*Gain Factor

Gain Factor

Go Gain Factor = Amplifier Gain in Mid Band/Mid Band Gain

Dominant Pole-Frequency of Source-Follower

Go Frequency of Dominant Pole = 1/(2*pi*Constant B)

Power Gain of Amplifier given Voltage Gain and Current Gain

Go Power Gain = Voltage Gain*Current Gain

Break Frequency of Source Follower

Go Break Frequency = 1/sqrt(Constant C)

Gain Factor Formula

Gain Factor = Amplifier Gain in Mid Band/Mid Band Gain
K = A_m/A_mid

What is 3 dB bandwidth of a filter?

The 3 dB bandwidth of an electronic filter or communication channel is the part of the system's frequency response that lies within 3 dB of the response at its peak, which, in the passband filter case, is typically at or near its center frequency, and in the low-pass filter is at or near its cutoff frequency.

How to Calculate Gain Factor?

Gain Factor calculator uses Gain Factor = Amplifier Gain in Mid Band/Mid Band Gain to calculate the Gain Factor, The Gain Factor refers to the factor by which an input signal is amplified in an electronic system, such as an amplifier or a control system. It's a measurement of the increase in amplitude or magnitude of the output signal concerning the input signal. Gain Factor is denoted by K symbol.

How to calculate Gain Factor using this online calculator? To use this online calculator for Gain Factor, enter Amplifier Gain in Mid Band (A_m) & Mid Band Gain (A_mid) and hit the calculate button. Here is how the Gain Factor calculation can be explained with given input values -> 0.38125 = 12.2/32.

FAQ

What is Gain Factor?

The Gain Factor refers to the factor by which an input signal is amplified in an electronic system, such as an amplifier or a control system. It's a measurement of the increase in amplitude or magnitude of the output signal concerning the input signal and is represented as K = A_m/A_mid or Gain Factor = Amplifier Gain in Mid Band/Mid Band Gain. Amplifier Gain in Mid Band is a measure of the ability of a two-port circuit to increase the power or amplitude of a signal from the input to the output port & 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.

How to calculate Gain Factor?

The Gain Factor refers to the factor by which an input signal is amplified in an electronic system, such as an amplifier or a control system. It's a measurement of the increase in amplitude or magnitude of the output signal concerning the input signal is calculated using Gain Factor = Amplifier Gain in Mid Band/Mid Band Gain. To calculate Gain Factor, you need Amplifier Gain in Mid Band (A_m) & Mid Band Gain (A_mid). With our tool, you need to enter the respective value for Amplifier Gain in Mid Band & Mid Band Gain 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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