## Gain-Bandwidth Product Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth
G.B = modulus(AM)*BW
This formula uses 1 Functions, 3 Variables
Functions Used
modulus - Modulus of number, modulus
Variables Used
Gain-Bandwidth Product - (Measured in Hertz) - The gain-bandwidth product for an amplifier is the product of the amplifier's bandwidth and the gain at which the bandwidth is measured.
Amplifier Gain in Mid Band - 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 Bandwidth - (Measured in Bit Per Second) - Amplifier Bandwidth is defined as the difference between the frequency limits of the amplifier.
STEP 1: Convert Input(s) to Base Unit
Amplifier Gain in Mid Band: 0.78 --> No Conversion Required
Amplifier Bandwidth: 72 Bit Per Second --> 72 Bit Per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
G.B = modulus(AM)*BW --> modulus(0.78)*72
Evaluating ... ...
G.B = 56.16
STEP 3: Convert Result to Output's Unit
56.16 Hertz --> No Conversion Required
56.16 Hertz <-- Gain-Bandwidth Product
(Calculation completed in 00.000 seconds)
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## Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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## < 19 Fundamental Formulas Calculators

Bandwidth Frequency given Damping Ratio
Bandwidth Frequency = Frequency*(sqrt(1-(2*(Damping Ratio^2)))+sqrt((Damping Ratio^4)-(4*(Damping Ratio^2))+2))
Damping Ratio given Percentage Overshoot
Damping Ratio = -ln(Percentage Overshoot/100)/ sqrt((pi^2)+ln(Percentage Overshoot/100)^2)
Angle of Asymptotes
Angle of Asymptotes = (((2*Parameter for Root Locus)+1)*pi)/(Number of Poles-Number of Zeros)
Percentage Overshoot
Percentage Overshoot = 100*(e^((-Damping Ratio*pi)/(sqrt(1-(Damping Ratio^2)))))
Closed Loop Positive Feedback Gain
Closed-Loop Gain = Open Loop Gain of an OP-AMP/(1- (Feedback Factor*Open Loop Gain of an OP-AMP))
Closed Loop Negative Feedback Gain
Closed-Loop Gain = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))
Damping Ratio or Damping Factor
Damping Ratio = Damping Coefficient/(2*sqrt(Mass*Spring Constant))
Gain-Bandwidth Product
Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth
Damped Natural Frequency
Damped Natural Frequency = Frequency*(sqrt(1-(Damping Ratio)^2))
Resonant Peak
Resonant Peak = 1/((2*Damping Ratio)*sqrt(1-(Damping Ratio)^2))
Resonant Frequency
Resonant Frequency = Frequency*sqrt(1-2*(Damping Ratio)^2)
Steady State Error for Type Zero System
Steady State Error = Coefficient Value/(1+Position Error Constant)
Steady State Error for Type 2 System
Steady State Error = Coefficient Value/Acceleration Error Constant
Steady State Error for Type 1 System
Steady State Error = Coefficient Value/Velocity Error Constant
Number of Asymptotes
Number of Asymptotes = Number of Poles-Number of Zeros
Transfer Function for Closed and Open Loop System
Transfer Function = Output of System/Input of System
Damping Ratio
Damping Ratio = Actual Damping/Critical Damping
Closed Loop Gain
Gain with Feedback = 1/Feedback Factor
Q-Factor
Q Factor = 1/(2*Damping Ratio)

## Gain-Bandwidth Product Formula

Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth
G.B = modulus(AM)*BW

## Why gain bandwidth product is important?

This quantity is commonly specified for operational amplifiers, and allows circuit designers to determine the maximum gain that can be extracted from the device for a given frequency (or bandwidth) and vice versa.

## How to Calculate Gain-Bandwidth Product?

Gain-Bandwidth Product calculator uses Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth to calculate the Gain-Bandwidth Product, The Gain-Bandwidth Product formula is defined as the product of the amplifier's bandwidth and the gain at which the bandwidth is measured. Gain-Bandwidth Product is denoted by G.B symbol.

How to calculate Gain-Bandwidth Product using this online calculator? To use this online calculator for Gain-Bandwidth Product, enter Amplifier Gain in Mid Band (AM) & Amplifier Bandwidth (BW) and hit the calculate button. Here is how the Gain-Bandwidth Product calculation can be explained with given input values -> 56.16 = modulus(0.78)*72.

### FAQ

What is Gain-Bandwidth Product?
The Gain-Bandwidth Product formula is defined as the product of the amplifier's bandwidth and the gain at which the bandwidth is measured and is represented as G.B = modulus(AM)*BW or Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth. 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 Bandwidth is defined as the difference between the frequency limits of the amplifier.
How to calculate Gain-Bandwidth Product?
The Gain-Bandwidth Product formula is defined as the product of the amplifier's bandwidth and the gain at which the bandwidth is measured is calculated using Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth. To calculate Gain-Bandwidth Product, you need Amplifier Gain in Mid Band (AM) & Amplifier Bandwidth (BW). With our tool, you need to enter the respective value for Amplifier Gain in Mid Band & Amplifier Bandwidth 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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