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Gain-Bandwidth Product Calculator

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Fundamental Parameters Second Order System

✖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%
✖Amplifier Bandwidth is defined as the difference between the frequency limits of the amplifier.ⓘ Amplifier Bandwidth [BW]			+10% -10%

✖The Gain-Bandwidth Product for an amplifier is the product of the amplifier's bandwidth and the gain at which the bandwidth is measured.ⓘ Gain-Bandwidth Product [G.B]

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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(A_M)*BW
This formula uses 1 Functions, 3 Variables

Functions Used

modulus - Modulus of a number is the remainder when that number is divided by another 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(A_M)*BW --> modulus(0.78)*72

Evaluating ... ...

G.B = 56.16

STEP 3: Convert Result to Output's Unit

56.16 Hertz --> No Conversion Required

FINAL ANSWER

56.16 Hertz <-- Gain-Bandwidth Product

(Calculation completed in 00.069 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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Angle of Asymptotes

LaTeX Go Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes))

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LaTeX Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

Closed Loop Negative Feedback Gain

LaTeX Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))

Closed Loop Gain

LaTeX Go Closed-Loop Gain = 1/Feedback Factor

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Bandwidth Frequency given Damping Ratio

LaTeX Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

First Peak Undershoot

LaTeX Go Peak Undershoot = e^(-(2*Damping Ratio*pi)/(sqrt(1-Damping Ratio^2)))

First Peak Overshoot

LaTeX Go Peak Overshoot = e^(-(pi*Damping Ratio)/(sqrt(1-Damping Ratio^2)))

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LaTeX Go Delay Time = (1+(0.7*Damping Ratio))/Natural Frequency of Oscillation

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Damping Ratio or Damping Factor

LaTeX Go Damping Ratio = Damping Coefficient/(2*sqrt(Mass*Spring Constant))

Damped Natural Frequency

LaTeX Go Damped Natural Frequency = Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2)

Resonant Frequency

LaTeX Go Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2)

Resonant Peak

LaTeX Go Resonant Peak = 1/(2*Damping Ratio*sqrt(1-Damping Ratio^2))

Gain-Bandwidth Product Formula

LaTeX Go

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