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Gain-Bandwidth Product Formula

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The Gain-Bandwidth Product for an amplifier is the product of the amplifier's bandwidth and the gain at which the bandwidth is measured. Check FAQs

G.B = mod \underset{̲}{u} s (A M) \cdot BW

G.B - Gain-Bandwidth Product?A_M - Amplifier Gain in Mid Band?BW - Amplifier Bandwidth?

Gain-Bandwidth Product Example

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Here is how the Gain-Bandwidth Product equation looks like with Values.

Here is how the Gain-Bandwidth Product equation looks like with Units.

Here is how the Gain-Bandwidth Product equation looks like.

56.16 = mod \underset{̲}{u} s (0.78) \cdot 72

56.16Hz = mod \underset{̲}{u} s (0.78) \cdot 72b/s

56.16 = mod \underset{̲}{u} s (0.78) \cdot 72

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Gain-Bandwidth Product Solution

Follow our step by step solution on how to calculate Gain-Bandwidth Product?

FIRST Step Consider the formula

G.B = mod \underset{̲}{u} s (A M) \cdot BW

Next Step Substitute values of Variables

∴

G.B = mod \underset{̲}{u} s (0.78) \cdot 72b/s

Next Step Prepare to Evaluate

∴

G.B = mod \underset{̲}{u} s (0.78) \cdot 72

LAST Step Evaluate

∴

G.B = 56.16Hz

Gain-Bandwidth Product Formula Elements

Variables

Functions

Gain-Bandwidth Product

The Gain-Bandwidth Product for an amplifier is the product of the amplifier's bandwidth and the gain at which the bandwidth is measured.

Symbol: G.B

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Gain-Bandwidth Product

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.

Symbol: A_M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Amplifier Gain in Mid Band

Amplifier Bandwidth

Amplifier Bandwidth is defined as the difference between the frequency limits of the amplifier.

Symbol: BW

Measurement: BandwidthUnit: b/s

Note: Value can be positive or negative.

Formulas to find Amplifier Bandwidth

modulus

Modulus of a number is the remainder when that number is divided by another number.

Syntax: modulus

Other formulas in Fundamental Parameters category

Go Damping Ratio or Damping Factor

ζ = \frac{c}{2 \cdot \sqrt{m \cdot K spring}}

Go Damped Natural Frequency

ω d = ω n \cdot \sqrt{1 - ζ^{2}}

Go Resonant Peak

M r = \frac{1}{2 \cdot ζ \cdot \sqrt{1 - ζ^{2}}}

Go Resonant Frequency

ω r = ω n \cdot \sqrt{1 - 2 \cdot ζ^{2}}

How to Evaluate Gain-Bandwidth Product?

Gain-Bandwidth Product evaluator uses Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth to evaluate 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 evaluate Gain-Bandwidth Product using this online evaluator? To use this online evaluator for Gain-Bandwidth Product, enter Amplifier Gain in Mid Band (A_M) & Amplifier Bandwidth (BW) and hit the calculate button.

FAQs on Gain-Bandwidth Product

What is the formula to find Gain-Bandwidth Product?

The formula of Gain-Bandwidth Product is expressed as Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth. Here is an example- 56.16 = modulus(0.78)*72.

How to calculate Gain-Bandwidth Product?

With Amplifier Gain in Mid Band (A_M) & Amplifier Bandwidth (BW) we can find Gain-Bandwidth Product using the formula - Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth. This formula also uses Modulus (modulus) function(s).

Can the Gain-Bandwidth Product be negative?

Yes, the Gain-Bandwidth Product, measured in Frequency can be negative.

Which unit is used to measure Gain-Bandwidth Product?

Gain-Bandwidth Product is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Gain-Bandwidth Product can be measured.

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Gain-Bandwidth Product Formula

Gain-Bandwidth Product Example

Gain-Bandwidth Product Solution

Gain-Bandwidth Product Formula Elements

Other formulas in Fundamental Parameters category

How to Evaluate Gain-Bandwidth Product?

FAQs on Gain-Bandwidth Product

Variable Name