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Bandwidth of Negative Resistance Parametric Amplifier (NRPA) Formula

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Bandwidth of NRPA (Negative Resistance Parametric Amplifier) refers to the range of frequencies over which the parametric amplifier can effectively amplify a signal. Check FAQs

BW NRPA = (\frac{γ}{2}) \cdot \sqrt{\frac{f i}{f s \cdot G NRPA}}

BW_NRPA - Bandwidth of NRPA?γ - Coupling Coefficient?f_i - Idler Frequency?f_s - Signal Frequency?G_NRPA - Gain of NRPA?

Bandwidth of Negative Resistance Parametric Amplifier (NRPA) Example

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Here is how the Bandwidth of Negative Resistance Parametric Amplifier (NRPA) equation looks like with Values.

Here is how the Bandwidth of Negative Resistance Parametric Amplifier (NRPA) equation looks like with Units.

Here is how the Bandwidth of Negative Resistance Parametric Amplifier (NRPA) equation looks like.

0.0276 = (\frac{0.19}{2}) \cdot \sqrt{\frac{125}{95 \cdot 15.6}}

0.0276Hz = (\frac{0.19}{2}) \cdot \sqrt{\frac{125Hz}{95Hz \cdot 15.6dB}}

0.0276 = (\frac{0.19}{2}) \cdot \sqrt{\frac{125}{95 \cdot 15.6}}

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Bandwidth of Negative Resistance Parametric Amplifier (NRPA) Solution

Follow our step by step solution on how to calculate Bandwidth of Negative Resistance Parametric Amplifier (NRPA)?

FIRST Step Consider the formula

BW NRPA = (\frac{γ}{2}) \cdot \sqrt{\frac{f i}{f s \cdot G NRPA}}

Next Step Substitute values of Variables

∴

BW NRPA = (\frac{0.19}{2}) \cdot \sqrt{\frac{125Hz}{95Hz \cdot 15.6dB}}

Next Step Prepare to Evaluate

∴

BW NRPA = (\frac{0.19}{2}) \cdot \sqrt{\frac{125}{95 \cdot 15.6}}

Next Step Evaluate

∴

BW NRPA = 0.027590178482894Hz

LAST Step Rounding Answer

∴

BW NRPA = 0.0276Hz

Bandwidth of Negative Resistance Parametric Amplifier (NRPA) Formula Elements

Variables

Functions

Bandwidth of NRPA

Bandwidth of NRPA (Negative Resistance Parametric Amplifier) refers to the range of frequencies over which the parametric amplifier can effectively amplify a signal.

Symbol: BW_NRPA

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Bandwidth of NRPA

Coupling Coefficient

The coupling coefficient γ is defined as the ratio of the modulated negative resistance at the pump frequency to the capacitance of the nonlinear element.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coupling Coefficient

Idler Frequency

Idler frequency in Negative Resistance Parametric Amplifier is the third frequency that is generated as a result of mixing the two input frequencies.

Symbol: f_i

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Idler Frequency

Signal Frequency

Signal frequency is defined as the frequency of a signal that is containing information.

Symbol: f_s

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Signal Frequency

Gain of NRPA

Gain of NRPA (Negative Resistance Parametric Amplifier) is proportional to the negative resistance generated by the LC circuit in an Parametric Amplifier.

Symbol: G_NRPA

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Formulas to find Gain of NRPA

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Parametric Devices category

Go Power Gain of Modulator

G m = \frac{f p + f s}{f s}

Go Power Gain of Demodulator

G dm = \frac{f s}{f p + f s}

Go Power Gain for Parametric Up-Converter

G up = (\frac{f o}{f s}) \cdot GDF

Go Gain-Degradation Factor

GDF = (\frac{f s}{f o}) \cdot G up

How to Evaluate Bandwidth of Negative Resistance Parametric Amplifier (NRPA)?

Bandwidth of Negative Resistance Parametric Amplifier (NRPA) evaluator uses Bandwidth of NRPA = (Coupling Coefficient/2)*sqrt(Idler Frequency/(Signal Frequency*Gain of NRPA)) to evaluate the Bandwidth of NRPA, The Bandwidth of Negative Resistance Parametric Amplifier (NRPA) formula is defined as the range of frequencies over which the amplifier can effectively amplify a signal. In an NRPA, the bandwidth is typically determined by the resonance frequency of the LC circuit used to generate the negative resistance. Bandwidth of NRPA is denoted by BW_NRPA symbol.

How to evaluate Bandwidth of Negative Resistance Parametric Amplifier (NRPA) using this online evaluator? To use this online evaluator for Bandwidth of Negative Resistance Parametric Amplifier (NRPA), enter Coupling Coefficient (γ), Idler Frequency (f_i), Signal Frequency (f_s) & Gain of NRPA (G_NRPA) and hit the calculate button.

FAQs on Bandwidth of Negative Resistance Parametric Amplifier (NRPA)

What is the formula to find Bandwidth of Negative Resistance Parametric Amplifier (NRPA)?

The formula of Bandwidth of Negative Resistance Parametric Amplifier (NRPA) is expressed as Bandwidth of NRPA = (Coupling Coefficient/2)*sqrt(Idler Frequency/(Signal Frequency*Gain of NRPA)). Here is an example- 0.02759 = (0.19/2)*sqrt(125/(95*15.6)).

How to calculate Bandwidth of Negative Resistance Parametric Amplifier (NRPA)?

With Coupling Coefficient (γ), Idler Frequency (f_i), Signal Frequency (f_s) & Gain of NRPA (G_NRPA) we can find Bandwidth of Negative Resistance Parametric Amplifier (NRPA) using the formula - Bandwidth of NRPA = (Coupling Coefficient/2)*sqrt(Idler Frequency/(Signal Frequency*Gain of NRPA)). This formula also uses Square Root (sqrt) function(s).

Can the Bandwidth of Negative Resistance Parametric Amplifier (NRPA) be negative?

Yes, the Bandwidth of Negative Resistance Parametric Amplifier (NRPA), measured in Frequency can be negative.

Which unit is used to measure Bandwidth of Negative Resistance Parametric Amplifier (NRPA)?

Bandwidth of Negative Resistance Parametric Amplifier (NRPA) is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Bandwidth of Negative Resistance Parametric Amplifier (NRPA) can be measured.

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Bandwidth of Negative Resistance Parametric Amplifier (NRPA) Formula

Bandwidth of Negative Resistance Parametric Amplifier (NRPA) Example

Bandwidth of Negative Resistance Parametric Amplifier (NRPA) Solution

Bandwidth of Negative Resistance Parametric Amplifier (NRPA) Formula Elements

Other formulas in Parametric Devices category

How to Evaluate Bandwidth of Negative Resistance Parametric Amplifier (NRPA)?

FAQs on Bandwidth of Negative Resistance Parametric Amplifier (NRPA)

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