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Output Resistance of Signal Generator Formula

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Output Resistance of Signal Generator is a key operating parameter that controls the current generation signal generator when used as a power source. Check FAQs

R g = \frac{G NRPA \cdot f s \cdot R Ts \cdot R Ti \cdot {(1 - α)}^{2}}{4 \cdot f s \cdot R i \cdot α}

R_g - Output Resistance of Signal Generator?G_NRPA - Gain of NRPA?f_s - Signal Frequency?R_Ts - Total Series Resistance at Signal Frequency?R_Ti - Total Series Resistance at Idler Frequency?α - Ratio Negative Resistance to Series Resistance?R_i - Output Resistance of Idler Generator?

Output Resistance of Signal Generator Example

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Here is how the Output Resistance of Signal Generator equation looks like with Values.

Here is how the Output Resistance of Signal Generator equation looks like with Units.

Here is how the Output Resistance of Signal Generator equation looks like.

33.28 = \frac{15.6 \cdot 95 \cdot 7.8 \cdot 10 \cdot {(1 - 9)}^{2}}{4 \cdot 95 \cdot 65 \cdot 9}

33.28Ω = \frac{15.6dB \cdot 95Hz \cdot 7.8Ω \cdot 10Ω \cdot {(1 - 9)}^{2}}{4 \cdot 95Hz \cdot 65Ω \cdot 9}

33.28 = \frac{15.6 \cdot 95 \cdot 7.8 \cdot 10 \cdot {(1 - 9)}^{2}}{4 \cdot 95 \cdot 65 \cdot 9}

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Output Resistance of Signal Generator Solution

Follow our step by step solution on how to calculate Output Resistance of Signal Generator?

FIRST Step Consider the formula

R g = \frac{G NRPA \cdot f s \cdot R Ts \cdot R Ti \cdot {(1 - α)}^{2}}{4 \cdot f s \cdot R i \cdot α}

Next Step Substitute values of Variables

∴

R g = \frac{15.6dB \cdot 95Hz \cdot 7.8Ω \cdot 10Ω \cdot {(1 - 9)}^{2}}{4 \cdot 95Hz \cdot 65Ω \cdot 9}

Next Step Prepare to Evaluate

∴

R g = \frac{15.6 \cdot 95 \cdot 7.8 \cdot 10 \cdot {(1 - 9)}^{2}}{4 \cdot 95 \cdot 65 \cdot 9}

LAST Step Evaluate

∴

R g = 33.28Ω

Output Resistance of Signal Generator Formula Elements

Variables

Output Resistance of Signal Generator

Output Resistance of Signal Generator is a key operating parameter that controls the current generation signal generator when used as a power source.

Symbol: R_g

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

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.

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.

Total Series Resistance at Signal Frequency

Total series resistance at signal frequency is the sum of all resistances in series that are present in a circuit at the frequency of the signal.

Symbol: R_Ts

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Total Series Resistance at Idler Frequency

Total Series Resistance at Idler Frequency as the total resistance of pumping frequency observed.

Symbol: R_Ti

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Ratio Negative Resistance to Series Resistance

Ratio negative resistance to series resistance is denoted by a symbol.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Output Resistance of Idler Generator

Output resistance of idler generator is resistance observed at the output of the load.

Symbol: R_i

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Formula and 900+ more formulas!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

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How to Evaluate Output Resistance of Signal Generator?

Output Resistance of Signal Generator evaluator uses Output Resistance of Signal Generator = (Gain of NRPA*Signal Frequency*Total Series Resistance at Signal Frequency*Total Series Resistance at Idler Frequency*(1-Ratio Negative Resistance to Series Resistance)^2)/(4*Signal Frequency*Output Resistance of Idler Generator*Ratio Negative Resistance to Series Resistance) to evaluate the Output Resistance of Signal Generator, The Output Resistance of Signal Generator formula is defined as total output resistance at signal frequency is the sum of all resistances in series that are present in a circuit at the frequency of the signal. Output Resistance of Signal Generator is denoted by R_g symbol.

How to evaluate Output Resistance of Signal Generator using this online evaluator? To use this online evaluator for Output Resistance of Signal Generator, enter Gain of NRPA (G_NRPA), Signal Frequency (f_s), Total Series Resistance at Signal Frequency (R_Ts), Total Series Resistance at Idler Frequency (R_Ti), Ratio Negative Resistance to Series Resistance (α) & Output Resistance of Idler Generator (R_i) and hit the calculate button.

FAQs on Output Resistance of Signal Generator

What is the formula to find Output Resistance of Signal Generator?

The formula of Output Resistance of Signal Generator is expressed as Output Resistance of Signal Generator = (Gain of NRPA*Signal Frequency*Total Series Resistance at Signal Frequency*Total Series Resistance at Idler Frequency*(1-Ratio Negative Resistance to Series Resistance)^2)/(4*Signal Frequency*Output Resistance of Idler Generator*Ratio Negative Resistance to Series Resistance). Here is an example- 33.28 = (15.6*95*7.8*10*(1-9)^2)/(4*95*65*9).

How to calculate Output Resistance of Signal Generator?

With Gain of NRPA (G_NRPA), Signal Frequency (f_s), Total Series Resistance at Signal Frequency (R_Ts), Total Series Resistance at Idler Frequency (R_Ti), Ratio Negative Resistance to Series Resistance (α) & Output Resistance of Idler Generator (R_i) we can find Output Resistance of Signal Generator using the formula - Output Resistance of Signal Generator = (Gain of NRPA*Signal Frequency*Total Series Resistance at Signal Frequency*Total Series Resistance at Idler Frequency*(1-Ratio Negative Resistance to Series Resistance)^2)/(4*Signal Frequency*Output Resistance of Idler Generator*Ratio Negative Resistance to Series Resistance).

Can the Output Resistance of Signal Generator be negative?

Yes, the Output Resistance of Signal Generator, measured in Electric Resistance can be negative.

Which unit is used to measure Output Resistance of Signal Generator?

Output Resistance of Signal Generator is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Output Resistance of Signal Generator can be measured.

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Output Resistance of Signal Generator Formula

Output Resistance of Signal Generator Example

Output Resistance of Signal Generator Solution

Output Resistance of Signal Generator Formula Elements

Credits

Other formulas in Parametric Devices category

How to Evaluate Output Resistance of Signal Generator?

FAQs on Output Resistance of Signal Generator

Variable Name