Output Resistance of Signal Generator Calculator

✖Gain of NRPA (Negative Resistance Parametric Amplifier) is proportional to the negative resistance generated by the LC circuit in an Parametric Amplifier.ⓘ Gain of NRPA [G_NRPA]			+10% -10%
✖Signal frequency is defined as the frequency of a signal that is containing information.ⓘ Signal Frequency [f_s]			+10% -10%
✖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.ⓘ Total Series Resistance at Signal Frequency [R_Ts]			+10% -10%
✖Total Series Resistance at Idler Frequency as the total resistance of pumping frequency observed.ⓘ Total Series Resistance at Idler Frequency [R_Ti]			+10% -10%
✖Ratio negative resistance to series resistance is denoted by a symbol.ⓘ Ratio Negative Resistance to Series Resistance [α]			+10% -10%
✖Output resistance of idler generator is resistance observed at the output of the load.ⓘ Output Resistance of Idler Generator [R_i]			+10% -10%

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

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Formula

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Output Resistance of Signal Generator

Formula

`"R"_{"g"} = ("G"_{"NRPA"}*"f"_{"s"}*"R"_{"Ts"}*"R"_{"Ti"}*(1-"α")^2)/(4*"f"_{"s"}*"R"_{"i"}*"α")`

Example

`"33.28Ω"=("15.6dB"*"95Hz"*"7.8Ω"*"10Ω"*(1-"9")^2)/(4*"95Hz"*"65Ω"*"9")`

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Output Resistance of Signal Generator Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_g = (G_NRPA*f_s*R_Ts*R_Ti*(1-α)^2)/(4*f_s*R_i*α)
This formula uses 7 Variables

Variables Used

Output Resistance of Signal Generator - (Measured in Ohm) - Output Resistance of Signal Generator is a key operating parameter that controls the current generation signal generator when used as a power source.
Gain of NRPA - (Measured in Decibel) - Gain of NRPA (Negative Resistance Parametric Amplifier) is proportional to the negative resistance generated by the LC circuit in an Parametric Amplifier.
Signal Frequency - (Measured in Hertz) - Signal frequency is defined as the frequency of a signal that is containing information.
Total Series Resistance at Signal Frequency - (Measured in Ohm) - 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.
Total Series Resistance at Idler Frequency - (Measured in Ohm) - Total Series Resistance at Idler Frequency as the total resistance of pumping frequency observed.
Ratio Negative Resistance to Series Resistance - Ratio negative resistance to series resistance is denoted by a symbol.
Output Resistance of Idler Generator - (Measured in Ohm) - Output resistance of idler generator is resistance observed at the output of the load.

STEP 1: Convert Input(s) to Base Unit

Gain of NRPA: 15.6 Decibel --> 15.6 Decibel No Conversion Required
Signal Frequency: 95 Hertz --> 95 Hertz No Conversion Required
Total Series Resistance at Signal Frequency: 7.8 Ohm --> 7.8 Ohm No Conversion Required
Total Series Resistance at Idler Frequency: 10 Ohm --> 10 Ohm No Conversion Required
Ratio Negative Resistance to Series Resistance: 9 --> No Conversion Required
Output Resistance of Idler Generator: 65 Ohm --> 65 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_g = (G_NRPA*f_s*R_Ts*R_Ti*(1-α)^2)/(4*f_s*R_i*α) --> (15.6*95*7.8*10*(1-9)^2)/(4*95*65*9)

Evaluating ... ...

R_g = 33.28

STEP 3: Convert Result to Output's Unit

33.28 Ohm --> No Conversion Required

FINAL ANSWER

33.28 Ohm <-- Output Resistance of Signal Generator

(Calculation completed in 00.020 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 13 Parametric Devices Calculators

Power Gain of Down-Converter

Go Power Gain Down-Converter = (4*Idler Frequency*Output Resistance of Idler Generator*Output Resistance of Signal Generator*Ratio Negative Resistance to Series Resistance)/(Signal Frequency*Total Series Resistance at Signal Frequency*Total Series Resistance at Idler Frequency*(1-Ratio Negative Resistance to Series Resistance)^2)

Output Resistance of Signal Generator

Go 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)

Noise Figure of Parametric Up-Converter

Go Noise Figure of Up-Converter = 1+((2*Diode Temperature)/(Coupling Coefficient*Q-Factor of Up-Converter*Ambient Temperature)+2/(Ambient Temperature*(Coupling Coefficient*Q-Factor of Up-Converter)^2))

Bandwidth of Negative Resistance Parametric Amplifier (NRPA)

Go Bandwidth of NRPA = (Coupling Coefficient/2)*sqrt(Idler Frequency/(Signal Frequency*Gain of NRPA))

Bandwidth of Parametric Up-Converter

Go Bandwidth of Up-Converter = 2*Coupling Coefficient*sqrt(Output Frequency/Signal Frequency)

Power Gain for Parametric Up-Converter

Go Power Gain for Up-Converter = (Output Frequency/Signal Frequency)*Gain Degradation Factor

Output Frequency in Up-Convertor

Go Output Frequency = (Power Gain for Up-Converter/Gain Degradation Factor)*Signal Frequency

Gain-Degradation Factor

Go Gain Degradation Factor = (Signal Frequency/Output Frequency)*Power Gain for Up-Converter

Pumping Frequency using Demodulator Gain

Go Pumping Frequency = (Signal Frequency/Power Gain of Demodulator)-Signal Frequency

Power Gain of Demodulator

Go Power Gain of Demodulator = Signal Frequency/(Pumping Frequency+Signal Frequency)

Power Gain of Modulator

Go Power Gain of Modulator = (Pumping Frequency+Signal Frequency)/Signal Frequency

Signal frequency

Go Signal Frequency = Pumping Frequency/(Power Gain of Modulator-1)

Idler Frequency using Pumping Frequency

Go Idler Frequency = Pumping Frequency-Signal Frequency

Output Resistance of Signal Generator Formula

What Is Hybrid Couplers?

Hybrid couplers are interdigitated microstrip couplers consisting of four parallel striplines with alternate lines tied together. Hybrid couplers are frequently used as components in microwave systems or subsystems such as attenuators, balanced amplifiers, balanced mixers, modulators, discriminators, and phase shifters.

How to Calculate Output Resistance of Signal Generator?

Output Resistance of Signal Generator calculator 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 calculate 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 calculate Output Resistance of Signal Generator using this online calculator? To use this online calculator 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. Here is how the Output Resistance of Signal Generator calculation can be explained with given input values -> 33.28 = (15.6*95*7.8*10*(1-9)^2)/(4*95*65*9).

FAQ

What is 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 and is represented as R_g = (G_NRPA*f_s*R_Ts*R_Ti*(1-α)^2)/(4*f_s*R_i*α) or 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). Gain of NRPA (Negative Resistance Parametric Amplifier) is proportional to the negative resistance generated by the LC circuit in an Parametric Amplifier, Signal frequency is defined as the frequency of a signal that is containing information, 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, Total Series Resistance at Idler Frequency as the total resistance of pumping frequency observed, Ratio negative resistance to series resistance is denoted by a symbol & Output resistance of idler generator is resistance observed at the output of the load.

How to calculate 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 is calculated using 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 calculate Output Resistance of Signal Generator, you need 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). With our tool, you need to enter the respective value for Gain of NRPA, Signal Frequency, Total Series Resistance at Signal Frequency, Total Series Resistance at Idler Frequency, Ratio Negative Resistance to Series Resistance & Output Resistance of Idler Generator 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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