Open Loop Gain of Signal Calculator

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Continuous Time Signals

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✖Damping Co-efficient measures the rate at which an oscillating system, like a spring, resists oscillation, influencing how quickly it returns to equilibrium after being disturbed.ⓘ Damping Co-efficient [ζ]			+10% -10%
✖Input Frequency refers to the rate at which data or signals are received within a specified timeframe, typically measured in hertz (Hz).ⓘ Input Frequency [f_in]			+10% -10%
✖High Frequency refers to a rapid repetition or occurrence of events, signals, or cycles within a short period, often associated with quick and frequent occurrences.ⓘ High Frequency [f_h]			+10% -10%

✖The Open Loop Gain is the gain of the amplifier without the feedback loop being closed.ⓘ Open Loop Gain of Signal [A_o]

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Formula

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Open Loop Gain of Signal

Formula

`"A"_{"o"} = 1/(2*"ζ")*sqrt("f"_{"in"}/"f"_{"h"})`

Example

`"21.55805"=1/(2*"0.07Ns/m")*sqrt("50.1Hz"/"5.5Hz")`

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Open Loop Gain of Signal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency)
A_o = 1/(2*ζ)*sqrt(f_in/f_h)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Open Loop Gain - The Open Loop Gain is the gain of the amplifier without the feedback loop being closed.
Damping Co-efficient - (Measured in Newton Second per Meter) - Damping Co-efficient measures the rate at which an oscillating system, like a spring, resists oscillation, influencing how quickly it returns to equilibrium after being disturbed.
Input Frequency - (Measured in Hertz) - Input Frequency refers to the rate at which data or signals are received within a specified timeframe, typically measured in hertz (Hz).
High Frequency - (Measured in Hertz) - High Frequency refers to a rapid repetition or occurrence of events, signals, or cycles within a short period, often associated with quick and frequent occurrences.

STEP 1: Convert Input(s) to Base Unit

Damping Co-efficient: 0.07 Newton Second per Meter --> 0.07 Newton Second per Meter No Conversion Required
Input Frequency: 50.1 Hertz --> 50.1 Hertz No Conversion Required
High Frequency: 5.5 Hertz --> 5.5 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_o = 1/(2*ζ)*sqrt(f_in/f_h) --> 1/(2*0.07)*sqrt(50.1/5.5)

Evaluating ... ...

A_o = 21.5580503798026

STEP 3: Convert Result to Output's Unit

21.5580503798026 --> No Conversion Required

FINAL ANSWER

21.5580503798026 ≈ 21.55805 <-- Open Loop Gain

(Calculation completed in 00.004 seconds)

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Created by tharun

vellore institute of technology (vitap university), amaravati

tharun has created this Calculator and 6 more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

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< 15 Continuous Time Signals Calculators

Current for Loaded Admittance

Go Current for Loaded Admittance = Current for Internal Admittance*Loaded Admittance/(Internal Admittance+Loaded Admittance)

Open Loop Gain of Signal

Go Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency)

Damping Co-efficient

Go Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency)

Voltage for Loaded Admittance

Go Voltage of Loaded Admittance = Current for Internal Admittance/(Internal Admittance+Loaded Admittance)

Damping Co-efficient in State-Space Form

Go Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance)

Resistance with respect to Damping Coefficient

Go Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2)

Coupling Co-efficient

Go Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance)

Natural Frequency

Go Natural Frequency = sqrt(Input Frequency*High Frequency)

Periodic Signal of Time Fourier

Go Periodic Signal = sin((2*pi)/Time Periodic Signal)

Output of Time Invariant Signal

Go Time Invariant Output Signal = Time Invariant Input Signal*Impulse Response

Transfer Function

Go Transfer Function = Output Signal/Input Signal

Angular Frequency of Signal

Go Angular Frequency = 2*pi/Time Period

Time Period of Signal

Go Time Period = 2*pi/Angular Frequency

Frequency of Signal

Go Frequency = 2*pi/Angular Frequency

Inverse of System Function

Go Inverse System Function = 1/System Function

Open Loop Gain of Signal Formula

Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency)
A_o = 1/(2*ζ)*sqrt(f_in/f_h)

What are the applications of open loop gain in a signal?

The open loop gain of a signal refers to the magnitude of the output signal in response to a unit change in the input signal, without any feedback. Open loop gain is used in various applications such as filtering, modulation, and amplification. It helps in controlling the magnitude of the output signal and can be used to enhance or attenuate the signal as per the requirements.

How to Calculate Open Loop Gain of Signal?

Open Loop Gain of Signal calculator uses Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency) to calculate the Open Loop Gain, Open Loop Gain of Signal is the ratio of the output signal to the input signal when there is no feedback in the system. It is a measure of the system's ability to amplify a signal without any distortion or conditioning. Open Loop Gain is denoted by A_o symbol.

How to calculate Open Loop Gain of Signal using this online calculator? To use this online calculator for Open Loop Gain of Signal, enter Damping Co-efficient (ζ), Input Frequency (f_in) & High Frequency (f_h) and hit the calculate button. Here is how the Open Loop Gain of Signal calculation can be explained with given input values -> 21.55805 = 1/(2*0.07)*sqrt(50.1/5.5).

FAQ

What is Open Loop Gain of Signal?

Open Loop Gain of Signal is the ratio of the output signal to the input signal when there is no feedback in the system. It is a measure of the system's ability to amplify a signal without any distortion or conditioning and is represented as A_o = 1/(2*ζ)*sqrt(f_in/f_h) or Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency). Damping Co-efficient measures the rate at which an oscillating system, like a spring, resists oscillation, influencing how quickly it returns to equilibrium after being disturbed, Input Frequency refers to the rate at which data or signals are received within a specified timeframe, typically measured in hertz (Hz) & High Frequency refers to a rapid repetition or occurrence of events, signals, or cycles within a short period, often associated with quick and frequent occurrences.

How to calculate Open Loop Gain of Signal?

Open Loop Gain of Signal is the ratio of the output signal to the input signal when there is no feedback in the system. It is a measure of the system's ability to amplify a signal without any distortion or conditioning is calculated using Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency). To calculate Open Loop Gain of Signal, you need Damping Co-efficient (ζ), Input Frequency (f_in) & High Frequency (f_h). With our tool, you need to enter the respective value for Damping Co-efficient, Input Frequency & High Frequency 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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