Damping Co-efficient in State-Space Form Calculator

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✖Initial Resistance is a measure of the opposition to current flow in an electrical circuit.ⓘ Initial Resistance [R_o]			+10% -10%
✖Capacitance is a property that stores electrical energy in an electric field by accumulating electric charges on two closely spaced surfaces that are insulated from each other.ⓘ Capacitance [C]			+10% -10%
✖Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.ⓘ Inductance [L]			+10% -10%

✖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 in State-Space Form [ζ]

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Formula

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Damping Co-efficient in State-Space Form

Formula

`"ζ" = "R"_{"o"}*sqrt("C"/"L")`

Example

`"0.060896Ns/m"="0.05Ω"*sqrt("8.9F"/"6H")`

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Damping Co-efficient in State-Space Form Solution

STEP 0: Pre-Calculation Summary

Formula Used

Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance)
ζ = R_o*sqrt(C/L)
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

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.
Initial Resistance - (Measured in Ohm) - Initial Resistance is a measure of the opposition to current flow in an electrical circuit.
Capacitance - (Measured in Farad) - Capacitance is a property that stores electrical energy in an electric field by accumulating electric charges on two closely spaced surfaces that are insulated from each other.
Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.

STEP 1: Convert Input(s) to Base Unit

Initial Resistance: 0.05 Ohm --> 0.05 Ohm No Conversion Required
Capacitance: 8.9 Farad --> 8.9 Farad No Conversion Required
Inductance: 6 Henry --> 6 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = R_o*sqrt(C/L) --> 0.05*sqrt(8.9/6)

Evaluating ... ...

ζ = 0.060896086354817

STEP 3: Convert Result to Output's Unit

0.060896086354817 Newton Second per Meter --> No Conversion Required

FINAL ANSWER

0.060896086354817 ≈ 0.060896 Newton Second per Meter <-- Damping Co-efficient

(Calculation completed in 00.020 seconds)

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Created by Rahul Gupta

Chandigarh University (CU), Mohali, Punjab

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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

Damping Co-efficient in State-Space Form Formula

Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance)
ζ = R_o*sqrt(C/L)

What is the principle of damping?

Damping, in physics, restraining of vibratory motion, such as mechanical oscillations, noise, and alternating electric currents, by dissipation of energy. Unless a child keeps pumping a swing, its motion dies down because of damping.

How to Calculate Damping Co-efficient in State-Space Form?

Damping Co-efficient in State-Space Form calculator uses Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance) to calculate the Damping Co-efficient, The Damping Co-efficient in State-Space Form formula is defined as a measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy. Damping Co-efficient is denoted by ζ symbol.

How to calculate Damping Co-efficient in State-Space Form using this online calculator? To use this online calculator for Damping Co-efficient in State-Space Form, enter Initial Resistance (R_o), Capacitance (C) & Inductance (L) and hit the calculate button. Here is how the Damping Co-efficient in State-Space Form calculation can be explained with given input values -> 5.480648 = 0.05*sqrt(8.9/6).

FAQ

What is Damping Co-efficient in State-Space Form?

The Damping Co-efficient in State-Space Form formula is defined as a measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy and is represented as ζ = R_o*sqrt(C/L) or Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance). Initial Resistance is a measure of the opposition to current flow in an electrical circuit, Capacitance is a property that stores electrical energy in an electric field by accumulating electric charges on two closely spaced surfaces that are insulated from each other & Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.

How to calculate Damping Co-efficient in State-Space Form?

The Damping Co-efficient in State-Space Form formula is defined as a measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy is calculated using Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance). To calculate Damping Co-efficient in State-Space Form, you need Initial Resistance (R_o), Capacitance (C) & Inductance (L). With our tool, you need to enter the respective value for Initial Resistance, Capacitance & Inductance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Damping Co-efficient?

In this formula, Damping Co-efficient uses Initial Resistance, Capacitance & Inductance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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