Resistance with respect to Damping Coefficient Calculator

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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%
✖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%

✖Initial Resistance is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance with respect to Damping Coefficient [R_o]

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Formula

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Resistance with respect to Damping Coefficient

Formula

`"R"_{"o"} = "ζ"/("C"/"L")^(1/2)`

Example

`"0.057475Ω"="0.07Ns/m"/("8.9F"/"6H")^(1/2)`

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Resistance with respect to Damping Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2)
R_o = ζ/(C/L)^(1/2)
This formula uses 4 Variables

Variables Used

Initial Resistance - (Measured in Ohm) - Initial Resistance is a measure of the opposition to current flow in an electrical circuit.
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.
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

Damping Co-efficient: 0.07 Newton Second per Meter --> 0.07 Newton Second per Meter 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

R_o = ζ/(C/L)^(1/2) --> 0.07/(8.9/6)^(1/2)

Evaluating ... ...

R_o = 0.0574749579079172

STEP 3: Convert Result to Output's Unit

0.0574749579079172 Ohm --> No Conversion Required

FINAL ANSWER

0.0574749579079172 ≈ 0.057475 Ohm <-- Initial Resistance

(Calculation completed in 00.004 seconds)

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Created by tharun

vellore institute of technology (vitap university), amaravati

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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

Resistance with respect to Damping Coefficient Formula

Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2)
R_o = ζ/(C/L)^(1/2)

Why a system with a high damping coefficient would be preferred ?

A system with a high damping coefficient (ζ) is preferred in scenarios where rapid settling time, minimal overshoot, and stability are critical requirements. In practical applications, a high damping coefficient contributes to stability, precision, and safety. It helps to damp out undesirable oscillations and ensures that the system settles quickly and smoothly after disturbances or inputs.

How to Calculate Resistance with respect to Damping Coefficient?

Resistance with respect to Damping Coefficient calculator uses Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2) to calculate the Initial Resistance, The Resistance with respect to Damping Coefficient formula shows how the damping coefficient affects the resistance in an electrical circuit with inductance. The higher the damping coefficient, the higher the resistance required to achieve a specific damping effect in the system. Initial Resistance is denoted by R_o symbol.

How to calculate Resistance with respect to Damping Coefficient using this online calculator? To use this online calculator for Resistance with respect to Damping Coefficient, enter Damping Co-efficient (ζ), Capacitance (C) & Inductance (L) and hit the calculate button. Here is how the Resistance with respect to Damping Coefficient calculation can be explained with given input values -> 0.057475 = 0.07/(8.9/6)^(1/2).

FAQ

What is Resistance with respect to Damping Coefficient?

The Resistance with respect to Damping Coefficient formula shows how the damping coefficient affects the resistance in an electrical circuit with inductance. The higher the damping coefficient, the higher the resistance required to achieve a specific damping effect in the system and is represented as R_o = ζ/(C/L)^(1/2) or Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2). 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, 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 Resistance with respect to Damping Coefficient?

The Resistance with respect to Damping Coefficient formula shows how the damping coefficient affects the resistance in an electrical circuit with inductance. The higher the damping coefficient, the higher the resistance required to achieve a specific damping effect in the system is calculated using Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2). To calculate Resistance with respect to Damping Coefficient, you need Damping Co-efficient (ζ), Capacitance (C) & Inductance (L). With our tool, you need to enter the respective value for Damping Co-efficient, Capacitance & Inductance 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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