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Resistance with respect to Damping Coefficient Formula

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Initial Resistance is a measure of the opposition to current flow in an electrical circuit. Check FAQs

R o = \frac{ζ}{{(\frac{C}{L})}^{\frac{1}{2}}}

R_o - Initial Resistance?ζ - Damping Co-efficient?C - Capacitance?L - Inductance?

Resistance with respect to Damping Coefficient Example

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Here is how the Resistance with respect to Damping Coefficient equation looks like with Values.

Here is how the Resistance with respect to Damping Coefficient equation looks like with Units.

Here is how the Resistance with respect to Damping Coefficient equation looks like.

0.0575 = \frac{0.07}{{(\frac{8.9}{6})}^{\frac{1}{2}}}

0.0575Ω = \frac{0.07Ns/m}{{(\frac{8.9F}{6H})}^{\frac{1}{2}}}

0.0575 = \frac{0.07}{{(\frac{8.9}{6})}^{\frac{1}{2}}}

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Resistance with respect to Damping Coefficient Solution

Follow our step by step solution on how to calculate Resistance with respect to Damping Coefficient?

FIRST Step Consider the formula

R o = \frac{ζ}{{(\frac{C}{L})}^{\frac{1}{2}}}

Next Step Substitute values of Variables

∴

R o = \frac{0.07Ns/m}{{(\frac{8.9F}{6H})}^{\frac{1}{2}}}

Next Step Prepare to Evaluate

∴

R o = \frac{0.07}{{(\frac{8.9}{6})}^{\frac{1}{2}}}

Next Step Evaluate

∴

R o = 0.0574749579079172Ω

LAST Step Rounding Answer

∴

R o = 0.0575Ω

Resistance with respect to Damping Coefficient Formula Elements

Variables

Initial Resistance

Initial Resistance is a measure of the opposition to current flow in an electrical circuit.

Symbol: R_o

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Initial Resistance

Damping Co-efficient

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.

Symbol: ζ

Measurement: Damping CoefficientUnit: Ns/m

Note: Value should be greater than 0.

Formulas to find Damping Co-efficient

Capacitance

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.

Symbol: C

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Capacitance

Inductance

Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

Other formulas in Continuous Time Signals category

Go Transfer Function

H = \frac{S out}{S in}

Go Natural Frequency

f n = \sqrt{f in \cdot f h}

Go Damping Co-efficient

ζ = \frac{1}{2 \cdot A o} \cdot \sqrt{\frac{f in}{f h}}

Go Coupling Co-efficient

γ = \frac{C o}{C + C o}

How to Evaluate Resistance with respect to Damping Coefficient?

Resistance with respect to Damping Coefficient evaluator uses Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2) to evaluate 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 evaluate Resistance with respect to Damping Coefficient using this online evaluator? To use this online evaluator for Resistance with respect to Damping Coefficient, enter Damping Co-efficient (ζ), Capacitance (C) & Inductance (L) and hit the calculate button.

FAQs on Resistance with respect to Damping Coefficient

What is the formula to find Resistance with respect to Damping Coefficient?

The formula of Resistance with respect to Damping Coefficient is expressed as Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2). Here is an example- 0.057475 = 0.07/(8.9/6)^(1/2).

How to calculate Resistance with respect to Damping Coefficient?

With Damping Co-efficient (ζ), Capacitance (C) & Inductance (L) we can find Resistance with respect to Damping Coefficient using the formula - Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2).

Can the Resistance with respect to Damping Coefficient be negative?

No, the Resistance with respect to Damping Coefficient, measured in Electric Resistance cannot be negative.

Which unit is used to measure Resistance with respect to Damping Coefficient?

Resistance with respect to Damping Coefficient 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 Resistance with respect to Damping Coefficient can be measured.

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Resistance with respect to Damping Coefficient Formula

Resistance with respect to Damping Coefficient Example

Resistance with respect to Damping Coefficient Solution

Resistance with respect to Damping Coefficient Formula Elements

Other formulas in Continuous Time Signals category

How to Evaluate Resistance with respect to Damping Coefficient?

FAQs on Resistance with respect to Damping Coefficient

Variable Name