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Impedance for LR Circuit Formula

GoImpedance for LCR Circuit Formula

GoImpedance for RC Circuit Formula

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Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system. Check FAQs

Z = \sqrt{R^{2} + {(ω f \cdot L)}^{2}}

Z - Impedance?R - Resistance?ω_f - Angular Frequency?L - Inductance?

Impedance for LR Circuit Example

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Here is how the Impedance for LR Circuit equation looks like with Values.

Here is how the Impedance for LR Circuit equation looks like with Units.

Here is how the Impedance for LR Circuit equation looks like.

59.4601 = \sqrt{{10.1}^{2} + {(10.28 \cdot 5.7)}^{2}}

59.4601Ω = \sqrt{{10.1Ω}^{2} + {(10.28Hz \cdot 5.7H)}^{2}}

59.4601 = \sqrt{{10.1}^{2} + {(10.28 \cdot 5.7)}^{2}}

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Impedance for LR Circuit Solution

Follow our step by step solution on how to calculate Impedance for LR Circuit?

FIRST Step Consider the formula

Z = \sqrt{R^{2} + {(ω f \cdot L)}^{2}}

Next Step Substitute values of Variables

∴

Z = \sqrt{{10.1Ω}^{2} + {(10.28Hz \cdot 5.7H)}^{2}}

Next Step Prepare to Evaluate

∴

Z = \sqrt{{10.1}^{2} + {(10.28 \cdot 5.7)}^{2}}

Next Step Evaluate

∴

Z = 59.4600808610281Ω

LAST Step Rounding Answer

∴

Z = 59.4601Ω

Impedance for LR Circuit Formula Elements

Variables

Functions

Impedance

Impedance (Z), in electrical devices, refers to the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.

Symbol: Z

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Impedance

Resistance

Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance

Angular Frequency

Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

Symbol: ω_f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Angular Frequency

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

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.

Syntax: sqrt(Number)

Other Formulas to find Impedance

Go Impedance for LCR Circuit

Z = \sqrt{R^{2} + {(\frac{1}{ω f \cdot C} - (ω f \cdot L))}^{2}}

Go Impedance for RC Circuit

Z = \sqrt{R^{2} + \frac{1}{{(ω f \cdot C)}^{2}}}

Go Impedance given Energy and Current

Z = \frac{E}{i p}

How to Evaluate Impedance for LR Circuit?

Impedance for LR Circuit evaluator uses Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2) to evaluate the Impedance, The Impedance for LR Circuit formula is defined as a measure of the total opposition that a circuit or a part of a circuit presents to electric current. Impedance includes both resistance and reactance. Impedance is denoted by Z symbol.

How to evaluate Impedance for LR Circuit using this online evaluator? To use this online evaluator for Impedance for LR Circuit, enter Resistance (R), Angular Frequency (ω_f) & Inductance (L) and hit the calculate button.

FAQs on Impedance for LR Circuit

What is the formula to find Impedance for LR Circuit?

The formula of Impedance for LR Circuit is expressed as Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2). Here is an example- 59.46008 = sqrt(10.1^2+(10.28*5.7)^2).

How to calculate Impedance for LR Circuit?

With Resistance (R), Angular Frequency (ω_f) & Inductance (L) we can find Impedance for LR Circuit using the formula - Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Impedance?

Here are the different ways to Calculate Impedance-

Impedance=sqrt(Resistance^2+(1/(Angular Frequency*Capacitance)-(Angular Frequency*Inductance))^2)
Impedance=sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2)
Impedance=Electric Energy/Electric Current

Can the Impedance for LR Circuit be negative?

Yes, the Impedance for LR Circuit, measured in Electric Resistance can be negative.

Which unit is used to measure Impedance for LR Circuit?

Impedance for LR Circuit 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 Impedance for LR Circuit can be measured.

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