Impedance for LR Circuit Calculator

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Electromagnetic Induction

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Magnetic Field due to Current

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Impedance

Basics of Electromagentic Induction

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✖Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Resistance [R]			+10% -10%
✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω_f]			+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%

✖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.ⓘ Impedance for LR Circuit [Z]

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Formula

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Impedance for LR Circuit

Formula

`"Z" = sqrt("R"^2+("ω"_{"f"}*"L")^2)`

Example

`"59.46008Ω"=sqrt(("10.1Ω")^2+("10.28Hz"*"5.7H")^2)`

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Impedance for LR Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2)
Z = sqrt(R^2+(ω_f*L)^2)
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

Impedance - (Measured in Ohm) - 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.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
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

Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required
Angular Frequency: 10.28 Hertz --> 10.28 Hertz No Conversion Required
Inductance: 5.7 Henry --> 5.7 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = sqrt(R^2+(ω_f*L)^2) --> sqrt(10.1^2+(10.28*5.7)^2)

Evaluating ... ...

Z = 59.4600808610281

STEP 3: Convert Result to Output's Unit

59.4600808610281 Ohm --> No Conversion Required

FINAL ANSWER

59.4600808610281 ≈ 59.46008 Ohm <-- Impedance

(Calculation completed in 00.004 seconds)

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< 4 Impedance Calculators

Impedance for LCR Circuit

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

Impedance for RC Circuit

Go Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2)

Impedance for LR Circuit

Go Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2)

Impedance given Energy and Current

Go Impedance = Electric Energy/Electric Current

Impedance for LR Circuit Formula

Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2)
Z = sqrt(R^2+(ω_f*L)^2)

What is a LR circuit ?

An LR Series Circuit consists basically of an inductor of inductance, L connected in series with a resistor of resistance, R. The resistance “R” is the DC resistive value of the wire turns or loops that go into making up the inductors coil.

How to Calculate Impedance for LR Circuit?

Impedance for LR Circuit calculator uses Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2) to calculate 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 calculate Impedance for LR Circuit using this online calculator? To use this online calculator for Impedance for LR Circuit, enter Resistance (R), Angular Frequency (ω_f) & Inductance (L) and hit the calculate button. Here is how the Impedance for LR Circuit calculation can be explained with given input values -> 59.46008 = sqrt(10.1^2+(10.28*5.7)^2).

FAQ

What is Impedance for LR Circuit?

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 and is represented as Z = sqrt(R^2+(ω_f*L)^2) or Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2). Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm, Angular Frequency of a steadily recurring phenomenon expressed in radians per second & Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.

How to calculate Impedance for LR Circuit?

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 is calculated using Impedance = sqrt(Resistance^2+(Angular Frequency*Inductance)^2). To calculate Impedance for LR Circuit, you need Resistance (R), Angular Frequency (ω_f) & Inductance (L). With our tool, you need to enter the respective value for Resistance, Angular Frequency & 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 Impedance?

In this formula, Impedance uses Resistance, Angular Frequency & Inductance. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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