Impedance for LCR Circuit Calculator

✖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%
✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ 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%

✖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 LCR Circuit [Z]

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Impedance for LCR Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Impedance = sqrt(Resistance^2+(1/(Angular Frequency*Capacitance)-(Angular Frequency*Inductance))^2)
Z = sqrt(R^2+(1/(ω_f*C)-(ω_f*L))^2)
This formula uses 1 Functions, 5 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.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
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
Capacitance: 5 Farad --> 5 Farad 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+(1/(ω_f*C)-(ω_f*L))^2) --> sqrt(10.1^2+(1/(10.28*5)-(10.28*5.7))^2)

Evaluating ... ...

Z = 59.4409084259895

STEP 3: Convert Result to Output's Unit

59.4409084259895 Ohm --> No Conversion Required

FINAL ANSWER

59.4409084259895 ≈ 59.44091 Ohm <-- Impedance

(Calculation completed in 00.004 seconds)

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< Impedance Calculators

Impedance for LCR Circuit

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

Impedance for RC Circuit

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

Impedance for LR Circuit

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

Impedance given Energy and Current

LaTeX Go Impedance = Electric Energy/Electric Current

Impedance for LCR Circuit Formula

LaTeX Go

Impedance = sqrt(Resistance^2+(1/(Angular Frequency*Capacitance)-(Angular Frequency*Inductance))^2)
Z = sqrt(R^2+(1/(ω_f*C)-(ω_f*L))^2)

What is an LCR circuit?

An LCR circuit, also known as a resonant circuit, tuned circuit, or an RLC circuit, is an electrical circuit consisting of an inductor (L), capacitor (C), and resistor (R) connected in series or parallel.

How to Calculate Impedance for LCR Circuit?

Impedance for LCR Circuit calculator uses Impedance = sqrt(Resistance^2+(1/(Angular Frequency*Capacitance)-(Angular Frequency*Inductance))^2) to calculate the Impedance, The Impedance for LCR 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 LCR Circuit using this online calculator? To use this online calculator for Impedance for LCR Circuit, enter Resistance (R), Angular Frequency (ω_f), Capacitance (C) & Inductance (L) and hit the calculate button. Here is how the Impedance for LCR Circuit calculation can be explained with given input values -> 59.44091 = sqrt(10.1^2+(1/(10.28*5)-(10.28*5.7))^2).

FAQ

What is Impedance for LCR Circuit?

The Impedance for LCR 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+(1/(ω_f*C)-(ω_f*L))^2) or Impedance = sqrt(Resistance^2+(1/(Angular Frequency*Capacitance)-(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, Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential & Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.

How to calculate Impedance for LCR Circuit?

The Impedance for LCR 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+(1/(Angular Frequency*Capacitance)-(Angular Frequency*Inductance))^2). To calculate Impedance for LCR Circuit, you need Resistance (R), Angular Frequency (ω_f), Capacitance (C) & Inductance (L). With our tool, you need to enter the respective value for Resistance, Angular Frequency, 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 Impedance?

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

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

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