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Impedance for RC Circuit Formula

GoImpedance for LCR Circuit Formula

GoImpedance for LR 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} + \frac{1}{{(ω f \cdot C)}^{2}}}

Z - Impedance?R - Resistance?ω_f - Angular Frequency?C - Capacitance?

Impedance for RC Circuit Example

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

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

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

10.1 = \sqrt{{10.1}^{2} + \frac{1}{{(10.28 \cdot 5)}^{2}}}

10.1Ω = \sqrt{{10.1Ω}^{2} + \frac{1}{{(10.28Hz \cdot 5F)}^{2}}}

10.1 = \sqrt{{10.1}^{2} + \frac{1}{{(10.28 \cdot 5)}^{2}}}

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Impedance for RC Circuit Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Z = \sqrt{{10.1Ω}^{2} + \frac{1}{{(10.28Hz \cdot 5F)}^{2}}}

Next Step Prepare to Evaluate

∴

Z = \sqrt{{10.1}^{2} + \frac{1}{{(10.28 \cdot 5)}^{2}}}

Next Step Evaluate

∴

Z = 10.1000187379463Ω

LAST Step Rounding Answer

∴

Z = 10.1Ω

Impedance for RC 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

Capacitance

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

Symbol: C

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Capacitance

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 LR Circuit

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

Go Impedance given Energy and Current

Z = \frac{E}{i p}

How to Evaluate Impedance for RC Circuit?

Impedance for RC Circuit evaluator uses Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2) to evaluate the Impedance, The Impedance for RC Circuit is defined as the total opposition offered to the flow of current in an RC series circuit. It is measured in ohms. Impedance is denoted by Z symbol.

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

FAQs on Impedance for RC Circuit

What is the formula to find Impedance for RC Circuit?

The formula of Impedance for RC Circuit is expressed as Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^2). Here is an example- 10.10002 = sqrt(10.1^2+1/(10.28*5)^2).

How to calculate Impedance for RC Circuit?

With Resistance (R), Angular Frequency (ω_f) & Capacitance (C) we can find Impedance for RC Circuit using the formula - Impedance = sqrt(Resistance^2+1/(Angular Frequency*Capacitance)^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+(Angular Frequency*Inductance)^2)
Impedance=Electric Energy/Electric Current

Can the Impedance for RC Circuit be negative?

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

Which unit is used to measure Impedance for RC Circuit?

Impedance for RC 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 RC Circuit can be measured.

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