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Primary Leakage Reactance given Impedance of Primary Winding Formula

GoPrimary Leakage Reactance using Equivalent Reactance from Primary Side Formula

GoPrimary Leakage Reactance given Equivalent Reactance from Secondary Side Formula

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Primary leakage reactance of a transformer arises from the fact that all the flux produced by one winding does not link with the other winding. Check FAQs

X L1 = \sqrt{{Z 1}^{2} - {R 1}^{2}}

X_L1 - Primary Leakage Reactance?Z₁ - Impedance of Primary?R₁ - Resistance of Primary?

Primary Leakage Reactance given Impedance of Primary Winding Example

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Here is how the Primary Leakage Reactance given Impedance of Primary Winding equation looks like with Values.

Here is how the Primary Leakage Reactance given Impedance of Primary Winding equation looks like with Units.

Here is how the Primary Leakage Reactance given Impedance of Primary Winding equation looks like.

0.8483 = \sqrt{18^{2} - {17.98}^{2}}

0.8483Ω = \sqrt{{18Ω}^{2} - {17.98Ω}^{2}}

0.8483 = \sqrt{18^{2} - {17.98}^{2}}

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Primary Leakage Reactance given Impedance of Primary Winding Solution

Follow our step by step solution on how to calculate Primary Leakage Reactance given Impedance of Primary Winding?

FIRST Step Consider the formula

X L1 = \sqrt{{Z 1}^{2} - {R 1}^{2}}

Next Step Substitute values of Variables

∴

X L1 = \sqrt{{18Ω}^{2} - {17.98Ω}^{2}}

Next Step Prepare to Evaluate

∴

X L1 = \sqrt{18^{2} - {17.98}^{2}}

Next Step Evaluate

∴

X L1 = 0.848292402417915Ω

LAST Step Rounding Answer

∴

X L1 = 0.8483Ω

Primary Leakage Reactance given Impedance of Primary Winding Formula Elements

Variables

Functions

Primary Leakage Reactance

Primary leakage reactance of a transformer arises from the fact that all the flux produced by one winding does not link with the other winding.

Symbol: X_L1

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Primary Leakage Reactance

Impedance of Primary

The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have.

Symbol: Z₁

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Impedance of Primary

Resistance of Primary

Resistance of Primary Winding is the resistance of primary winding.

Symbol: R₁

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance of Primary

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 Primary Leakage Reactance

Go Primary Leakage Reactance using Equivalent Reactance from Primary Side

X L1 = X 01 - X' 2

Go Primary Leakage Reactance given Equivalent Reactance from Secondary Side

X L1 = \frac{X 02 - X L2}{K^{2}}

Go Primary Leakage Reactance

X L1 = \frac{X' 1}{K^{2}}

Other formulas in Reactance category

Go Reactance of Primary in Secondary using Equivalent Reactance from Secondary Side

X' 1 = X 02 - X L2

Go Reactance of Secondary in Primary using Equivalent Reactance from Primary Side

X' 2 = X 01 - X L1

Go Secondary Leakage Reactance given Equivalent Reactance from Secondary Side

X L2 = X 02 - X L1 \cdot K^{2}

Go Secondary Leakage Reactance given Equivalent Reactance from Primary Side

X' 2 = (X 01 - X L1) \cdot K^{2}

How to Evaluate Primary Leakage Reactance given Impedance of Primary Winding?

Primary Leakage Reactance given Impedance of Primary Winding evaluator uses Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2) to evaluate the Primary Leakage Reactance, The Primary Leakage Reactance given Impedance of Primary Winding formula is defined as the reactance of Secondary winding. Primary Leakage Reactance is denoted by X_L1 symbol.

How to evaluate Primary Leakage Reactance given Impedance of Primary Winding using this online evaluator? To use this online evaluator for Primary Leakage Reactance given Impedance of Primary Winding, enter Impedance of Primary (Z₁) & Resistance of Primary (R₁) and hit the calculate button.

FAQs on Primary Leakage Reactance given Impedance of Primary Winding

What is the formula to find Primary Leakage Reactance given Impedance of Primary Winding?

The formula of Primary Leakage Reactance given Impedance of Primary Winding is expressed as Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2). Here is an example- 0.848292 = sqrt(18^2-17.98^2).

How to calculate Primary Leakage Reactance given Impedance of Primary Winding?

With Impedance of Primary (Z₁) & Resistance of Primary (R₁) we can find Primary Leakage Reactance given Impedance of Primary Winding using the formula - Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Primary Leakage Reactance?

Here are the different ways to Calculate Primary Leakage Reactance-

Primary Leakage Reactance=Equivalent Reactance from Primary-Reactance of Secondary in Primary
Primary Leakage Reactance=(Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Transformation Ratio^2
Primary Leakage Reactance=Reactance of Primary in Secondary/(Transformation Ratio^2)

Can the Primary Leakage Reactance given Impedance of Primary Winding be negative?

Yes, the Primary Leakage Reactance given Impedance of Primary Winding, measured in Electric Resistance can be negative.

Which unit is used to measure Primary Leakage Reactance given Impedance of Primary Winding?

Primary Leakage Reactance given Impedance of Primary Winding 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 Primary Leakage Reactance given Impedance of Primary Winding can be measured.

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Primary Leakage Reactance given Impedance of Primary Winding Formula

​GoPrimary Leakage Reactance using Equivalent Reactance from Primary Side Formula

​GoPrimary Leakage Reactance given Equivalent Reactance from Secondary Side Formula

Primary Leakage Reactance given Impedance of Primary Winding Example

Primary Leakage Reactance given Impedance of Primary Winding Solution

Primary Leakage Reactance given Impedance of Primary Winding Formula Elements

Other Formulas to find Primary Leakage Reactance

Other formulas in Reactance category

How to Evaluate Primary Leakage Reactance given Impedance of Primary Winding?

FAQs on Primary Leakage Reactance given Impedance of Primary Winding

Variable Name

GoPrimary Leakage Reactance using Equivalent Reactance from Primary Side Formula

GoPrimary Leakage Reactance given Equivalent Reactance from Secondary Side Formula