Primary Leakage Reactance given Impedance of Primary Winding Calculator

✖The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have.ⓘ Impedance of Primary [Z₁]			+10% -10%
✖Resistance of Primary Winding is the resistance of primary winding.ⓘ Resistance of Primary [R₁]			+10% -10%

✖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.ⓘ Primary Leakage Reactance given Impedance of Primary Winding [X_L1]

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Primary Leakage Reactance given Impedance of Primary Winding Solution

STEP 0: Pre-Calculation Summary

Formula Used

Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2)
X_L1 = sqrt(Z₁^2-R₁^2)
This formula uses 1 Functions, 3 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

Primary Leakage Reactance - (Measured in Ohm) - 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.
Impedance of Primary - (Measured in Ohm) - The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have.
Resistance of Primary - (Measured in Ohm) - Resistance of Primary Winding is the resistance of primary winding.

STEP 1: Convert Input(s) to Base Unit

Impedance of Primary: 18 Ohm --> 18 Ohm No Conversion Required
Resistance of Primary: 17.98 Ohm --> 17.98 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_L1 = sqrt(Z₁^2-R₁^2) --> sqrt(18^2-17.98^2)

Evaluating ... ...

X_L1 = 0.848292402417915

STEP 3: Convert Result to Output's Unit

0.848292402417915 Ohm --> No Conversion Required

FINAL ANSWER

0.848292402417915 ≈ 0.848292 Ohm <-- Primary Leakage Reactance

(Calculation completed in 00.006 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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National Institute of Technology (NIT), Jamshedpur

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< Reactance Calculators

Secondary Leakage Reactance given Equivalent Reactance from Secondary Side

LaTeX Go Secondary Leakage Reactance = Equivalent Reactance from Secondary-Primary Leakage Reactance*Transformation Ratio^2

Reactance of Primary in Secondary using Equivalent Reactance from Secondary Side

LaTeX Go Reactance of Primary in Secondary = Equivalent Reactance from Secondary-Secondary Leakage Reactance

Reactance of Secondary in Primary using Equivalent Reactance from Primary Side

LaTeX Go Reactance of Secondary in Primary = Equivalent Reactance from Primary-Primary Leakage Reactance

Primary Leakage Reactance using Equivalent Reactance from Primary Side

LaTeX Go Primary Leakage Reactance = Equivalent Reactance from Primary-Reactance of Secondary in Primary

Primary Leakage Reactance given Impedance of Primary Winding Formula

LaTeX Go

Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2)
X_L1 = sqrt(Z₁^2-R₁^2)

What type of winding is used in a transformer?

In core type, we wrap the primary, and secondary windings on the outside limbs, and in shell type, we place the primary and secondary windings on the inner limbs. We use concentric type windings in core type transformer. We place a low voltage winding near the core. However, to reduce leakage reactance, windings can be interlaced.

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

Primary Leakage Reactance given Impedance of Primary Winding calculator uses Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2) to calculate 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 calculate Primary Leakage Reactance given Impedance of Primary Winding using this online calculator? To use this online calculator for Primary Leakage Reactance given Impedance of Primary Winding, enter Impedance of Primary (Z₁) & Resistance of Primary (R₁) and hit the calculate button. Here is how the Primary Leakage Reactance given Impedance of Primary Winding calculation can be explained with given input values -> 0.848292 = sqrt(18^2-17.98^2).

FAQ

What is Primary Leakage Reactance given Impedance of Primary Winding?

The Primary Leakage Reactance given Impedance of Primary Winding formula is defined as the reactance of Secondary winding and is represented as X_L1 = sqrt(Z₁^2-R₁^2) or Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2). The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have & Resistance of Primary Winding is the resistance of primary winding.

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

The Primary Leakage Reactance given Impedance of Primary Winding formula is defined as the reactance of Secondary winding is calculated using Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2). To calculate Primary Leakage Reactance given Impedance of Primary Winding, you need Impedance of Primary (Z₁) & Resistance of Primary (R₁). With our tool, you need to enter the respective value for Impedance of Primary & Resistance of Primary 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 Primary Leakage Reactance?

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

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)

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