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Transformation Ratio given Secondary Leakage Reactance Formula

GoTransformation Ratio given Primary and Secondary Current Formula

GoTransformation Ratio given Primary and Secondary Number of Turns Formula

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The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage. Check FAQs

K = \sqrt{\frac{X L2}{X' 2}}

K - Transformation Ratio?X_L2 - Secondary Leakage Reactance?X'₂ - Reactance of Secondary in Primary?

Transformation Ratio given Secondary Leakage Reactance Example

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Here is how the Transformation Ratio given Secondary Leakage Reactance equation looks like with Values.

Here is how the Transformation Ratio given Secondary Leakage Reactance equation looks like with Units.

Here is how the Transformation Ratio given Secondary Leakage Reactance equation looks like.

1.1997 = \sqrt{\frac{0.95}{0.66}}

1.1997 = \sqrt{\frac{0.95Ω}{0.66Ω}}

1.1997 = \sqrt{\frac{0.95}{0.66}}

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Transformation Ratio given Secondary Leakage Reactance Solution

Follow our step by step solution on how to calculate Transformation Ratio given Secondary Leakage Reactance?

FIRST Step Consider the formula

K = \sqrt{\frac{X L2}{X' 2}}

Next Step Substitute values of Variables

∴

K = \sqrt{\frac{0.95Ω}{0.66Ω}}

Next Step Prepare to Evaluate

∴

K = \sqrt{\frac{0.95}{0.66}}

Next Step Evaluate

∴

K = 1.19974744817146

LAST Step Rounding Answer

∴

K = 1.1997

Transformation Ratio given Secondary Leakage Reactance Formula Elements

Variables

Functions

Transformation Ratio

The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Transformation Ratio

Secondary Leakage Reactance

Secondary 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_L2

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Secondary Leakage Reactance

Reactance of Secondary in Primary

The Reactance of Secondary in Primary is the reactance of secondary winding in primary.

Symbol: X'₂

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Reactance of Secondary in 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 Transformation Ratio

Go Transformation Ratio given Primary and Secondary Current

K = \frac{I 1}{I 2}

Go Transformation Ratio given Primary and Secondary Number of Turns

K = \frac{N 2}{N 1}

Go Transformation Ratio given Primary and Secondary Voltage

K = \frac{V 2}{V 1}

Go Transformation Ratio given Primary Leakage Reactance

K = \sqrt{\frac{X' 1}{X L1}}

Other formulas in Transformation Ratio category

Go Equivalent Reactance of Transformer from Primary Side

X 01 = X L1 + X' 2

Go Equivalent Reactance of Transformer from Secondary Side

X 02 = X L2 + X' 1

Go Primary Leakage Reactance

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

Go Reactance of Primary Winding in Secondary

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

How to Evaluate Transformation Ratio given Secondary Leakage Reactance?

Transformation Ratio given Secondary Leakage Reactance evaluator uses Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary) to evaluate the Transformation Ratio, Transformation Ratio given Secondary Leakage Reactance formula is defined as the square root of Secondary Leakage Reactance and Reactance of Secondary winding in the primary. Transformation Ratio is denoted by K symbol.

How to evaluate Transformation Ratio given Secondary Leakage Reactance using this online evaluator? To use this online evaluator for Transformation Ratio given Secondary Leakage Reactance, enter Secondary Leakage Reactance (X_L2) & Reactance of Secondary in Primary (X'₂) and hit the calculate button.

FAQs on Transformation Ratio given Secondary Leakage Reactance

What is the formula to find Transformation Ratio given Secondary Leakage Reactance?

The formula of Transformation Ratio given Secondary Leakage Reactance is expressed as Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary). Here is an example- 1.199747 = sqrt(0.95/0.66).

How to calculate Transformation Ratio given Secondary Leakage Reactance?

With Secondary Leakage Reactance (X_L2) & Reactance of Secondary in Primary (X'₂) we can find Transformation Ratio given Secondary Leakage Reactance using the formula - Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Transformation Ratio?

Here are the different ways to Calculate Transformation Ratio-

Transformation Ratio=Primary Current/Secondary Current
Transformation Ratio=Number of Turns in Secondary/Number of Turns in Primary
Transformation Ratio=Secondary Voltage/Primary Voltage

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