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Transformation Ratio given Primary 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' 1}{X L1}}

K - Transformation Ratio?X'₁ - Reactance of Primary in Secondary?X_L1 - Primary Leakage Reactance?

Transformation Ratio given Primary Leakage Reactance Example

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

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

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

1.206 = \sqrt{\frac{1.28}{0.88}}

1.206 = \sqrt{\frac{1.28Ω}{0.88Ω}}

1.206 = \sqrt{\frac{1.28}{0.88}}

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Transformation Ratio given Primary Leakage Reactance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K = \sqrt{\frac{1.28Ω}{0.88Ω}}

Next Step Prepare to Evaluate

∴

K = \sqrt{\frac{1.28}{0.88}}

Next Step Evaluate

∴

K = 1.20604537831105

LAST Step Rounding Answer

∴

K = 1.206

Transformation Ratio given Primary 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

Reactance of Primary in Secondary

Reactance of Primary in Secondary referred to as secondary is the Reactance of Primary winding in Secondary.

Symbol: X'₁

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Reactance of Primary in Secondary

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

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 Secondary Leakage Reactance

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

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 Primary Leakage Reactance?

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

How to evaluate Transformation Ratio given Primary Leakage Reactance using this online evaluator? To use this online evaluator for Transformation Ratio given Primary Leakage Reactance, enter Reactance of Primary in Secondary (X'₁) & Primary Leakage Reactance (X_L1) and hit the calculate button.

FAQs on Transformation Ratio given Primary Leakage Reactance

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

The formula of Transformation Ratio given Primary Leakage Reactance is expressed as Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance). Here is an example- 1.206045 = sqrt(1.28/0.88).

How to calculate Transformation Ratio given Primary Leakage Reactance?

With Reactance of Primary in Secondary (X'₁) & Primary Leakage Reactance (X_L1) we can find Transformation Ratio given Primary Leakage Reactance using the formula - Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance). 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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