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Transformation Ratio given Equivalent Reactance from Primary Side Formula

GoTransformation Ratio given Primary and Secondary Induced Voltage Formula

GoTransformation Ratio given Equivalent Resistance from Primary Side 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 01 - X L1}}

K - Transformation Ratio?X_L2 - Secondary Leakage Reactance?X₀₁ - Equivalent Reactance from Primary?X_L1 - Primary Leakage Reactance?

Transformation Ratio given Equivalent Reactance from Primary Side Example

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Here is how the Transformation Ratio given Equivalent Reactance from Primary Side equation looks like with Values.

Here is how the Transformation Ratio given Equivalent Reactance from Primary Side equation looks like with Units.

Here is how the Transformation Ratio given Equivalent Reactance from Primary Side equation looks like.

1.1997 = \sqrt{\frac{0.95}{1.54 - 0.88}}

1.1997 = \sqrt{\frac{0.95Ω}{1.54Ω - 0.88Ω}}

1.1997 = \sqrt{\frac{0.95}{1.54 - 0.88}}

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Transformation Ratio given Equivalent Reactance from Primary Side Solution

Follow our step by step solution on how to calculate Transformation Ratio given Equivalent Reactance from Primary Side?

FIRST Step Consider the formula

K = \sqrt{\frac{X L2}{X 01 - X L1}}

Next Step Substitute values of Variables

∴

K = \sqrt{\frac{0.95Ω}{1.54Ω - 0.88Ω}}

Next Step Prepare to Evaluate

∴

K = \sqrt{\frac{0.95}{1.54 - 0.88}}

Next Step Evaluate

∴

K = 1.19974744817146

LAST Step Rounding Answer

∴

K = 1.1997

Transformation Ratio given Equivalent Reactance from Primary Side 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

Equivalent Reactance from Primary

The Equivalent Reactance from Primary side is the total Reactance of the primary side.

Symbol: X₀₁

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Equivalent Reactance from Primary

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 Induced Voltage

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

Go Transformation Ratio given Equivalent Resistance from Primary Side

K = \sqrt{\frac{R 2}{R 01 - R 1}}

Go Transformation Ratio given Equivalent Resistance from Secondary Side

K = \sqrt{\frac{R 02 - R 2}{R 1}}

Go Transformation Ratio given Equivalent Reactance from Secondary Side

K = \sqrt{\frac{X 02 - X L2}{X L1}}

How to Evaluate Transformation Ratio given Equivalent Reactance from Primary Side?

Transformation Ratio given Equivalent Reactance from Primary Side evaluator uses Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance)) to evaluate the Transformation Ratio, The Transformation Ratio given Equivalent Reactance from Primary Side 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 Equivalent Reactance from Primary Side using this online evaluator? To use this online evaluator for Transformation Ratio given Equivalent Reactance from Primary Side, enter Secondary Leakage Reactance (X_L2), Equivalent Reactance from Primary (X₀₁) & Primary Leakage Reactance (X_L1) and hit the calculate button.

FAQs on Transformation Ratio given Equivalent Reactance from Primary Side

What is the formula to find Transformation Ratio given Equivalent Reactance from Primary Side?

The formula of Transformation Ratio given Equivalent Reactance from Primary Side is expressed as Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance)). Here is an example- 1.199747 = sqrt(0.95/(1.54-0.88)).

How to calculate Transformation Ratio given Equivalent Reactance from Primary Side?

With Secondary Leakage Reactance (X_L2), Equivalent Reactance from Primary (X₀₁) & Primary Leakage Reactance (X_L1) we can find Transformation Ratio given Equivalent Reactance from Primary Side using the formula - Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-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=EMF Induced in Secondary/EMF Induced in Primary
Transformation Ratio=sqrt(Resistance of Secondary/(Equivalent Resistance from Primary-Resistance of Primary))
Transformation Ratio=sqrt((Equivalent Resistance from Secondary-Resistance of Secondary)/Resistance of Primary)

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Transformation Ratio given Equivalent Reactance from Primary Side Formula

​GoTransformation Ratio given Primary and Secondary Induced Voltage Formula

​GoTransformation Ratio given Equivalent Resistance from Primary Side Formula

Transformation Ratio given Equivalent Reactance from Primary Side Example

Transformation Ratio given Equivalent Reactance from Primary Side Solution

Transformation Ratio given Equivalent Reactance from Primary Side Formula Elements

Other Formulas to find Transformation Ratio

How to Evaluate Transformation Ratio given Equivalent Reactance from Primary Side?

FAQs on Transformation Ratio given Equivalent Reactance from Primary Side

Variable Name

GoTransformation Ratio given Primary and Secondary Induced Voltage Formula

GoTransformation Ratio given Equivalent Resistance from Primary Side Formula