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Transformation Ratio given Primary and Secondary Voltage 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 = \frac{V 2}{V 1}

K - Transformation Ratio?V₂ - Secondary Voltage?V₁ - Primary Voltage?

Transformation Ratio given Primary and Secondary Voltage Example

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Here is how the Transformation Ratio given Primary and Secondary Voltage equation looks like with Values.

Here is how the Transformation Ratio given Primary and Secondary Voltage equation looks like with Units.

Here is how the Transformation Ratio given Primary and Secondary Voltage equation looks like.

1.2 = \frac{288}{240}

1.2 = \frac{288V}{240V}

1.2 = \frac{288}{240}

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Transformation Ratio given Primary and Secondary Voltage Solution

Follow our step by step solution on how to calculate Transformation Ratio given Primary and Secondary Voltage?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K = \frac{288V}{240V}

Next Step Prepare to Evaluate

∴

K = \frac{288}{240}

LAST Step Evaluate

∴

K = 1.2

Transformation Ratio given Primary and Secondary Voltage Formula Elements

Variables

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 Voltage

Secondary Voltage is defined as the voltage on the secondary side of a transformer or the side at which load is connected.

Symbol: V₂

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Secondary Voltage

Primary Voltage

Primary Voltage means the level of voltage at facilities at which electric power is taken or delivered, generally at a level between 12 kV and 33 kV, but always between 2 kV and 50 kV.

Symbol: V₁

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Primary Voltage

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 Leakage Reactance

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

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 and Secondary Voltage?

Transformation Ratio given Primary and Secondary Voltage evaluator uses Transformation Ratio = Secondary Voltage/Primary Voltage to evaluate the Transformation Ratio, The Transformation Ratio given Primary and Secondary Voltage formula is defined as the ratio of the EMF in the secondary coil to that in the primary coil. Due to the resistance in the winding and some leakage flux, there is some loss in voltage. Transformation Ratio is denoted by K symbol.

How to evaluate Transformation Ratio given Primary and Secondary Voltage using this online evaluator? To use this online evaluator for Transformation Ratio given Primary and Secondary Voltage, enter Secondary Voltage (V₂) & Primary Voltage (V₁) and hit the calculate button.

FAQs on Transformation Ratio given Primary and Secondary Voltage

What is the formula to find Transformation Ratio given Primary and Secondary Voltage?

The formula of Transformation Ratio given Primary and Secondary Voltage is expressed as Transformation Ratio = Secondary Voltage/Primary Voltage. Here is an example- 1.2 = 288/240.

How to calculate Transformation Ratio given Primary and Secondary Voltage?

With Secondary Voltage (V₂) & Primary Voltage (V₁) we can find Transformation Ratio given Primary and Secondary Voltage using the formula - Transformation Ratio = Secondary Voltage/Primary Voltage.

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=sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)

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