Transformer Ratio Formula

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Transformer ratio expresses the relationship between the number of turns in the primary winding to the number of turns in the secondary winding, determining voltage transformation in a transformer. Check FAQs
R=ΦpΦs
R - Transformer ratio?Φp - Primary Phasor?Φs - Secondary Phasor?

Transformer Ratio Example

With values
With units
Only example

Here is how the Transformer Ratio equation looks like with Values.

Here is how the Transformer Ratio equation looks like with Units.

Here is how the Transformer Ratio equation looks like.

20Edit=9Edit0.45Edit
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Transformer Ratio Solution

Follow our step by step solution on how to calculate Transformer Ratio?

FIRST Step Consider the formula
R=ΦpΦs
Next Step Substitute values of Variables
R=90.45
Next Step Prepare to Evaluate
R=90.45
LAST Step Evaluate
R=20

Transformer Ratio Formula Elements

Variables
Transformer ratio
Transformer ratio expresses the relationship between the number of turns in the primary winding to the number of turns in the secondary winding, determining voltage transformation in a transformer.
Symbol: R
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Primary Phasor
Primary Phasor is a complex representation of voltage or current in the primary winding of a transformer, typically expressed in phasor notation, used in electrical analysis.
Symbol: Φp
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Secondary Phasor
Secondary Phasor is a complex number representing the voltage or current in the secondary winding of a transformer in phasor notation.
Symbol: Φs
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other formulas in Instrument Transformer category

​Go Voltage of Secondary Coil in Transformer Ratio Method
Vs=NsVpNp
​Go Turns Ratio in Transformer Ratio Method
η=NsNp
​Go Flux Linkage Sensitivity
Φ=SgRg
​Go Primary Phasor
Φp=RΦs

How to Evaluate Transformer Ratio?

Transformer Ratio evaluator uses Transformer ratio = Primary Phasor/Secondary Phasor to evaluate the Transformer ratio, The Transformer Ratio formula is defined as the ratio of the primary turns in the primary coil to the ratio of secondary coil turns. Transformer ratio is denoted by R symbol.

How to evaluate Transformer Ratio using this online evaluator? To use this online evaluator for Transformer Ratio, enter Primary Phasor p) & Secondary Phasor s) and hit the calculate button.

FAQs on Transformer Ratio

What is the formula to find Transformer Ratio?
The formula of Transformer Ratio is expressed as Transformer ratio = Primary Phasor/Secondary Phasor. Here is an example- 1.975417 = 9/secondary_phasor_instt.
How to calculate Transformer Ratio?
With Primary Phasor p) & Secondary Phasor s) we can find Transformer Ratio using the formula - Transformer ratio = Primary Phasor/Secondary Phasor.
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