Transformation Ratio given Secondary Leakage Reactance Calculator

✖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.ⓘ Secondary Leakage Reactance [X_L2]			+10% -10%
✖The Reactance of Secondary in Primary is the reactance of secondary winding in primary.ⓘ Reactance of Secondary in Primary [X'₂]			+10% -10%

✖The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.ⓘ Transformation Ratio given Secondary Leakage Reactance [K]

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Transformation Ratio given Secondary Leakage Reactance

Formula

`"K" = sqrt("X"_{"L2"}/"X'"_{"2"})`

Example

`"1.199747"=sqrt("0.95Ω"/"0.66Ω")`

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Transformation Ratio given Secondary Leakage Reactance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)
K = sqrt(X_L2/X'₂)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Transformation Ratio - The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.
Secondary Leakage Reactance - (Measured in Ohm) - 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.
Reactance of Secondary in Primary - (Measured in Ohm) - The Reactance of Secondary in Primary is the reactance of secondary winding in primary.

STEP 1: Convert Input(s) to Base Unit

Secondary Leakage Reactance: 0.95 Ohm --> 0.95 Ohm No Conversion Required
Reactance of Secondary in Primary: 0.66 Ohm --> 0.66 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = sqrt(X_L2/X'₂) --> sqrt(0.95/0.66)

Evaluating ... ...

K = 1.19974744817146

STEP 3: Convert Result to Output's Unit

1.19974744817146 --> No Conversion Required

FINAL ANSWER

1.19974744817146 ≈ 1.199747 <-- Transformation Ratio

(Calculation completed in 00.012 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 10+ Transformation Ratio Calculators

Transformation Ratio given Equivalent Reactance from Secondary Side

Go Transformation Ratio = sqrt((Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Primary Leakage Reactance)

Transformation Ratio given Equivalent Reactance from Primary Side

Go Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance))

Transformation Ratio given Equivalent Resistance from Secondary Side

Go Transformation Ratio = sqrt((Equivalent Resistance from Secondary-Resistance of Secondary)/Resistance of Primary)

Transformation Ratio given Equivalent Resistance from Primary Side

Go Transformation Ratio = sqrt(Resistance of Secondary/(Equivalent Resistance from Primary-Resistance of Primary))

Transformation Ratio given Secondary Leakage Reactance

Go Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)

Transformation Ratio given Primary Leakage Reactance

Go Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)

Transformation Ratio given Primary and Secondary Number of Turns

Go Transformation Ratio = Number of Turns in Secondary/Number of Turns in Primary

Transformation Ratio given Primary and Secondary Induced Voltage

Go Transformation Ratio = EMF Induced in Secondary/EMF Induced in Primary

Transformation Ratio given Primary and Secondary Voltage

Go Transformation Ratio = Secondary Voltage/Primary Voltage

Transformation Ratio given Primary and Secondary Current

Go Transformation Ratio = Primary Current/Secondary Current

< 25 Transformer Circuit Calculators

EMF Induced in Secondary Winding

Go EMF Induced in Secondary = 4.44*Number of Turns in Secondary*Supply Frequency*Area of Core*Maximum Flux Density

EMF Induced in Primary Winding

Go EMF Induced in Primary = 4.44*Number of Turns in Primary*Supply Frequency*Area of Core*Maximum Flux Density

Equivalent Impedance of Transformer from Secondary Side

Go Equivalent Impedance from Secondary = sqrt(Equivalent Resistance from Secondary^2+Equivalent Reactance from Secondary^2)

Equivalent Impedance of Transformer from Primary Side

Go Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2)

Equivalent Resistance from Secondary Side

Go Equivalent Resistance from Secondary = Resistance of Secondary+Resistance of Primary*Transformation Ratio^2

Equivalent Resistance from Primary Side

Go Equivalent Resistance from Primary = Resistance of Primary+Resistance of Secondary/Transformation Ratio^2

P.U. Primary Resistance Drop

Go P U Primary Resistance drop = (Primary Current*Equivalent Resistance from Primary)/EMF Induced in Primary

Terminal Voltage during No Load

Go No Load Terminal Voltage = (Primary Voltage*Number of Turns in Secondary)/Number of Turns in Primary

Transformation Ratio given Secondary Leakage Reactance

Go Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)

Transformation Ratio given Primary Leakage Reactance

Go Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)

Equivalent Reactance of Transformer from Secondary Side

Go Equivalent Reactance from Secondary = Secondary Leakage Reactance+Reactance of Primary in Secondary

Equivalent Reactance of Transformer from Primary Side

Go Equivalent Reactance from Primary = Primary Leakage Reactance+Reactance of Secondary in Primary

Reactance of Secondary Winding in Primary

Go Reactance of Secondary in Primary = Secondary Leakage Reactance/(Transformation Ratio^2)

Primary Leakage Reactance

Go Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2)

Reactance of Primary Winding in Secondary

Go Reactance of Primary in Secondary = Primary Leakage Reactance*Transformation Ratio^2

Resistance of Secondary Winding in Primary

Go Resistance of Secondary in Primary = Resistance of Secondary/Transformation Ratio^2

Secondary Winding Resistance

Go Resistance of Secondary = Resistance of Secondary in Primary*Transformation Ratio^2

Primary Winding Resistance

Go Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2)

Resistance of Primary Winding in Secondary

Go Resistance of Primary in Secondary = Resistance of Primary*Transformation Ratio^2

Transformation Ratio given Primary and Secondary Number of Turns

Go Transformation Ratio = Number of Turns in Secondary/Number of Turns in Primary

Secondary Leakage Reactance

Go Secondary Leakage Reactance = Self Induced EMF in Secondary/Secondary Current

Transformation Ratio given Primary and Secondary Current

Go Transformation Ratio = Primary Current/Secondary Current

Transformation Ratio given Primary and Secondary Voltage

Go Transformation Ratio = Secondary Voltage/Primary Voltage

Secondary Voltage given Voltage Transformation Ratio

Go Secondary Voltage = Primary Voltage*Transformation Ratio

Primary Voltage given Voltage Transformation Ratio

Go Primary Voltage = Secondary Voltage/Transformation Ratio

Transformation Ratio given Secondary Leakage Reactance Formula

Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)
K = sqrt(X_L2/X'₂)

What type of winding is used in a transformer?

In core type, we wrap the primary, and secondary windings on the outside limbs, and in shell type, we place the primary and secondary windings on the inner limbs. We use concentric type windings in core type transformer. We place a low voltage winding near the core. However, to reduce leakage reactance, windings can be interlaced.

How to Calculate Transformation Ratio given Secondary Leakage Reactance?

Transformation Ratio given Secondary Leakage Reactance calculator uses Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary) to calculate 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 calculate Transformation Ratio given Secondary Leakage Reactance using this online calculator? To use this online calculator 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. Here is how the Transformation Ratio given Secondary Leakage Reactance calculation can be explained with given input values -> 1.199747 = sqrt(0.95/0.66).

FAQ

What is Transformation Ratio given Secondary Leakage Reactance?

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 and is represented as K = sqrt(X_L2/X'₂) or Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary). 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 & The Reactance of Secondary in Primary is the reactance of secondary winding in primary.

How to calculate Transformation Ratio given Secondary Leakage Reactance?

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 is calculated using Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary). To calculate Transformation Ratio given Secondary Leakage Reactance, you need Secondary Leakage Reactance (X_L2) & Reactance of Secondary in Primary (X'₂). With our tool, you need to enter the respective value for Secondary Leakage Reactance & Reactance of Secondary in Primary and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Transformation Ratio?

In this formula, Transformation Ratio uses Secondary Leakage Reactance & Reactance of Secondary in Primary. We can use 13 other way(s) to calculate the same, which is/are as follows -

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)
Transformation Ratio = sqrt((Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Primary Leakage Reactance)
Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance))
Transformation Ratio = Secondary Voltage/Primary Voltage
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)
Transformation Ratio = Primary Current/Secondary Current
Transformation Ratio = Number of Turns in Secondary/Number of Turns in Primary
Transformation Ratio = Secondary Voltage/Primary Voltage
Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)

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