Transformation Ratio given Equivalent Resistance from Primary Side Calculator

✖Resistance of Secondary Winding is the resistance of secondary winding.ⓘ Resistance of Secondary [R₂]			+10% -10%
✖The Equivalent Resistance from Primary side is the total resistance of the primary side.ⓘ Equivalent Resistance from Primary [R₀₁]			+10% -10%
✖Resistance of Primary Winding is the resistance of primary winding.ⓘ Resistance of Primary [R₁]			+10% -10%

✖The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.ⓘ Transformation Ratio given Equivalent Resistance from Primary Side [K]

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Transformation Ratio given Equivalent Resistance from Primary Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformation Ratio = sqrt(Resistance of Secondary/(Equivalent Resistance from Primary-Resistance of Primary))
K = sqrt(R₂/(R₀₁-R₁))
This formula uses 1 Functions, 4 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.
Resistance of Secondary - (Measured in Ohm) - Resistance of Secondary Winding is the resistance of secondary winding.
Equivalent Resistance from Primary - (Measured in Ohm) - The Equivalent Resistance from Primary side is the total resistance of the primary side.
Resistance of Primary - (Measured in Ohm) - Resistance of Primary Winding is the resistance of primary winding.

STEP 1: Convert Input(s) to Base Unit

Resistance of Secondary: 25.9 Ohm --> 25.9 Ohm No Conversion Required
Equivalent Resistance from Primary: 35.97 Ohm --> 35.97 Ohm No Conversion Required
Resistance of Primary: 17.98 Ohm --> 17.98 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = sqrt(R₂/(R₀₁-R₁)) --> sqrt(25.9/(35.97-17.98))

Evaluating ... ...

K = 1.19987029130373

STEP 3: Convert Result to Output's Unit

1.19987029130373 --> No Conversion Required

FINAL ANSWER

1.19987029130373 ≈ 1.19987 <-- Transformation Ratio

(Calculation completed in 00.098 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Transformation Ratio Calculators

Transformation Ratio given Equivalent Reactance from Secondary Side

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

Transformation Ratio given Equivalent Resistance from Secondary Side

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

Transformation Ratio given Equivalent Resistance from Primary Side

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

Transformation Ratio given Primary and Secondary Induced Voltage

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

Transformation Ratio given Equivalent Resistance from Primary Side Formula

LaTeX Go

Transformation Ratio = sqrt(Resistance of Secondary/(Equivalent Resistance from Primary-Resistance of Primary))
K = sqrt(R₂/(R₀₁-R₁))

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 Equivalent Resistance from Primary Side?

Transformation Ratio given Equivalent Resistance from Primary Side calculator uses Transformation Ratio = sqrt(Resistance of Secondary/(Equivalent Resistance from Primary-Resistance of Primary)) to calculate the Transformation Ratio, The Transformation Ratio given Equivalent Resistance from Primary Side formula is defined as the square root of primary Leakage Resistance and Resistance of primary winding in the secondary. Transformation Ratio is denoted by K symbol.

How to calculate Transformation Ratio given Equivalent Resistance from Primary Side using this online calculator? To use this online calculator for Transformation Ratio given Equivalent Resistance from Primary Side, enter Resistance of Secondary (R₂), Equivalent Resistance from Primary (R₀₁) & Resistance of Primary (R₁) and hit the calculate button. Here is how the Transformation Ratio given Equivalent Resistance from Primary Side calculation can be explained with given input values -> 1.19987 = sqrt(25.9/(35.97-17.98)).

FAQ

What is Transformation Ratio given Equivalent Resistance from Primary Side?

The Transformation Ratio given Equivalent Resistance from Primary Side formula is defined as the square root of primary Leakage Resistance and Resistance of primary winding in the secondary and is represented as K = sqrt(R₂/(R₀₁-R₁)) or Transformation Ratio = sqrt(Resistance of Secondary/(Equivalent Resistance from Primary-Resistance of Primary)). Resistance of Secondary Winding is the resistance of secondary winding, The Equivalent Resistance from Primary side is the total resistance of the primary side & Resistance of Primary Winding is the resistance of primary winding.

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

The Transformation Ratio given Equivalent Resistance from Primary Side formula is defined as the square root of primary Leakage Resistance and Resistance of primary winding in the secondary is calculated using Transformation Ratio = sqrt(Resistance of Secondary/(Equivalent Resistance from Primary-Resistance of Primary)). To calculate Transformation Ratio given Equivalent Resistance from Primary Side, you need Resistance of Secondary (R₂), Equivalent Resistance from Primary (R₀₁) & Resistance of Primary (R₁). With our tool, you need to enter the respective value for Resistance of Secondary, Equivalent Resistance from Primary & Resistance of 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 Resistance of Secondary, Equivalent Resistance from Primary & Resistance of Primary. We can use 3 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((Equivalent Resistance from Secondary-Resistance of Secondary)/Resistance of Primary)
Transformation Ratio = sqrt((Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Primary Leakage Reactance)

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