Primary Winding Resistance Calculator

✖Resistance of Primary in Secondary is the Resistance of Primary winding in Secondary.ⓘ Resistance of Primary in Secondary [R'₁]			+10% -10%
✖The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.ⓘ Transformation Ratio [K]			+10% -10%

✖Resistance of Primary Winding is the resistance of primary winding.ⓘ Primary Winding Resistance [R₁]

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Formula

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Primary Winding Resistance

Formula

`"R"_{"1"} = "R'"_{"1"}/("K"^2)`

Example

`"17.97917Ω"="25.89Ω"/(("1.2")^2)`

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Primary Winding Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2)
R₁ = R'₁/(K^2)
This formula uses 3 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Resistance of Primary in Secondary: 25.89 Ohm --> 25.89 Ohm No Conversion Required
Transformation Ratio: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₁ = R'₁/(K^2) --> 25.89/(1.2^2)

Evaluating ... ...

R₁ = 17.9791666666667

STEP 3: Convert Result to Output's Unit

17.9791666666667 Ohm --> No Conversion Required

FINAL ANSWER

17.9791666666667 ≈ 17.97917 Ohm <-- Resistance of Primary

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has verified this Calculator and 50+ more calculators!

< 18 Resistance Calculators

Equivalent Resistance from Secondary Side using Equivalent Impedance from Secondary Side

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

Equivalent Resistance from Primary Side using Equivalent Impedance from Primary Side

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

Primary Winding Resistance given Secondary Winding Resistance

Go Resistance of Primary = (Equivalent Resistance from Secondary-Resistance of Secondary)/(Transformation Ratio^2)

Secondary Winding Resistance given Equivalent Resistance from Primary Side

Go Resistance of Secondary = (Equivalent Resistance from Primary-Resistance of Primary)*Transformation Ratio^2

Secondary Winding Resistance given Primary Winding Resistance

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

Secondary Winding Resistance given Impedance of Secondary Winding

Go Resistance of Secondary = sqrt(Impedance of Secondary^2-Secondary Leakage Reactance^2)

Primary Winding Resistance given Impedance of Primary Winding

Go Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2)

Resistance of Primary in Secondary using Equivalent Resistance from Secondary Side

Go Resistance of Primary in Secondary = Equivalent Resistance from Secondary-Resistance of Secondary in Primary

Equivalent Resistance of Transformer from Secondary Side

Go Equivalent Resistance from Secondary = Resistance of Primary in Secondary+Resistance of Secondary

Resistance of Secondary in Primary using Equivalent Resistance from Primary Side

Go Resistance of Secondary in Primary = Equivalent Resistance from Primary-Resistance of Primary

Equivalent Resistance of Transformer from Primary Side

Go Equivalent Resistance from Primary = Resistance of Secondary in Primary+Resistance of Primary

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

< 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

Primary Winding Resistance Formula

Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2)
R₁ = R'₁/(K^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 Primary Winding Resistance?

Primary Winding Resistance calculator uses Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2) to calculate the Resistance of Primary, The Primary Winding Resistance formula is defined as the resistance of primary windings. its SI unit is ohms. It is useful for finding Resistance to the primary winding in the secondary winding. Resistance of Primary is denoted by R₁ symbol.

How to calculate Primary Winding Resistance using this online calculator? To use this online calculator for Primary Winding Resistance, enter Resistance of Primary in Secondary (R'₁) & Transformation Ratio (K) and hit the calculate button. Here is how the Primary Winding Resistance calculation can be explained with given input values -> 17.97917 = 25.89/(1.2^2).

FAQ

What is Primary Winding Resistance?

The Primary Winding Resistance formula is defined as the resistance of primary windings. its SI unit is ohms. It is useful for finding Resistance to the primary winding in the secondary winding and is represented as R₁ = R'₁/(K^2) or Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2). Resistance of Primary in Secondary is the Resistance of Primary winding in Secondary & The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.

How to calculate Primary Winding Resistance?

The Primary Winding Resistance formula is defined as the resistance of primary windings. its SI unit is ohms. It is useful for finding Resistance to the primary winding in the secondary winding is calculated using Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2). To calculate Primary Winding Resistance, you need Resistance of Primary in Secondary (R'₁) & Transformation Ratio (K). With our tool, you need to enter the respective value for Resistance of Primary in Secondary & Transformation Ratio 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 Resistance of Primary?

In this formula, Resistance of Primary uses Resistance of Primary in Secondary & Transformation Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -

Resistance of Primary = (Equivalent Resistance from Secondary-Resistance of Secondary)/(Transformation Ratio^2)
Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2)

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