Primary Winding Resistance given Secondary Winding Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance of Primary = (Equivalent Resistance from Secondary-Resistance of Secondary)/(Transformation Ratio^2)
R1 = (R02-R2)/(K^2)
This formula uses 4 Variables
Variables Used
Resistance of Primary - (Measured in Ohm) - Resistance of Primary Winding is the resistance of primary winding.
Equivalent Resistance from Secondary - (Measured in Ohm) - Equivalent resistance from Secondary side is the total secondary side resistance.
Resistance of Secondary - (Measured in Ohm) - Resistance of Secondary Winding is the resistance of secondary winding.
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
Equivalent Resistance from Secondary: 51.79 Ohm --> 51.79 Ohm No Conversion Required
Resistance of Secondary: 25.9 Ohm --> 25.9 Ohm No Conversion Required
Transformation Ratio: 1.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R1 = (R02-R2)/(K^2) --> (51.79-25.9)/(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
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National Institute of Technology (NIT), Jamshedpur
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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

Primary Winding Resistance given Secondary Winding Resistance Formula

Resistance of Primary = (Equivalent Resistance from Secondary-Resistance of Secondary)/(Transformation Ratio^2)
R1 = (R02-R2)/(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 given Secondary Winding Resistance?

Primary Winding Resistance given Secondary Winding Resistance calculator uses Resistance of Primary = (Equivalent Resistance from Secondary-Resistance of Secondary)/(Transformation Ratio^2) to calculate the Resistance of Primary, The Primary Winding Resistance given Secondary Winding Resistance formula is defined as the resistance of the primary winding. Resistance of Primary is denoted by R1 symbol.

How to calculate Primary Winding Resistance given Secondary Winding Resistance using this online calculator? To use this online calculator for Primary Winding Resistance given Secondary Winding Resistance, enter Equivalent Resistance from Secondary (R02), Resistance of Secondary (R2) & Transformation Ratio (K) and hit the calculate button. Here is how the Primary Winding Resistance given Secondary Winding Resistance calculation can be explained with given input values -> 17.97917 = (51.79-25.9)/(1.2^2).

FAQ

What is Primary Winding Resistance given Secondary Winding Resistance?
The Primary Winding Resistance given Secondary Winding Resistance formula is defined as the resistance of the primary winding and is represented as R1 = (R02-R2)/(K^2) or Resistance of Primary = (Equivalent Resistance from Secondary-Resistance of Secondary)/(Transformation Ratio^2). Equivalent resistance from Secondary side is the total secondary side resistance, Resistance of Secondary Winding is the resistance of secondary winding & The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.
How to calculate Primary Winding Resistance given Secondary Winding Resistance?
The Primary Winding Resistance given Secondary Winding Resistance formula is defined as the resistance of the primary winding is calculated using Resistance of Primary = (Equivalent Resistance from Secondary-Resistance of Secondary)/(Transformation Ratio^2). To calculate Primary Winding Resistance given Secondary Winding Resistance, you need Equivalent Resistance from Secondary (R02), Resistance of Secondary (R2) & Transformation Ratio (K). With our tool, you need to enter the respective value for Equivalent Resistance from Secondary, Resistance of 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 Equivalent Resistance from Secondary, Resistance of Secondary & Transformation Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2)
  • Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2)
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