Primary Winding Resistance given Impedance of Primary Winding Calculator

✖The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have.ⓘ Impedance of Primary [Z₁]			+10% -10%
✖Primary leakage reactance of a transformer arises from the fact that all the flux produced by one winding does not link with the other winding.ⓘ Primary Leakage Reactance [X_L1]			+10% -10%

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

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Primary Winding Resistance given Impedance of Primary Winding Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2)
R₁ = sqrt(Z₁^2-X_L1^2)
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

Resistance of Primary - (Measured in Ohm) - Resistance of Primary Winding is the resistance of primary winding.
Impedance of Primary - (Measured in Ohm) - The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have.
Primary Leakage Reactance - (Measured in Ohm) - Primary leakage reactance of a transformer arises from the fact that all the flux produced by one winding does not link with the other winding.

STEP 1: Convert Input(s) to Base Unit

Impedance of Primary: 18 Ohm --> 18 Ohm No Conversion Required
Primary Leakage Reactance: 0.88 Ohm --> 0.88 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₁ = sqrt(Z₁^2-X_L1^2) --> sqrt(18^2-0.88^2)

Evaluating ... ...

R₁ = 17.9784760199523

STEP 3: Convert Result to Output's Unit

17.9784760199523 Ohm --> No Conversion Required

FINAL ANSWER

17.9784760199523 ≈ 17.97848 Ohm <-- Resistance of Primary

(Calculation completed in 00.020 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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Primary Winding Resistance given Impedance of Primary Winding Formula

LaTeX Go

Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2)
R₁ = sqrt(Z₁^2-X_L1^2)

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 Impedance of Primary Winding?

Primary Winding Resistance given Impedance of Primary Winding calculator uses Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2) to calculate the Resistance of Primary, The Primary Winding Resistance given Impedance of Primary Winding 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 Impedance of Primary Winding using this online calculator? To use this online calculator for Primary Winding Resistance given Impedance of Primary Winding, enter Impedance of Primary (Z₁) & Primary Leakage Reactance (X_L1) and hit the calculate button. Here is how the Primary Winding Resistance given Impedance of Primary Winding calculation can be explained with given input values -> 17.97848 = sqrt(18^2-0.88^2).

FAQ

What is Primary Winding Resistance given Impedance of Primary Winding?

The Primary Winding Resistance given Impedance of Primary Winding formula is defined as the resistance of the primary winding and is represented as R₁ = sqrt(Z₁^2-X_L1^2) or Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2). The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have & Primary leakage reactance of a transformer arises from the fact that all the flux produced by one winding does not link with the other winding.

How to calculate Primary Winding Resistance given Impedance of Primary Winding?

The Primary Winding Resistance given Impedance of Primary Winding formula is defined as the resistance of the primary winding is calculated using Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2). To calculate Primary Winding Resistance given Impedance of Primary Winding, you need Impedance of Primary (Z₁) & Primary Leakage Reactance (X_L1). With our tool, you need to enter the respective value for Impedance of Primary & Primary Leakage Reactance 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 Impedance of Primary & Primary Leakage Reactance. 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 = Resistance of Primary in Secondary/(Transformation Ratio^2)

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