Impedance of Primary Winding Calculator

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

✖The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have.ⓘ Impedance of Primary Winding [Z₁]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Transformer Formula PDF PDF Image

Impedance of Primary Winding Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Resistance of Primary - (Measured in Ohm) - Resistance of Primary Winding is the resistance of primary winding.
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

Resistance of Primary: 17.98 Ohm --> 17.98 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

Z₁ = sqrt(R₁^2+X_L1^2) --> sqrt(17.98^2+0.88^2)

Evaluating ... ...

Z₁ = 18.0015221578621

STEP 3: Convert Result to Output's Unit

18.0015221578621 Ohm --> No Conversion Required

FINAL ANSWER

18.0015221578621 ≈ 18.00152 Ohm <-- Impedance of Primary

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Machine » AC Machines » Transformer » Impedance » Impedance of Primary Winding

Credits

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!

< Impedance Calculators

Impedance of Secondary Winding given Secondary Parameters

LaTeX Go Impedance of Secondary = (EMF Induced in Secondary-Secondary Voltage)/Secondary Current

Impedance of Secondary Winding

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

Impedance of Primary Winding

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

Impedance of Primary Winding given Primary Parameters

LaTeX Go Impedance of Primary = (Primary Voltage-EMF Induced in Primary)/Primary Current

< Transformer Circuit Calculators

Equivalent Reactance of Transformer from Secondary Side

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

Equivalent Reactance of Transformer from Primary Side

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

Primary Leakage Reactance

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

Reactance of Primary Winding in Secondary

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

Impedance of Primary Winding Formula

LaTeX Go

Impedance of Primary = sqrt(Resistance of Primary^2+Primary Leakage Reactance^2)
Z₁ = sqrt(R₁^2+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 Impedance of Primary Winding?

Impedance of Primary Winding calculator uses Impedance of Primary = sqrt(Resistance of Primary^2+Primary Leakage Reactance^2) to calculate the Impedance of Primary, The Impedance of Primary Winding formula is defined as the effective resistance of the transformer to alternating current, arising from the combined effects of ohmic resistance and reactance. Impedance of Primary is denoted by Z₁ symbol.

How to calculate Impedance of Primary Winding using this online calculator? To use this online calculator for Impedance of Primary Winding, enter Resistance of Primary (R₁) & Primary Leakage Reactance (X_L1) and hit the calculate button. Here is how the Impedance of Primary Winding calculation can be explained with given input values -> 18.00152 = sqrt(17.98^2+0.88^2).

FAQ

What is Impedance of Primary Winding?

The Impedance of Primary Winding formula is defined as the effective resistance of the transformer to alternating current, arising from the combined effects of ohmic resistance and reactance and is represented as Z₁ = sqrt(R₁^2+X_L1^2) or Impedance of Primary = sqrt(Resistance of Primary^2+Primary Leakage Reactance^2). Resistance of Primary Winding is the resistance of primary winding & 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 Impedance of Primary Winding?

The Impedance of Primary Winding formula is defined as the effective resistance of the transformer to alternating current, arising from the combined effects of ohmic resistance and reactance is calculated using Impedance of Primary = sqrt(Resistance of Primary^2+Primary Leakage Reactance^2). To calculate Impedance of Primary Winding, you need Resistance of Primary (R₁) & Primary Leakage Reactance (X_L1). With our tool, you need to enter the respective value for Resistance 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 Impedance of Primary?

In this formula, Impedance of Primary uses Resistance of Primary & Primary Leakage Reactance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Impedance of Primary = (Primary Voltage-EMF Induced in Primary)/Primary Current

Home

FREE PDFs

🔍 Search