Equivalent Impedance of Transformer from Primary Side Calculator

✖The Equivalent Resistance from Primary side is the total resistance of the primary side.ⓘ Equivalent Resistance from Primary [R₀₁]			+10% -10%
✖The Equivalent Reactance from Primary side is the total Reactance of the primary side.ⓘ Equivalent Reactance from Primary [X₀₁]			+10% -10%

✖The Equivalent Impedance from Primary side is the total Impedance of the primary side.ⓘ Equivalent Impedance of Transformer from Primary Side [Z₀₁]

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Formula

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Equivalent Impedance of Transformer from Primary Side

Formula

Z 01 = \sqrt{{R 01}^{2} + {X 01}^{2}}

Example

36.00295 Ω = \sqrt{{35.97 Ω}^{2} + {1.54 Ω}^{2}}

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Equivalent Impedance of Transformer from Primary Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2)
Z₀₁ = sqrt(R₀₁^2+X₀₁^2)
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

Equivalent Impedance from Primary - (Measured in Ohm) - The Equivalent Impedance from Primary side is the total Impedance of the primary side.
Equivalent Resistance from Primary - (Measured in Ohm) - The Equivalent Resistance from Primary side is the total resistance of the primary side.
Equivalent Reactance from Primary - (Measured in Ohm) - The Equivalent Reactance from Primary side is the total Reactance of the primary side.

STEP 1: Convert Input(s) to Base Unit

Equivalent Resistance from Primary: 35.97 Ohm --> 35.97 Ohm No Conversion Required
Equivalent Reactance from Primary: 1.54 Ohm --> 1.54 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₀₁ = sqrt(R₀₁^2+X₀₁^2) --> sqrt(35.97^2+1.54^2)

Evaluating ... ...

Z₀₁ = 36.0029512679169

STEP 3: Convert Result to Output's Unit

36.0029512679169 Ohm --> No Conversion Required

FINAL ANSWER

36.0029512679169 ≈ 36.00295 Ohm <-- Equivalent Impedance from 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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< Impedance Calculators

Impedance of Secondary Winding given Secondary Parameters

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

Impedance of Secondary Winding

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

Impedance of Primary Winding

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

Impedance of Primary Winding given Primary Parameters

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

< Transformer Circuit Calculators

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

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

Equivalent Impedance of Transformer from Primary Side Formula

Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2)
Z₀₁ = sqrt(R₀₁^2+X₀₁^2)

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 Equivalent Impedance of Transformer from Primary Side?

Equivalent Impedance of Transformer from Primary Side calculator uses Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2) to calculate the Equivalent Impedance from Primary, The Equivalent Impedance of Transformer from Primary Side formula is defined as sqrt of the sum of the Equivalent reactance of the transformer from the primary side and Equivalent resistance of transformer from the primary side. Equivalent Impedance from Primary is denoted by Z₀₁ symbol.

How to calculate Equivalent Impedance of Transformer from Primary Side using this online calculator? To use this online calculator for Equivalent Impedance of Transformer from Primary Side, enter Equivalent Resistance from Primary (R₀₁) & Equivalent Reactance from Primary (X₀₁) and hit the calculate button. Here is how the Equivalent Impedance of Transformer from Primary Side calculation can be explained with given input values -> 36.00295 = sqrt(35.97^2+1.54^2).

FAQ

What is Equivalent Impedance of Transformer from Primary Side?

The Equivalent Impedance of Transformer from Primary Side formula is defined as sqrt of the sum of the Equivalent reactance of the transformer from the primary side and Equivalent resistance of transformer from the primary side and is represented as Z₀₁ = sqrt(R₀₁^2+X₀₁^2) or Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2). The Equivalent Resistance from Primary side is the total resistance of the primary side & The Equivalent Reactance from Primary side is the total Reactance of the primary side.

How to calculate Equivalent Impedance of Transformer from Primary Side?

The Equivalent Impedance of Transformer from Primary Side formula is defined as sqrt of the sum of the Equivalent reactance of the transformer from the primary side and Equivalent resistance of transformer from the primary side is calculated using Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2). To calculate Equivalent Impedance of Transformer from Primary Side, you need Equivalent Resistance from Primary (R₀₁) & Equivalent Reactance from Primary (X₀₁). With our tool, you need to enter the respective value for Equivalent Resistance from Primary & Equivalent Reactance from Primary and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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