Equivalent Reactance from Primary Side given Equivalent Impedance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Equivalent Reactance from Primary = sqrt(Equivalent Impedance from Primary^2-Equivalent Resistance from Primary^2)
X01 = sqrt(Z01^2-R01^2)
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 Reactance from Primary - (Measured in Ohm) - The Equivalent Reactance from Primary side is the total Reactance of the primary side.
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.
STEP 1: Convert Input(s) to Base Unit
Equivalent Impedance from Primary: 36 Ohm --> 36 Ohm No Conversion Required
Equivalent Resistance from Primary: 35.97 Ohm --> 35.97 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
X01 = sqrt(Z01^2-R01^2) --> sqrt(36^2-35.97^2)
Evaluating ... ...
X01 = 1.46938762755104
STEP 3: Convert Result to Output's Unit
1.46938762755104 Ohm --> No Conversion Required
FINAL ANSWER
1.46938762755104 1.469388 Ohm <-- Equivalent Reactance from Primary
(Calculation completed in 00.020 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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16 Reactance Calculators

Secondary Leakage Reactance given Equivalent Reactance from Primary Side
Go Reactance of Secondary in Primary = (Equivalent Reactance from Primary-Primary Leakage Reactance)*Transformation Ratio^2
Equivalent Reactance from Secondary Side given Equivalent Impedance
Go Equivalent Reactance from Secondary = sqrt(Equivalent Impedance from Secondary^2-Equivalent Resistance from Secondary^2)
Primary Leakage Reactance given Equivalent Reactance from Secondary Side
Go Primary Leakage Reactance = (Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Transformation Ratio^2
Secondary Leakage Reactance given Equivalent Reactance from Secondary Side
Go Secondary Leakage Reactance = Equivalent Reactance from Secondary-Primary Leakage Reactance*Transformation Ratio^2
Equivalent Reactance from Primary Side given Equivalent Impedance
Go Equivalent Reactance from Primary = sqrt(Equivalent Impedance from Primary^2-Equivalent Resistance from Primary^2)
Secondary Leakage Reactance given Impedance of Secondary Winding
Go Secondary Leakage Reactance = sqrt(Impedance of Secondary^2-Resistance of Secondary^2)
Primary Leakage Reactance given Impedance of Primary Winding
Go Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2)
Reactance of Primary in Secondary using Equivalent Reactance from Secondary Side
Go Reactance of Primary in Secondary = Equivalent Reactance from Secondary-Secondary Leakage Reactance
Equivalent Reactance of Transformer from Secondary Side
Go Equivalent Reactance from Secondary = Secondary Leakage Reactance+Reactance of Primary in Secondary
Reactance of Secondary in Primary using Equivalent Reactance from Primary Side
Go Reactance of Secondary in Primary = Equivalent Reactance from Primary-Primary Leakage Reactance
Primary Leakage Reactance using Equivalent Reactance from Primary Side
Go Primary Leakage Reactance = Equivalent Reactance from Primary-Reactance of Secondary in Primary
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
Secondary Leakage Reactance
Go Secondary Leakage Reactance = Self Induced EMF in Secondary/Secondary Current

Equivalent Reactance from Primary Side given Equivalent Impedance Formula

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

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 Reactance from Primary Side given Equivalent Impedance?

Equivalent Reactance from Primary Side given Equivalent Impedance calculator uses Equivalent Reactance from Primary = sqrt(Equivalent Impedance from Primary^2-Equivalent Resistance from Primary^2) to calculate the Equivalent Reactance from Primary, The Equivalent Reactance from Primary Side given Equivalent Impedance formula is defined as the sum of Reactance of Secondary winding in primary and primary winding reactance. Equivalent Reactance from Primary is denoted by X01 symbol.

How to calculate Equivalent Reactance from Primary Side given Equivalent Impedance using this online calculator? To use this online calculator for Equivalent Reactance from Primary Side given Equivalent Impedance, enter Equivalent Impedance from Primary (Z01) & Equivalent Resistance from Primary (R01) and hit the calculate button. Here is how the Equivalent Reactance from Primary Side given Equivalent Impedance calculation can be explained with given input values -> 1.469388 = sqrt(36^2-35.97^2).

FAQ

What is Equivalent Reactance from Primary Side given Equivalent Impedance?
The Equivalent Reactance from Primary Side given Equivalent Impedance formula is defined as the sum of Reactance of Secondary winding in primary and primary winding reactance and is represented as X01 = sqrt(Z01^2-R01^2) or Equivalent Reactance from Primary = sqrt(Equivalent Impedance from Primary^2-Equivalent Resistance from Primary^2). The Equivalent Impedance from Primary side is the total Impedance of the primary side & The Equivalent Resistance from Primary side is the total resistance of the primary side.
How to calculate Equivalent Reactance from Primary Side given Equivalent Impedance?
The Equivalent Reactance from Primary Side given Equivalent Impedance formula is defined as the sum of Reactance of Secondary winding in primary and primary winding reactance is calculated using Equivalent Reactance from Primary = sqrt(Equivalent Impedance from Primary^2-Equivalent Resistance from Primary^2). To calculate Equivalent Reactance from Primary Side given Equivalent Impedance, you need Equivalent Impedance from Primary (Z01) & Equivalent Resistance from Primary (R01). With our tool, you need to enter the respective value for Equivalent Impedance from Primary & Equivalent Resistance from Primary 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 Equivalent Reactance from Primary?
In this formula, Equivalent Reactance from Primary uses Equivalent Impedance from Primary & Equivalent Resistance from Primary. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Equivalent Reactance from Primary = Primary Leakage Reactance+Reactance of Secondary in Primary
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