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+XL1^2)
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+XL1^2) --> 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)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Verified by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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6 Impedance Calculators

Equivalent Impedance of Transformer from Secondary Side
Go Equivalent Impedance from Secondary = sqrt(Equivalent Resistance from Secondary^2+Equivalent Reactance from Secondary^2)
Equivalent Impedance of Transformer from Primary Side
Go Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2)
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

25 Transformer Circuit Calculators

EMF Induced in Secondary Winding
Go EMF Induced in Secondary = 4.44*Number of Turns in Secondary*Supply Frequency*Area of Core*Maximum Flux Density
EMF Induced in Primary Winding
Go EMF Induced in Primary = 4.44*Number of Turns in Primary*Supply Frequency*Area of Core*Maximum Flux Density
Equivalent Impedance of Transformer from Secondary Side
Go Equivalent Impedance from Secondary = sqrt(Equivalent Resistance from Secondary^2+Equivalent Reactance from Secondary^2)
Equivalent Impedance of Transformer from Primary Side
Go Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^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
Terminal Voltage during No Load
Go No Load Terminal Voltage = (Primary Voltage* Number of Turns in Secondary)/Number of Turns in Primary
Transformation Ratio given Secondary Leakage Reactance
Go Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)
Transformation Ratio given Primary Leakage Reactance
Go Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)
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
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
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
Transformation Ratio given Primary and Secondary Number of Turns
Go Transformation Ratio = Number of Turns in Secondary/Number of Turns in Primary
Secondary Leakage Reactance
Go Secondary Leakage Reactance = Self Induced EMF in Secondary/Secondary Current
Transformation Ratio given Primary and Secondary Current
Go Transformation Ratio = Primary Current/Secondary Current
Transformation Ratio given Primary and Secondary Voltage
Go Transformation Ratio = Secondary Voltage/Primary Voltage
Secondary Voltage given Voltage Transformation Ratio
Go Secondary Voltage = Primary Voltage*Transformation Ratio
Primary Voltage given Voltage Transformation Ratio
Go Primary Voltage = Secondary Voltage/Transformation Ratio

Impedance of Primary Winding Formula

Impedance of Primary = sqrt(Resistance of Primary^2+Primary Leakage Reactance^2)
Z1 = sqrt(R1^2+XL1^2)

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 (XL1) 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+XL1^2) 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 (XL1). 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
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