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Impedance of Primary Winding Formula

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The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have. Check FAQs

Z 1 = \sqrt{{R 1}^{2} + {X L1}^{2}}

Z₁ - Impedance of Primary?R₁ - Resistance of Primary?X_L1 - Primary Leakage Reactance?

Impedance of Primary Winding Example

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Here is how the Impedance of Primary Winding equation looks like with Values.

Here is how the Impedance of Primary Winding equation looks like with Units.

Here is how the Impedance of Primary Winding equation looks like.

18.0015 = \sqrt{{17.98}^{2} + {0.88}^{2}}

18.0015Ω = \sqrt{{17.98Ω}^{2} + {0.88Ω}^{2}}

18.0015 = \sqrt{{17.98}^{2} + {0.88}^{2}}

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Impedance of Primary Winding Solution

Follow our step by step solution on how to calculate Impedance of Primary Winding?

FIRST Step Consider the formula

Z 1 = \sqrt{{R 1}^{2} + {X L1}^{2}}

Next Step Substitute values of Variables

∴

Z 1 = \sqrt{{17.98Ω}^{2} + {0.88Ω}^{2}}

Next Step Prepare to Evaluate

∴

Z 1 = \sqrt{{17.98}^{2} + {0.88}^{2}}

Next Step Evaluate

∴

Z 1 = 18.0015221578621Ω

LAST Step Rounding Answer

∴

Z 1 = 18.0015Ω

Impedance of Primary Winding Formula Elements

Variables

Functions

Impedance of Primary

The Impedance of Primary Winding is the impedance you anticipate the device connected to the transformer primary side to have.

Symbol: Z₁

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Impedance of Primary

Resistance of Primary

Resistance of Primary Winding is the resistance of primary winding.

Symbol: R₁

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance of Primary

Primary Leakage Reactance

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.

Symbol: X_L1

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Primary Leakage Reactance

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.

Syntax: sqrt(Number)

Other formulas in Impedance category

Go Equivalent Reactance of Transformer from Primary Side

X 01 = X L1 + X' 2

Go Equivalent Reactance of Transformer from Secondary Side

X 02 = X L2 + X' 1

Go Primary Leakage Reactance

X L1 = \frac{X' 1}{K^{2}}

Go Reactance of Primary Winding in Secondary

X' 1 = X L1 \cdot K^{2}

How to Evaluate Impedance of Primary Winding?

Impedance of Primary Winding evaluator uses Impedance of Primary = sqrt(Resistance of Primary^2+Primary Leakage Reactance^2) to evaluate 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 evaluate Impedance of Primary Winding using this online evaluator? To use this online evaluator for Impedance of Primary Winding, enter Resistance of Primary (R₁) & Primary Leakage Reactance (X_L1) and hit the calculate button.

FAQs on Impedance of Primary Winding

What is the formula to find Impedance of Primary Winding?

The formula of Impedance of Primary Winding is expressed as Impedance of Primary = sqrt(Resistance of Primary^2+Primary Leakage Reactance^2). Here is an example- 18.00152 = sqrt(17.98^2+0.88^2).

How to calculate Impedance of Primary Winding?

With Resistance of Primary (R₁) & Primary Leakage Reactance (X_L1) we can find Impedance of Primary Winding using the formula - Impedance of Primary = sqrt(Resistance of Primary^2+Primary Leakage Reactance^2). This formula also uses Square Root (sqrt) function(s).

Can the Impedance of Primary Winding be negative?

Yes, the Impedance of Primary Winding, measured in Electric Resistance can be negative.

Which unit is used to measure Impedance of Primary Winding?

Impedance of Primary Winding is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Impedance of Primary Winding can be measured.

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Impedance of Primary Winding Formula

Impedance of Primary Winding Example

Impedance of Primary Winding Solution

Impedance of Primary Winding Formula Elements

Other formulas in Impedance category

How to Evaluate Impedance of Primary Winding?

FAQs on Impedance of Primary Winding

Variable Name