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Primary Winding Resistance given Impedance of Primary Winding Formula

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Resistance of Primary Winding is the resistance of primary winding. Check FAQs

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

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

Primary Winding Resistance given Impedance of Primary Winding Example

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

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

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

17.9785 = \sqrt{18^{2} - {0.88}^{2}}

17.9785Ω = \sqrt{{18Ω}^{2} - {0.88Ω}^{2}}

17.9785 = \sqrt{18^{2} - {0.88}^{2}}

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Primary Winding Resistance given Impedance of Primary Winding Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R 1 = \sqrt{{18Ω}^{2} - {0.88Ω}^{2}}

Next Step Prepare to Evaluate

∴

R 1 = \sqrt{18^{2} - {0.88}^{2}}

Next Step Evaluate

∴

R 1 = 17.9784760199523Ω

LAST Step Rounding Answer

∴

R 1 = 17.9785Ω

Primary Winding Resistance given Impedance of Primary Winding Formula Elements

Variables

Functions

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

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

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 Resistance category

Go Area of Core given EMF Induced in Primary Winding

A core = \frac{E 1}{4.44 \cdot f \cdot N 1 \cdot B max}

Go Area of Core given EMF Induced in Secondary Winding

A core = \frac{E 2}{4.44 \cdot f \cdot N 2 \cdot B max}

Go Maximum Core Flux

Φ max = B max \cdot A core

Go Maximum Flux in Core using Primary Winding

Φ max = \frac{E 1}{4.44 \cdot f \cdot N 1}

How to Evaluate Primary Winding Resistance given Impedance of Primary Winding?

Primary Winding Resistance given Impedance of Primary Winding evaluator uses Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2) to evaluate the Resistance of Primary, The Primary Winding Resistance given Impedance of Primary Winding formula is defined as the resistance of the primary winding. Resistance of Primary is denoted by R₁ symbol.

How to evaluate Primary Winding Resistance given Impedance of Primary Winding using this online evaluator? To use this online evaluator for Primary Winding Resistance given Impedance of Primary Winding, enter Impedance of Primary (Z₁) & Primary Leakage Reactance (X_L1) and hit the calculate button.

FAQs on Primary Winding Resistance given Impedance of Primary Winding

What is the formula to find Primary Winding Resistance given Impedance of Primary Winding?

The formula of Primary Winding Resistance given Impedance of Primary Winding is expressed as Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2). Here is an example- 17.97848 = sqrt(18^2-0.88^2).

How to calculate Primary Winding Resistance given Impedance of Primary Winding?

With Impedance of Primary (Z₁) & Primary Leakage Reactance (X_L1) we can find Primary Winding Resistance given Impedance of Primary Winding using the formula - Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2). This formula also uses Square Root (sqrt) function(s).

Can the Primary Winding Resistance given Impedance of Primary Winding be negative?

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

Which unit is used to measure Primary Winding Resistance given Impedance of Primary Winding?

Primary Winding Resistance given 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 Primary Winding Resistance given Impedance of Primary Winding can be measured.

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Primary Winding Resistance given Impedance of Primary Winding Formula

Primary Winding Resistance given Impedance of Primary Winding Example

Primary Winding Resistance given Impedance of Primary Winding Solution

Primary Winding Resistance given Impedance of Primary Winding Formula Elements

Other formulas in Resistance category

How to Evaluate Primary Winding Resistance given Impedance of Primary Winding?

FAQs on Primary Winding Resistance given Impedance of Primary Winding

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