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Number of Turns in Primary Winding Formula

GoNumber of Turns in Primary Winding given Transformation Ratio Formula

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The Number of Turns in Primary Winding is the number of turns primary winding is the winding of a transformer. Check FAQs

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

N₁ - Number of Turns in Primary?E₁ - EMF Induced in Primary?f - Supply Frequency?A_core - Area of Core?B_max - Maximum Flux Density?

Number of Turns in Primary Winding Example

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Here is how the Number of Turns in Primary Winding equation looks like with Values.

Here is how the Number of Turns in Primary Winding equation looks like with Units.

Here is how the Number of Turns in Primary Winding equation looks like.

20 = \frac{13}{4.44 \cdot 500 \cdot 2500 \cdot 0}

20 = \frac{13V}{4.44 \cdot 500Hz \cdot 2500cm² \cdot 0T}

20 = \frac{13}{4.44 \cdot 500 \cdot 2500 \cdot 0}

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Number of Turns in Primary Winding Solution

Follow our step by step solution on how to calculate Number of Turns in Primary Winding?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N 1 = \frac{13V}{4.44 \cdot 500Hz \cdot 2500cm² \cdot 0T}

Next Step Convert Units

∴

N 1 = \frac{13V}{4.44 \cdot 500Hz \cdot 0m² \cdot 0T}

Next Step Prepare to Evaluate

∴

N 1 = \frac{13}{4.44 \cdot 500 \cdot 0 \cdot 0}

Next Step Evaluate

∴

N 1 = 19.8198198198198

LAST Step Rounding Answer

∴

N 1 = 20

Number of Turns in Primary Winding Formula Elements

Variables

Number of Turns in Primary

The Number of Turns in Primary Winding is the number of turns primary winding is the winding of a transformer.

Symbol: N₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Turns in Primary

EMF Induced in Primary

EMF Induced in Primary Winding is the production of voltage in a coil because of the change in magnetic flux through a coil.

Symbol: E₁

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find EMF Induced in Primary

Supply Frequency

Supply Frequency means Induction motors are designed for a specific voltage per frequency ratio (V/Hz). The voltage is called the supply voltage and the frequency is called the 'Supply Frequency'.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Supply Frequency

Area of Core

Area of Core is defined as the space occupied by the core of a transformer in 2 dimensional space.

Symbol: A_core

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Area of Core

Maximum Flux Density

Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.

Symbol: B_max

Measurement: Magnetic Flux DensityUnit: T

Note: Value should be greater than 0.

Formulas to find Maximum Flux Density

Other Formulas to find Number of Turns in Primary

Go Number of Turns in Primary Winding given Transformation Ratio

N 1 = \frac{N 2}{K}

Other formulas in Transformer Design category

Go Number of Turns in Secondary Winding

N 2 = \frac{E 2}{4.44 \cdot f \cdot A core \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 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 Number of Turns in Secondary Winding given Transformation Ratio

N 2 = N 1 \cdot K

How to Evaluate Number of Turns in Primary Winding?

Number of Turns in Primary Winding evaluator uses Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density) to evaluate the Number of Turns in Primary, The Number of Turns in Primary Winding formula is defined as the total number of turns which is in the primary winding. The magnitude of this induced emf can be found by using the following EMF equation of the transformer. Number of Turns in Primary is denoted by N₁ symbol.

How to evaluate Number of Turns in Primary Winding using this online evaluator? To use this online evaluator for Number of Turns in Primary Winding, enter EMF Induced in Primary (E₁), Supply Frequency (f), Area of Core (A_core) & Maximum Flux Density (B_max) and hit the calculate button.

FAQs on Number of Turns in Primary Winding

What is the formula to find Number of Turns in Primary Winding?

The formula of Number of Turns in Primary Winding is expressed as Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density). Here is an example- 20 = 13.2/(4.44*500*0.25*0.0012).

How to calculate Number of Turns in Primary Winding?

With EMF Induced in Primary (E₁), Supply Frequency (f), Area of Core (A_core) & Maximum Flux Density (B_max) we can find Number of Turns in Primary Winding using the formula - Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density).

What are the other ways to Calculate Number of Turns in Primary?

Here are the different ways to Calculate Number of Turns in Primary-

Number of Turns in Primary=Number of Turns in Secondary/Transformation Ratio

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Number of Turns in Primary Winding Formula

​GoNumber of Turns in Primary Winding given Transformation Ratio Formula

Number of Turns in Primary Winding Example

Number of Turns in Primary Winding Solution

Number of Turns in Primary Winding Formula Elements

Other Formulas to find Number of Turns in Primary

Other formulas in Transformer Design category

How to Evaluate Number of Turns in Primary Winding?

FAQs on Number of Turns in Primary Winding

Variable Name

GoNumber of Turns in Primary Winding given Transformation Ratio Formula