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Area of Core given EMF Induced in Primary Winding Formula

GoArea of Core given EMF Induced in Secondary Winding Formula

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

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

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

Area of Core given EMF Induced in Primary Winding Example

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Here is how the Area of Core given EMF Induced in Primary Winding equation looks like with Values.

Here is how the Area of Core given EMF Induced in Primary Winding equation looks like with Units.

Here is how the Area of Core given EMF Induced in Primary Winding equation looks like.

2477.4775 = \frac{13.2}{4.44 \cdot 500 \cdot 20 \cdot 0.0012}

2477.4775cm² = \frac{13.2V}{4.44 \cdot 500Hz \cdot 20 \cdot 0.0012T}

2477.4775 = \frac{13.2}{4.44 \cdot 500 \cdot 20 \cdot 0.0012}

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Area of Core given EMF Induced in Primary Winding Solution

Follow our step by step solution on how to calculate Area of Core given EMF Induced in Primary Winding?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A core = \frac{13.2V}{4.44 \cdot 500Hz \cdot 20 \cdot 0.0012T}

Next Step Prepare to Evaluate

∴

A core = \frac{13.2}{4.44 \cdot 500 \cdot 20 \cdot 0.0012}

Next Step Evaluate

∴

A core = 0.247747747747748m²

Next Step Convert to Output's Unit

∴

A core = 2477.47747747748cm²

LAST Step Rounding Answer

∴

A core = 2477.4775cm²

Area of Core given EMF Induced in Primary Winding Formula Elements

Variables

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

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

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

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 Area of Core

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}

Other formulas in Transformer Design category

Go Number of Turns in Primary Winding

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

Go Number of Turns in Secondary Winding

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

Go Number of Turns in Primary Winding given Transformation Ratio

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

Go Number of Turns in Secondary Winding given Transformation Ratio

N 2 = N 1 \cdot K

How to Evaluate Area of Core given EMF Induced in Primary Winding?

Area of Core given EMF Induced in Primary Winding evaluator uses Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density) to evaluate the Area of Core, Area of Core given EMF Induced in Primary Winding formula is defined as the amount of two-dimensional space taken up by an object. The magnitude of this induced emf can be found by using the following EMF equation of the transformer. Area of Core is denoted by A_core symbol.

How to evaluate Area of Core given EMF Induced in Primary Winding using this online evaluator? To use this online evaluator for Area of Core given EMF Induced in Primary Winding, enter EMF Induced in Primary (E₁), Supply Frequency (f), Number of Turns in Primary (N₁) & Maximum Flux Density (B_max) and hit the calculate button.

FAQs on Area of Core given EMF Induced in Primary Winding

What is the formula to find Area of Core given EMF Induced in Primary Winding?

The formula of Area of Core given EMF Induced in Primary Winding is expressed as Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density). Here is an example- 2.5E+7 = 13.2/(4.44*500*20*0.0012).

How to calculate Area of Core given EMF Induced in Primary Winding?

With EMF Induced in Primary (E₁), Supply Frequency (f), Number of Turns in Primary (N₁) & Maximum Flux Density (B_max) we can find Area of Core given EMF Induced in Primary Winding using the formula - Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density).

What are the other ways to Calculate Area of Core?

Here are the different ways to Calculate Area of Core-

Area of Core=EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary*Maximum Flux Density)

Can the Area of Core given EMF Induced in Primary Winding be negative?

No, the Area of Core given EMF Induced in Primary Winding, measured in Area cannot be negative.

Which unit is used to measure Area of Core given EMF Induced in Primary Winding?

Area of Core given EMF Induced in Primary Winding is usually measured using the Square Centimeter[cm²] for Area. Square Meter[cm²], Square Kilometer[cm²], Square Millimeter[cm²] are the few other units in which Area of Core given EMF Induced in Primary Winding can be measured.

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Area of Core given EMF Induced in Primary Winding Formula

​GoArea of Core given EMF Induced in Secondary Winding Formula

Area of Core given EMF Induced in Primary Winding Example

Area of Core given EMF Induced in Primary Winding Solution

Area of Core given EMF Induced in Primary Winding Formula Elements

Other Formulas to find Area of Core

Other formulas in Transformer Design category

How to Evaluate Area of Core given EMF Induced in Primary Winding?

FAQs on Area of Core given EMF Induced in Primary Winding

Variable Name

GoArea of Core given EMF Induced in Secondary Winding Formula