Number of Turns in Primary Winding Calculator

✖EMF Induced in Primary Winding is the production of voltage in a coil because of the change in magnetic flux through a coil.ⓘ EMF Induced in Primary [E₁]			+10% -10%
✖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'.ⓘ Supply Frequency [f]			+10% -10%
✖Area of Core is defined as the space occupied by the core of a transformer in 2 dimensional space.ⓘ Area of Core [A_core]			+10% -10%
✖Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.ⓘ Maximum Flux Density [B_max]			+10% -10%

✖The Number of Turns in Primary Winding is the number of turns primary winding is the winding of a transformer.ⓘ Number of Turns in Primary Winding [N₁]

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Number of Turns in Primary Winding Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)
N₁ = E₁/(4.44*f*A_core*B_max)
This formula uses 5 Variables

Variables Used

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.
EMF Induced in Primary - (Measured in Volt) - EMF Induced in Primary Winding is the production of voltage in a coil because of the change in magnetic flux through a coil.
Supply Frequency - (Measured in Hertz) - 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'.
Area of Core - (Measured in Square Meter) - Area of Core is defined as the space occupied by the core of a transformer in 2 dimensional space.
Maximum Flux Density - (Measured in Tesla) - Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.

STEP 1: Convert Input(s) to Base Unit

EMF Induced in Primary: 13.2 Volt --> 13.2 Volt No Conversion Required
Supply Frequency: 500 Hertz --> 500 Hertz No Conversion Required
Area of Core: 2500 Square Centimeter --> 0.25 Square Meter (Check conversion here)
Maximum Flux Density: 0.0012 Tesla --> 0.0012 Tesla No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N₁ = E₁/(4.44*f*A_core*B_max) --> 13.2/(4.44*500*0.25*0.0012)

Evaluating ... ...

N₁ = 19.8198198198198

STEP 3: Convert Result to Output's Unit

19.8198198198198 --> No Conversion Required

FINAL ANSWER

19.8198198198198 ≈ 20 <-- Number of Turns in Primary

(Calculation completed in 00.008 seconds)

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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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< Transformer Design Calculators

Area of Core given EMF Induced in Secondary Winding

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

Area of Core given EMF Induced in Primary Winding

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

Maximum Flux in Core using Primary Winding

LaTeX Go Maximum Core Flux = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary)

Maximum Core Flux

LaTeX Go Maximum Core Flux = Maximum Flux Density*Area of Core

< Mechanical Specifications Calculators

Area of Core given EMF Induced in Secondary Winding

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

Number of Turns in Secondary Winding

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

Area of Core given EMF Induced in Primary Winding

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

Number of Turns in Primary Winding

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

Number of Turns in Primary Winding Formula

LaTeX Go

Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)
N₁ = E₁/(4.44*f*A_core*B_max)

What is induced EMF?

Alternating flux gets linked with the secondary winding, and because of the phenomenon of mutual induction, an emf gets induced in the secondary winding. The magnitude of this induced emf can be found by using the following EMF equation of the transformer.

How to Calculate Number of Turns in Primary Winding?

Number of Turns in Primary Winding calculator uses Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density) to calculate 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 calculate Number of Turns in Primary Winding using this online calculator? To use this online calculator 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. Here is how the Number of Turns in Primary Winding calculation can be explained with given input values -> 20 = 13.2/(4.44*500*0.25*0.0012).

FAQ

What is Number of Turns in Primary Winding?

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 and is represented as N₁ = E₁/(4.44*f*A_core*B_max) or Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density). EMF Induced in Primary Winding is the production of voltage in a coil because of the change in magnetic flux through a coil, 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', Area of Core is defined as the space occupied by the core of a transformer in 2 dimensional space & Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.

How to calculate Number of Turns in Primary Winding?

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 is calculated using Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density). To calculate Number of Turns in Primary Winding, you need EMF Induced in Primary (E₁), Supply Frequency (f), Area of Core (A_core) & Maximum Flux Density (B_max). With our tool, you need to enter the respective value for EMF Induced in Primary, Supply Frequency, Area of Core & Maximum Flux Density 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 Number of Turns in Primary?

In this formula, Number of Turns in Primary uses EMF Induced in Primary, Supply Frequency, Area of Core & Maximum Flux Density. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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