Flux Density in Toroidal Core Calculator

✖Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation.ⓘ Relative Permeability [μ_r]			+10% -10%
✖Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer.ⓘ Secondary Turns of Coil [N₂]			+10% -10%
✖Coil Current is defined as the flow of electrons through a conductor which is made into a coil by turning it around.ⓘ Coil Current [i_coil]			+10% -10%
✖Coil Inner Diameter is defined as the distance the separates the entire circumference of the coil within itself.ⓘ Coil Inner Diameter [D_in]			+10% -10%

✖Magnetic flux density is equal to the magnetic field strength times the absolute permeability of the region where the field exists. Magnetic flux density formula, B=μH.ⓘ Flux Density in Toroidal Core [B]

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Flux Density in Toroidal Core Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Coil Current)/(pi*Coil Inner Diameter)
B = (μ_r*N₂*i_coil)/(pi*D_in)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Magnetic Flux Density - (Measured in Tesla) - Magnetic flux density is equal to the magnetic field strength times the absolute permeability of the region where the field exists. Magnetic flux density formula, B=μH.
Relative Permeability - (Measured in Henry per Meter) - Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation.
Secondary Turns of Coil - Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer.
Coil Current - (Measured in Ampere) - Coil Current is defined as the flow of electrons through a conductor which is made into a coil by turning it around.
Coil Inner Diameter - (Measured in Meter) - Coil Inner Diameter is defined as the distance the separates the entire circumference of the coil within itself.

STEP 1: Convert Input(s) to Base Unit

Relative Permeability: 1.9 Henry per Meter --> 1.9 Henry per Meter No Conversion Required
Secondary Turns of Coil: 18 --> No Conversion Required
Coil Current: 0.012 Ampere --> 0.012 Ampere No Conversion Required
Coil Inner Diameter: 570 Millimeter --> 0.57 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (μ_r*N₂*i_coil)/(pi*D_in) --> (1.9*18*0.012)/(pi*0.57)

Evaluating ... ...

B = 0.229183118052329

STEP 3: Convert Result to Output's Unit

0.229183118052329 Tesla --> No Conversion Required

FINAL ANSWER

0.229183118052329 ≈ 0.229183 Tesla <-- Magnetic Flux Density

(Calculation completed in 00.007 seconds)

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Created by Parminder Singh

Chandigarh University (CU), Punjab

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Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< Magnetic Specifications Calculators

Reluctance

LaTeX Go Reluctance = Mean Length/(Magnetic Permeability of a Medium*Area of Coil)

Magnetic Flux Density using Magnetic Field Intensity

LaTeX Go Magnetic Flux Density = Magnetic Permeability of a Medium*Magnetic Field Intensity

Intensity of Magnetization

LaTeX Go Intensity of Magnetization = Magnetic Moment/Volume

Magnetic Flux Density

LaTeX Go Magnetic Flux Density = Magnetic Flux/Area of Coil

Flux Density in Toroidal Core Formula

LaTeX Go

Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Coil Current)/(pi*Coil Inner Diameter)
B = (μ_r*N₂*i_coil)/(pi*D_in)

What is a Toroid?

A toroid can be considered as a circular solenoid that is used in an electric circuit, as an inductor at low frequencies when large inductances are required.

The first toroid was invented in 1830 by the physicist Michael Faraday. He noticed that the change in the magnetic field resulted in the voltage in a wire. This phenomenon is known as Faraday’s law of induction.

How to Calculate Flux Density in Toroidal Core?

Flux Density in Toroidal Core calculator uses Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Coil Current)/(pi*Coil Inner Diameter) to calculate the Magnetic Flux Density, The Flux Density in Toroidal Core formula is defined as magnetic field points in the direction of the curled fingers of the right hand when the thumb of the right hand is aligned in the direction of current flow. Magnetic Flux Density is denoted by B symbol.

How to calculate Flux Density in Toroidal Core using this online calculator? To use this online calculator for Flux Density in Toroidal Core, enter Relative Permeability (μ_r), Secondary Turns of Coil (N₂), Coil Current (i_coil) & Coil Inner Diameter (D_in) and hit the calculate button. Here is how the Flux Density in Toroidal Core calculation can be explained with given input values -> 0.229183 = (1.9*18*0.012)/(pi*0.57).

FAQ

What is Flux Density in Toroidal Core?

The Flux Density in Toroidal Core formula is defined as magnetic field points in the direction of the curled fingers of the right hand when the thumb of the right hand is aligned in the direction of current flow and is represented as B = (μ_r*N₂*i_coil)/(pi*D_in) or Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Coil Current)/(pi*Coil Inner Diameter). Relative Permeability is the ratio of effective permeability of a particular fluid at a particular saturation to absolute permeability of that fluid at total saturation, Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer, Coil Current is defined as the flow of electrons through a conductor which is made into a coil by turning it around & Coil Inner Diameter is defined as the distance the separates the entire circumference of the coil within itself.

How to calculate Flux Density in Toroidal Core?

The Flux Density in Toroidal Core formula is defined as magnetic field points in the direction of the curled fingers of the right hand when the thumb of the right hand is aligned in the direction of current flow is calculated using Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Coil Current)/(pi*Coil Inner Diameter). To calculate Flux Density in Toroidal Core, you need Relative Permeability (μ_r), Secondary Turns of Coil (N₂), Coil Current (i_coil) & Coil Inner Diameter (D_in). With our tool, you need to enter the respective value for Relative Permeability, Secondary Turns of Coil, Coil Current & Coil Inner Diameter 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 Magnetic Flux Density?

In this formula, Magnetic Flux Density uses Relative Permeability, Secondary Turns of Coil, Coil Current & Coil Inner Diameter. We can use 2 other way(s) to calculate the same, which is/are as follows -

Magnetic Flux Density = Magnetic Flux/Area of Coil
Magnetic Flux Density = Magnetic Permeability of a Medium*Magnetic Field Intensity

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