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Flux Density in Toroidal Core Formula

GoMagnetic Flux Density Formula

GoMagnetic Flux Density using Magnetic Field Intensity Formula

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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. Check FAQs

B = \frac{μ r \cdot N 2 \cdot i coil}{π \cdot D in}

B - Magnetic Flux Density?μ_r - Relative Permeability?N₂ - Secondary Turns of Coil?i_coil - Coil Current?D_in - Coil Inner Diameter?π - Archimedes' constant?

Flux Density in Toroidal Core Example

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Here is how the Flux Density in Toroidal Core equation looks like with Values.

Here is how the Flux Density in Toroidal Core equation looks like with Units.

Here is how the Flux Density in Toroidal Core equation looks like.

0.2292 = \frac{1.9 \cdot 18 \cdot 0.012}{3.1416 \cdot 570}

0.2292T = \frac{1.9H/m \cdot 18 \cdot 0.012A}{3.1416 \cdot 570mm}

0.2292 = \frac{1.9 \cdot 18 \cdot 0.012}{3.1416 \cdot 570}

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Flux Density in Toroidal Core Solution

Follow our step by step solution on how to calculate Flux Density in Toroidal Core?

FIRST Step Consider the formula

B = \frac{μ r \cdot N 2 \cdot i coil}{π \cdot D in}

Next Step Substitute values of Variables

∴

B = \frac{1.9H/m \cdot 18 \cdot 0.012A}{π \cdot 570mm}

Next Step Substitute values of Constants

∴

B = \frac{1.9H/m \cdot 18 \cdot 0.012A}{3.1416 \cdot 570mm}

Next Step Convert Units

∴

B = \frac{1.9H/m \cdot 18 \cdot 0.012A}{3.1416 \cdot 0.57m}

Next Step Prepare to Evaluate

∴

B = \frac{1.9 \cdot 18 \cdot 0.012}{3.1416 \cdot 0.57}

Next Step Evaluate

∴

B = 0.229183118052329T

LAST Step Rounding Answer

∴

B = 0.2292T

Flux Density in Toroidal Core Formula Elements

Variables

Constants

Magnetic Flux Density

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.

Symbol: B

Measurement: Magnetic Flux DensityUnit: T

Note: Value should be greater than 0.

Formulas to find Magnetic Flux Density

Relative Permeability

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.

Symbol: μ_r

Measurement: Magnetic PermeabilityUnit: H/m

Note: Value can be positive or negative.

Formulas to find Relative Permeability

Secondary Turns of Coil

Secondary turns of coil is number of turns of 2nd winding or number of turns of secondary winding of transformer.

Symbol: N₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Secondary Turns of Coil

Coil Current

Coil Current is defined as the flow of electrons through a conductor which is made into a coil by turning it around.

Symbol: i_coil

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Coil Current

Coil Inner Diameter

Coil Inner Diameter is defined as the distance the separates the entire circumference of the coil within itself.

Symbol: D_in

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Coil Inner Diameter

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Magnetic Flux Density

Go Magnetic Flux Density

B = \frac{Φ m}{A}

Go Magnetic Flux Density using Magnetic Field Intensity

B = μ \cdot I

Other formulas in Magnetic Specifications category

Go Intensity of Magnetization

I mag = \frac{m}{V}

Go Reluctance

S = \frac{L mean}{μ \cdot A}

Go Magnetic Flux in Core

Φ m = \frac{mmf}{S}

Go Magnetic Field Strength

H = \frac{F}{m}

How to Evaluate Flux Density in Toroidal Core?

Flux Density in Toroidal Core evaluator uses Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Coil Current)/(pi*Coil Inner Diameter) to evaluate 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 evaluate Flux Density in Toroidal Core using this online evaluator? To use this online evaluator 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.

FAQs on Flux Density in Toroidal Core

What is the formula to find Flux Density in Toroidal Core?

The formula of Flux Density in Toroidal Core is expressed as Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Coil Current)/(pi*Coil Inner Diameter). Here is an example- 0.229183 = (1.9*18*0.012)/(pi*0.57).

How to calculate Flux Density in Toroidal Core?

With Relative Permeability (μ_r), Secondary Turns of Coil (N₂), Coil Current (i_coil) & Coil Inner Diameter (D_in) we can find Flux Density in Toroidal Core using the formula - Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Coil Current)/(pi*Coil Inner Diameter). This formula also uses Archimedes' constant .

What are the other ways to Calculate Magnetic Flux Density?

Here are the different ways to Calculate Magnetic Flux Density-

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

Can the Flux Density in Toroidal Core be negative?

No, the Flux Density in Toroidal Core, measured in Magnetic Flux Density cannot be negative.

Which unit is used to measure Flux Density in Toroidal Core?

Flux Density in Toroidal Core is usually measured using the Tesla[T] for Magnetic Flux Density. Weber per Square Meter[T], Maxwell Per Square Meter[T], Gauss[T] are the few other units in which Flux Density in Toroidal Core can be measured.

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Flux Density in Toroidal Core Formula

​GoMagnetic Flux Density Formula

​GoMagnetic Flux Density using Magnetic Field Intensity Formula

Flux Density in Toroidal Core Example

Flux Density in Toroidal Core Solution

Flux Density in Toroidal Core Formula Elements

Other Formulas to find Magnetic Flux Density

Other formulas in Magnetic Specifications category

How to Evaluate Flux Density in Toroidal Core?

FAQs on Flux Density in Toroidal Core

Variable Name

GoMagnetic Flux Density Formula

GoMagnetic Flux Density using Magnetic Field Intensity Formula