Free Space Magnetic Flux Density Calculator

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✖Magnetic Field Strength, denoted by the symbol H, is a measure of the intensity of a magnetic field within a material or a region of space.ⓘ Magnetic Field Strength [H_o]

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✖Free space Magnetic Flux Density refers to the magnetic field strength in a vacuum or free space.ⓘ Free Space Magnetic Flux Density [B_o]

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Formula

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Free Space Magnetic Flux Density

Formula

`"B"_{"o"} = "[Permeability-vacuum]"*"H"_{"o"}`

Example

`"2.3E^-6Wb/m²"="[Permeability-vacuum]"*"1.8A/m"`

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Free Space Magnetic Flux Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength
B_o = [Permeability-vacuum]*H_o
This formula uses 1 Constants, 2 Variables

Constants Used

[Permeability-vacuum] - Permeability of vacuum Value Taken As 1.2566E-6

Variables Used

Free space Magnetic Flux Density - (Measured in Tesla) - Free space Magnetic Flux Density refers to the magnetic field strength in a vacuum or free space.
Magnetic Field Strength - (Measured in Ampere per Meter) - Magnetic Field Strength, denoted by the symbol H, is a measure of the intensity of a magnetic field within a material or a region of space.

STEP 1: Convert Input(s) to Base Unit

Magnetic Field Strength: 1.8 Ampere per Meter --> 1.8 Ampere per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_o = [Permeability-vacuum]*H_o --> [Permeability-vacuum]*1.8

Evaluating ... ...

B_o = 2.26194671058465E-06

STEP 3: Convert Result to Output's Unit

2.26194671058465E-06 Tesla -->2.26194671058465E-06 Weber per Square Meter (Check conversion here)

FINAL ANSWER

2.26194671058465E-06 ≈ 2.3E-6 Weber per Square Meter <-- Free space Magnetic Flux Density

(Calculation completed in 00.004 seconds)

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Credits

Created by Souradeep Dey

National Institute of Technology Agartala (NITA), Agartala, Tripura

Souradeep Dey has created this Calculator and 25+ more calculators!

Verified by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

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< 20 Magnetic Forces and Materials Calculators

Biot-Savart Equation

Go Magnetic Field Strength = int(Electric Current*x*sin(Theta)/(4*pi*(Perpendicular Distance^2)),x,0,Integral Path Length)

Retarded Vector Magnetic Potential

Go Retarded Vector Magnetic Potential = int((Magnetic Permeability of Medium*Amperes Circuital Current*x)/(4*pi*Perpendicular Distance),x,0,Length)

Biot-Savart Equation using Current Density

Go Magnetic Field Strength = int(Current Density*x*sin(Theta)/(4*pi*(Perpendicular Distance)^2),x,0,Volume)

Vector Magnetic Potential

Go Vector Magnetic Potential = int(([Permeability-vacuum]*Electric Current*x)/(4*pi*Perpendicular Distance),x,0,Integral Path Length)

Vector Magnetic Potential using Current Density

Go Vector Magnetic Potential = int(([Permeability-vacuum]*Current Density*x)/(4*pi*Perpendicular Distance),x,0,Volume)

Magnetic Force by Lorentz Force Equation

Go Magnetic force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Theta)))

Electric Potential in Magnetic Field

Go Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume)

Resistance of Cylindrical Conductor

Go Resistance of Cylindrical Conductor = Length of Cylindrical Conductor/(Electrical Conductivity*Cross Sectional Area of Cylindrical)

Magnetic Scalar Potential

Go Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit))

Current Flowing through N-Turn Coil

Go Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil

Magnetization using Magnetic Field Strength, and Magnetic Flux Density

Go Magnetization = (Magnetic Flux Density/[Permeability-vacuum])-Magnetic Field Strength

Magnetic Flux Density using Magnetic Field Strength, and Magnetization

Go Magnetic Flux Density = [Permeability-vacuum]*(Magnetic Field Strength+Magnetization)

Ampere's Circuital Equation

Go Amperes Circuital Current = int(Magnetic Field Strength*x,x,0,Integral Path Length)

Absolute Permeability using Relative Permeability and Permeability of Free Space

Go Absolute Permeability of Material = Relative Permeability of Material*[Permeability-vacuum]

Electromotive Force about Closed Path

Go Electromotive Force = int(Electric Field*x,x,0,Length)

Free Space Magnetic Flux Density

Go Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength

Net Bound Current

Go Net Bound Current = int(Magnetization,x,0,Length)

Internal Inductance of Long Straight Wire

Go Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi)

Magnetomotive Force given Reluctance and Magnetic Flux

Go Magnetomotive Voltage = Magnetic Flux*Reluctance

Magnetic Susceptibility using relative permeability

Go Magnetic Susceptibility = Magnetic Permeability-1

Free Space Magnetic Flux Density Formula

Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength
B_o = [Permeability-vacuum]*H_o

Significance of Magnetic Flux Density in Free Space?

Grasp basic electromagnetic principles requires a grasp of the free space magnetic flux density. It measures the magnetic field's intensity in an empty vacuum without any magnetic materials. This quantity is essential to Maxwell's equations, which assist explain electromagnetic events. It is connected to the strength of the magnetic field and the permeability of free space. It is important because it establishes a standard for magnetic field analysis and makes it easier to comprehend how magnetic fields spread when influencing materials are not present. These insights lay the groundwork for a variety of physics and engineering applications.

How to Calculate Free Space Magnetic Flux Density?

Free Space Magnetic Flux Density calculator uses Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength to calculate the Free space Magnetic Flux Density, The Free Space Magnetic Flux Density in a vacuum is measured as B. Essentially, it measures the magnetic field's intensity when there are no magnetic materials or currents present. Free space Magnetic Flux Density is denoted by B_o symbol.

How to calculate Free Space Magnetic Flux Density using this online calculator? To use this online calculator for Free Space Magnetic Flux Density, enter Magnetic Field Strength (H_o) and hit the calculate button. Here is how the Free Space Magnetic Flux Density calculation can be explained with given input values -> 2.3E-6 = [Permeability-vacuum]*1.8.

FAQ

What is Free Space Magnetic Flux Density?

The Free Space Magnetic Flux Density in a vacuum is measured as B. Essentially, it measures the magnetic field's intensity when there are no magnetic materials or currents present and is represented as B_o = [Permeability-vacuum]*H_o or Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength. Magnetic Field Strength, denoted by the symbol H, is a measure of the intensity of a magnetic field within a material or a region of space.

How to calculate Free Space Magnetic Flux Density?

The Free Space Magnetic Flux Density in a vacuum is measured as B. Essentially, it measures the magnetic field's intensity when there are no magnetic materials or currents present is calculated using Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength. To calculate Free Space Magnetic Flux Density, you need Magnetic Field Strength (H_o). With our tool, you need to enter the respective value for Magnetic Field Strength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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