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

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< 21 Electrowave Dynamics Calculators

Magnetic Force by Lorentz Force Equation

Go Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle)))

Characteristic Impedance of Line

Go Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)

Total Resistance of Coaxial Cable

Go Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of Coaxial Cable)

Inductance per unit Length of Coaxial Cable

Go Inductance per unit Length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Conductance of Coaxial Cable

Go Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Radian Cutoff Angular Frequency

Go Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance)

Inner Resistance of Coaxial Cable

Go Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity)

Outer Resistance of Coaxial Cable

Go Outer Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Outer Radius of Coaxial Cable*Electrical Conductivity)

Resistance of Cylindrical Conductor

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

Inductance between Conductors

Go Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)

Magnitude of Wavevector

Go Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty)

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)

Skin Effect Resistivity

Go Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)

Cutoff Wavelength

Go Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number

Absolute Permeability using Relative Permeability and Permeability of Free Space

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

Phase Velocity in Microstrip Line

Go Phase Velocity = [c]/sqrt(Dielectric Permitivitty)

Free Space Magnetic Flux Density

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

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, Free Space Magnetic Flux Density, often denoted as \( B \), is the strength of the magnetic field in a vacuum, governed by the permeability of free space (\( \mu_0 \)) and the magnetic field intensity. 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?

Free Space Magnetic Flux Density, often denoted as \( B \), is the strength of the magnetic field in a vacuum, governed by the permeability of free space (\( \mu_0 \)) and the magnetic field intensity 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?

Free Space Magnetic Flux Density, often denoted as \( B \), is the strength of the magnetic field in a vacuum, governed by the permeability of free space (\( \mu_0 \)) and the magnetic field intensity 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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