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Field of Bar Magnet at Axial position Formula

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Field at Axial Position of Bar Magnet is the magnetic field generated along the line passing through the poles of the magnet. Check FAQs

B axial = \frac{2 \cdot [Permeability-vacuum] \cdot M}{4 \cdot π \cdot a^{3}}

B_axial - Field at Axial Position of Bar Magnet?M - Magnetic Moment?a - Distance from Center to Point?[Permeability-vacuum] - Permeability of vacuum?π - Archimedes' constant?

Field of Bar Magnet at Axial position Example

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Here is how the Field of Bar Magnet at Axial position equation looks like with Values.

Here is how the Field of Bar Magnet at Axial position equation looks like with Units.

Here is how the Field of Bar Magnet at Axial position equation looks like.

4.0808 = \frac{2 \cdot 1.3E-6 \cdot 90}{4 \cdot 3.1416 \cdot {0.0164}^{3}}

4.0808Wb/m² = \frac{2 \cdot 1.3E-6 \cdot 90Wb/m²}{4 \cdot 3.1416 \cdot {0.0164m}^{3}}

4.0808 = \frac{2 \cdot 1.3E-6 \cdot 90}{4 \cdot 3.1416 \cdot {0.0164}^{3}}

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Field of Bar Magnet at Axial position Solution

Follow our step by step solution on how to calculate Field of Bar Magnet at Axial position?

FIRST Step Consider the formula

B axial = \frac{2 \cdot [Permeability-vacuum] \cdot M}{4 \cdot π \cdot a^{3}}

Next Step Substitute values of Variables

∴

B axial = \frac{2 \cdot [Permeability-vacuum] \cdot 90Wb/m²}{4 \cdot π \cdot {0.0164m}^{3}}

Next Step Substitute values of Constants

∴

B axial = \frac{2 \cdot 1.3E-6 \cdot 90Wb/m²}{4 \cdot 3.1416 \cdot {0.0164m}^{3}}

Next Step Convert Units

∴

B axial = \frac{2 \cdot 1.3E-6 \cdot 90T}{4 \cdot 3.1416 \cdot {0.0164m}^{3}}

Next Step Prepare to Evaluate

∴

B axial = \frac{2 \cdot 1.3E-6 \cdot 90}{4 \cdot 3.1416 \cdot {0.0164}^{3}}

Next Step Evaluate

∴

B axial = 4.08075913001843T

Next Step Convert to Output's Unit

∴

B axial = 4.08075913001843Wb/m²

LAST Step Rounding Answer

∴

B axial = 4.0808Wb/m²

Field of Bar Magnet at Axial position Formula Elements

Variables

Constants

Field at Axial Position of Bar Magnet

Field at Axial Position of Bar Magnet is the magnetic field generated along the line passing through the poles of the magnet.

Symbol: B_axial

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Field at Axial Position of Bar Magnet

Magnetic Moment

Magnetic Moment is a measure of the strength and direction of a magnetic source, such as a magnet or current loop. It determines the torque experienced by the source in a magnetic field.

Symbol: M

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Magnetic Moment

Distance from Center to Point

Distance from Center to Point is the length of a straight line connecting the center of a circle or sphere to any point on its surface. This distance is also known as the radius.

Symbol: a

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Center to Point

Permeability of vacuum

Permeability of vacuum is a fundamental physical constant that relates the magnetic field within a vacuum to the current producing that field.

Symbol: [Permeability-vacuum]

Value: 1.2566E-6

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 in Magnetism category

Go Magnetic Field on Axis of Ring

B = \frac{[Permeability-vacuum] \cdot i \cdot {r ring}^{2}}{2 \cdot {({r ring}^{2} + d^{2})}^{\frac{3}{2}}}

Go Force between Parallel Wires

F 𝑙 = \frac{[Permeability-vacuum] \cdot I 1 \cdot I 2}{2 \cdot π \cdot d}

Go Magnetic Field at Center of Arc

M arc = \frac{[Permeability-vacuum] \cdot i \cdot θ arc}{4 \cdot π \cdot r ring}

Go Field Inside Solenoid

B = \frac{[Permeability-vacuum] \cdot i \cdot N}{L solenoid}

How to Evaluate Field of Bar Magnet at Axial position?

Field of Bar Magnet at Axial position evaluator uses Field at Axial Position of Bar Magnet = (2*[Permeability-vacuum]*Magnetic Moment)/(4*pi*Distance from Center to Point^3) to evaluate the Field at Axial Position of Bar Magnet, Field of Bar Magnet at Axial position formula is defined as the measure of the magnetic field strength at a point on the axis of a bar magnet, which is influenced by the magnet's strength and the distance from the magnet. It is a crucial concept in understanding the behavior of magnetic fields and their applications. Field at Axial Position of Bar Magnet is denoted by B_axial symbol.

How to evaluate Field of Bar Magnet at Axial position using this online evaluator? To use this online evaluator for Field of Bar Magnet at Axial position, enter Magnetic Moment (M) & Distance from Center to Point (a) and hit the calculate button.

FAQs on Field of Bar Magnet at Axial position

What is the formula to find Field of Bar Magnet at Axial position?

The formula of Field of Bar Magnet at Axial position is expressed as Field at Axial Position of Bar Magnet = (2*[Permeability-vacuum]*Magnetic Moment)/(4*pi*Distance from Center to Point^3). Here is an example- 4.080759 = (2*[Permeability-vacuum]*90)/(4*pi*0.0164^3).

How to calculate Field of Bar Magnet at Axial position?

With Magnetic Moment (M) & Distance from Center to Point (a) we can find Field of Bar Magnet at Axial position using the formula - Field at Axial Position of Bar Magnet = (2*[Permeability-vacuum]*Magnetic Moment)/(4*pi*Distance from Center to Point^3). This formula also uses Permeability of vacuum, Archimedes' constant .

Can the Field of Bar Magnet at Axial position be negative?

Yes, the Field of Bar Magnet at Axial position, measured in Magnetic Field can be negative.

Which unit is used to measure Field of Bar Magnet at Axial position?

Field of Bar Magnet at Axial position is usually measured using the Weber per Square Meter[Wb/m²] for Magnetic Field. Tesla[Wb/m²], Microtesla[Wb/m²], Megatesla[Wb/m²] are the few other units in which Field of Bar Magnet at Axial position can be measured.

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Field of Bar Magnet at Axial position Formula

Field of Bar Magnet at Axial position Example

Field of Bar Magnet at Axial position Solution

Field of Bar Magnet at Axial position Formula Elements

Other formulas in Magnetism category

How to Evaluate Field of Bar Magnet at Axial position?

FAQs on Field of Bar Magnet at Axial position

Variable Name