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Magnetic Field at Center of Ring Formula

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Field at Center of Ring is the magnetic field generated at the midpoint of the ring's axis. It is directly proportional to the current and inversely proportional to the radius of the ring. Check FAQs

M ring = \frac{[Permeability-vacuum] \cdot i}{2 \cdot r ring}

M_ring - Field at Center of Ring?i - Electric Current?r_ring - Radius of Ring?[Permeability-vacuum] - Permeability of vacuum?

Magnetic Field at Center of Ring Example

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Here is how the Magnetic Field at Center of Ring equation looks like with Values.

Here is how the Magnetic Field at Center of Ring equation looks like with Units.

Here is how the Magnetic Field at Center of Ring equation looks like.

1.3E-7 = \frac{1.3E-6 \cdot 0.1249}{2 \cdot 0.006}

1.3E-7Wb/m² = \frac{1.3E-6 \cdot 0.1249A}{2 \cdot 0.006m}

1.3E-7 = \frac{1.3E-6 \cdot 0.1249}{2 \cdot 0.006}

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Magnetic Field at Center of Ring Solution

Follow our step by step solution on how to calculate Magnetic Field at Center of Ring?

FIRST Step Consider the formula

M ring = \frac{[Permeability-vacuum] \cdot i}{2 \cdot r ring}

Next Step Substitute values of Variables

∴

M ring = \frac{[Permeability-vacuum] \cdot 0.1249A}{2 \cdot 0.006m}

Next Step Substitute values of Constants

∴

M ring = \frac{1.3E-6 \cdot 0.1249A}{2 \cdot 0.006m}

Next Step Convert Units

∴

M ring = \frac{1.3E-6 \cdot 0.1249A}{2 \cdot 0.6cm}

Next Step Prepare to Evaluate

∴

M ring = \frac{1.3E-6 \cdot 0.1249}{2 \cdot 0.6}

Next Step Evaluate

∴

M ring = 1.30794974144455E-07T

Next Step Convert to Output's Unit

∴

M ring = 1.30794974144455E-07Wb/m²

LAST Step Rounding Answer

∴

M ring = 1.3E-7Wb/m²

Magnetic Field at Center of Ring Formula Elements

Variables

Constants

Field at Center of Ring

Field at Center of Ring is the magnetic field generated at the midpoint of the ring's axis. It is directly proportional to the current and inversely proportional to the radius of the ring.

Symbol: M_ring

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Field at Center of Ring

Electric Current

Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time.

Symbol: i

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Electric Current

Radius of Ring

The Radius of Ring is the distance from the center of the ring to any point on its circumference. It determines the size and shape of the ring.

Symbol: r_ring

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Ring

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

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 Magnetic Field at Center of Ring?

Magnetic Field at Center of Ring evaluator uses Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*Radius of Ring) to evaluate the Field at Center of Ring, Magnetic Field at Center of Ring formula is defined as a measure of the magnetic induction at the center of a circular ring, which is a fundamental concept in electromagnetism, used to calculate the magnetic field strength at the center of a ring-shaped current-carrying conductor. Field at Center of Ring is denoted by M_ring symbol.

How to evaluate Magnetic Field at Center of Ring using this online evaluator? To use this online evaluator for Magnetic Field at Center of Ring, enter Electric Current (i) & Radius of Ring (r_ring) and hit the calculate button.

FAQs on Magnetic Field at Center of Ring

What is the formula to find Magnetic Field at Center of Ring?

The formula of Magnetic Field at Center of Ring is expressed as Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*Radius of Ring). Here is an example- 1.3E-7 = ([Permeability-vacuum]*0.1249)/(2*0.006).

How to calculate Magnetic Field at Center of Ring?

With Electric Current (i) & Radius of Ring (r_ring) we can find Magnetic Field at Center of Ring using the formula - Field at Center of Ring = ([Permeability-vacuum]*Electric Current)/(2*Radius of Ring). This formula also uses Permeability of vacuum constant(s).

Can the Magnetic Field at Center of Ring be negative?

Yes, the Magnetic Field at Center of Ring, measured in Magnetic Field can be negative.

Which unit is used to measure Magnetic Field at Center of Ring?

Magnetic Field at Center of Ring 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 Magnetic Field at Center of Ring can be measured.

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