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Field Inside Solenoid Formula

GoMagnetic Field on Axis of Ring Formula

GoMagnetic Field due to Straight Conductor Formula

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The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength. Check FAQs

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

B - Magnetic Field?i - Electric Current?N - Number of Turns?L_solenoid - Length of Solenoid?[Permeability-vacuum] - Permeability of vacuum?

Field Inside Solenoid Example

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Here is how the Field Inside Solenoid equation looks like with Values.

Here is how the Field Inside Solenoid equation looks like with Units.

Here is how the Field Inside Solenoid equation looks like.

0.0001 = \frac{1.3E-6 \cdot 0.1249 \cdot 71}{0.075}

0.0001Wb/m² = \frac{1.3E-6 \cdot 0.1249A \cdot 71}{0.075m}

0.0001 = \frac{1.3E-6 \cdot 0.1249 \cdot 71}{0.075}

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Field Inside Solenoid Solution

Follow our step by step solution on how to calculate Field Inside Solenoid?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = \frac{[Permeability-vacuum] \cdot 0.1249A \cdot 71}{0.075m}

Next Step Substitute values of Constants

∴

B = \frac{1.3E-6 \cdot 0.1249A \cdot 71}{0.075m}

Next Step Prepare to Evaluate

∴

B = \frac{1.3E-6 \cdot 0.1249 \cdot 71}{0.075}

Next Step Evaluate

∴

B = 0.000148583090628101T

Next Step Convert to Output's Unit

∴

B = 0.000148583090628101Wb/m²

LAST Step Rounding Answer

∴

B = 0.0001Wb/m²

Field Inside Solenoid Formula Elements

Variables

Constants

Magnetic Field

The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.

Symbol: B

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Magnetic Field

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

Number of Turns

The Number of Turns refers to the total loops or coils in a wire wound around a core. It affects the strength of the magnetic field in devices like solenoids and transformers.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Turns

Length of Solenoid

Length of Solenoid is the distance from one end of the solenoid to the other along its axis. It affects the solenoid's magnetic field strength and inductance.

Symbol: L_solenoid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Solenoid

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 to find Magnetic Field

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 Magnetic Field due to Straight Conductor

B = \frac{[Permeability-vacuum] \cdot i}{4 \cdot π \cdot d} \cdot (\cos (θ 1) - \cos (θ 2))

Go Magnetic Field Due to Infinite Straight Wire

B = \frac{[Permeability-vacuum] \cdot i}{2 \cdot π \cdot d}

Other formulas in Magnetism category

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 Magnetic Field at Center of Ring

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

Go Field of Bar Magnet at Axial position

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

How to Evaluate Field Inside Solenoid?

Field Inside Solenoid evaluator uses Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid to evaluate the Magnetic Field, Field Inside Solenoid formula is defined as a measure of the magnetic field strength inside a solenoid, which is a type of electrical coil, and is used to calculate the magnetic flux density within the coil. It is an important concept in electromagnetism and is widely used in various applications, including electrical engineering and physics. Magnetic Field is denoted by B symbol.

How to evaluate Field Inside Solenoid using this online evaluator? To use this online evaluator for Field Inside Solenoid, enter Electric Current (i), Number of Turns (N) & Length of Solenoid (L_solenoid) and hit the calculate button.

FAQs on Field Inside Solenoid

What is the formula to find Field Inside Solenoid?

The formula of Field Inside Solenoid is expressed as Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid. Here is an example- 0.000159 = ([Permeability-vacuum]*0.1249*71)/0.075.

How to calculate Field Inside Solenoid?

With Electric Current (i), Number of Turns (N) & Length of Solenoid (L_solenoid) we can find Field Inside Solenoid using the formula - Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid. This formula also uses Permeability of vacuum constant(s).

What are the other ways to Calculate Magnetic Field?

Here are the different ways to Calculate Magnetic Field-

Magnetic Field=([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))
Magnetic Field=([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2))
Magnetic Field=([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance)

Can the Field Inside Solenoid be negative?

Yes, the Field Inside Solenoid, measured in Magnetic Field can be negative.

Which unit is used to measure Field Inside Solenoid?

Field Inside Solenoid 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 Inside Solenoid can be measured.

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