Magnetic Field of Solenoid Formula

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Solenoid Magnetic Field is the magnetic field generated inside a coil of wire when an electric current passes through it, characterized by uniformity and directed along the coil's axis. Check FAQs
Hs=[Permeability-vacuum]NIL
Hs - Solenoid Magnetic Field?N - Number of Coil Turn?I - Electric Current?L - Solenoid Length?[Permeability-vacuum] - Permeability of vacuum?

Magnetic Field of Solenoid Example

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With units
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Here is how the Magnetic Field of Solenoid equation looks like with Values.

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

Here is how the Magnetic Field of Solenoid equation looks like.

5.3E-6Edit=1.3E-623Edit2.1Edit11.55Edit
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Magnetic Field of Solenoid Solution

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

FIRST Step Consider the formula
Hs=[Permeability-vacuum]NIL
Next Step Substitute values of Variables
Hs=[Permeability-vacuum]232.1A11.55m
Next Step Substitute values of Constants
Hs=1.3E-6232.1A11.55m
Next Step Prepare to Evaluate
Hs=1.3E-6232.111.55
Next Step Evaluate
Hs=5.25502771145929E-06T
LAST Step Rounding Answer
Hs=5.3E-6T

Magnetic Field of Solenoid Formula Elements

Variables
Constants
Solenoid Magnetic Field
Solenoid Magnetic Field is the magnetic field generated inside a coil of wire when an electric current passes through it, characterized by uniformity and directed along the coil's axis.
Symbol: Hs
Measurement: Magnetic FieldUnit: T
Note: Value should be greater than 0.
Number of Coil Turn
Number of Coil Turn refers to the count of loops or windings in an electrical coil. It directly impacts the strength of the magnetic field and the induced voltage.
Symbol: N
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Electric Current
Electric Current is defined as the rate at which electric charge flows through a conductor or a circuit, typically measured in amperes (A).
Symbol: I
Measurement: Electric CurrentUnit: A
Note: Value should be greater than 0.
Solenoid Length
Solenoid Length refers to the physical extent of a cylindrical coil of wire used to generate a magnetic field when an electric current passes through it.
Symbol: L
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 Magnetic Instruments category

​Go Number of Turns in Solenoid
N=HsLI[Permeability-vacuum]
​Go Magneto Motive Force(MMF)
mmf=ΦR
​Go Reluctance of Magnetic Circuit
R=mmfΦ
​Go Area of Cross-section of Specimen
A=ΦB

How to Evaluate Magnetic Field of Solenoid?

Magnetic Field of Solenoid evaluator uses Solenoid Magnetic Field = ([Permeability-vacuum]*Number of Coil Turn*Electric Current)/Solenoid Length to evaluate the Solenoid Magnetic Field, Magnetic Field of Solenoid is generated when an electric current flows through a device that consists of a tightly wound coil of wire in the form of a cylindrical shape. It is calculated as per Ampere’s Law. Solenoid Magnetic Field is denoted by Hs symbol.

How to evaluate Magnetic Field of Solenoid using this online evaluator? To use this online evaluator for Magnetic Field of Solenoid, enter Number of Coil Turn (N), Electric Current (I) & Solenoid Length (L) and hit the calculate button.

FAQs on Magnetic Field of Solenoid

What is the formula to find Magnetic Field of Solenoid?
The formula of Magnetic Field of Solenoid is expressed as Solenoid Magnetic Field = ([Permeability-vacuum]*Number of Coil Turn*Electric Current)/Solenoid Length. Here is an example- 5.3E-6 = ([Permeability-vacuum]*23*2.1)/11.55.
How to calculate Magnetic Field of Solenoid?
With Number of Coil Turn (N), Electric Current (I) & Solenoid Length (L) we can find Magnetic Field of Solenoid using the formula - Solenoid Magnetic Field = ([Permeability-vacuum]*Number of Coil Turn*Electric Current)/Solenoid Length. This formula also uses Permeability of vacuum constant(s).
Can the Magnetic Field of Solenoid be negative?
No, the Magnetic Field of Solenoid, measured in Magnetic Field cannot be negative.
Which unit is used to measure Magnetic Field of Solenoid?
Magnetic Field of Solenoid is usually measured using the Tesla[T] for Magnetic Field. Microtesla[T], Megatesla[T], Weber per Square Meter[T] are the few other units in which Magnetic Field of Solenoid can be measured.
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