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Self Inductance of Solenoid Formula

GoTotal Flux in Self Inductance Formula

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The Self Inductance of Solenoid formula is defined as the flux associated with the solenoid when a unit amount of current is passed through it. Check FAQs

L in = π \cdot [Permeability-vacuum] \cdot {n turns}^{2} \cdot r^{2} \cdot L solenoid

L_in - Self Inductance of Solenoid?n_turns - Number of Turns of Solenoid?r - Radius?L_solenoid - Length of Solenoid?[Permeability-vacuum] - Permeability of vacuum?π - Archimedes' constant?

Self Inductance of Solenoid Example

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Here is how the Self Inductance of Solenoid equation looks like with Values.

Here is how the Self Inductance of Solenoid equation looks like with Units.

Here is how the Self Inductance of Solenoid equation looks like.

0.0195 = 3.1416 \cdot 1.3E-6 \cdot 18^{2} \cdot {1.15}^{2} \cdot 11.55

0.0195H = 3.1416 \cdot 1.3E-6 \cdot 18^{2} \cdot {1.15m}^{2} \cdot 11.55m

0.0195 = 3.1416 \cdot 1.3E-6 \cdot 18^{2} \cdot {1.15}^{2} \cdot 11.55

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Self Inductance of Solenoid Solution

Follow our step by step solution on how to calculate Self Inductance of Solenoid?

FIRST Step Consider the formula

L in = π \cdot [Permeability-vacuum] \cdot {n turns}^{2} \cdot r^{2} \cdot L solenoid

Next Step Substitute values of Variables

∴

L in = π \cdot [Permeability-vacuum] \cdot 18^{2} \cdot {1.15m}^{2} \cdot 11.55m

Next Step Substitute values of Constants

∴

L in = 3.1416 \cdot 1.3E-6 \cdot 18^{2} \cdot {1.15m}^{2} \cdot 11.55m

Next Step Prepare to Evaluate

∴

L in = 3.1416 \cdot 1.3E-6 \cdot 18^{2} \cdot {1.15}^{2} \cdot 11.55

Next Step Evaluate

∴

L in = 0.0195381037689812H

LAST Step Rounding Answer

∴

L in = 0.0195H

Self Inductance of Solenoid Formula Elements

Variables

Constants

Self Inductance of Solenoid

The Self Inductance of Solenoid formula is defined as the flux associated with the solenoid when a unit amount of current is passed through it.

Symbol: L_in

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Self Inductance of Solenoid

Number of Turns of Solenoid

Number of Turns of Solenoid is the number of times the wire has wrapped the shapped peripheral.

Symbol: n_turns

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Turns of Solenoid

Radius

Radius is a radial line from the focus to any point of a curve.

Symbol: r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius

Length of Solenoid

Length of Solenoid is the length the solenoid measures of.

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

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 to find Self Inductance of Solenoid

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How to Evaluate Self Inductance of Solenoid?

Self Inductance of Solenoid evaluator uses Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid to evaluate the Self Inductance of Solenoid, The Self Inductance of Solenoid formula is defined as the flux associated with the solenoid when a unit amount of current is passed through it. The direction of the induced emf is such that it opposes its very own cause which produces it, which means that it opposes the change of current through the coil. Self Inductance of Solenoid is denoted by L_in symbol.

How to evaluate Self Inductance of Solenoid using this online evaluator? To use this online evaluator for Self Inductance of Solenoid, enter Number of Turns of Solenoid (n_turns), Radius (r) & Length of Solenoid (L_solenoid) and hit the calculate button.

FAQs on Self Inductance of Solenoid

What is the formula to find Self Inductance of Solenoid?

The formula of Self Inductance of Solenoid is expressed as Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid. Here is an example- 0.019538 = pi*[Permeability-vacuum]*18^2*1.15^2*11.55.

How to calculate Self Inductance of Solenoid?

With Number of Turns of Solenoid (n_turns), Radius (r) & Length of Solenoid (L_solenoid) we can find Self Inductance of Solenoid using the formula - Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid. This formula also uses Permeability of vacuum, Archimedes' constant .

What are the other ways to Calculate Self Inductance of Solenoid?

Here are the different ways to Calculate Self Inductance of Solenoid-

Self Inductance of Solenoid=pi*Magnetic Flux*Radius^2

Can the Self Inductance of Solenoid be negative?

Yes, the Self Inductance of Solenoid, measured in Inductance can be negative.

Which unit is used to measure Self Inductance of Solenoid?

Self Inductance of Solenoid is usually measured using the Henry[H] for Inductance. Millihenry[H], Microhenry[H] are the few other units in which Self Inductance of Solenoid can be measured.

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Self Inductance of Solenoid Formula

​GoTotal Flux in Self Inductance Formula

Self Inductance of Solenoid Example

Self Inductance of Solenoid Solution

Self Inductance of Solenoid Formula Elements

Other Formulas to find Self Inductance of Solenoid

Other formulas in Basics of Electromagentic Induction category

How to Evaluate Self Inductance of Solenoid?

FAQs on Self Inductance of Solenoid

Variable Name

GoTotal Flux in Self Inductance Formula