Self Inductance of Solenoid Calculator

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Electromagnetic Induction

Capacitor

Electrostatics

Magnetic Field due to Current

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Basics of Electromagentic Induction

Energy

Impedance

Phase Shift

✖Number of Turns of Solenoid is the number of times the wire has wrapped the shapped peripheral.ⓘ Number of Turns of Solenoid [n_turns]			+10% -10%
✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+10% -10%
✖Length of Solenoid is the length the solenoid measures of.ⓘ Length of Solenoid [L_solenoid]			+10% -10%

✖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.ⓘ Self Inductance of Solenoid [L_in]

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Formula

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Self Inductance of Solenoid

Formula

`"L"_{"in"} = pi*"[Permeability-vacuum]"*"n"_{"turns"}^2*"r"^2*"L"_{"solenoid"}`

Example

`"0.019538H"=pi*"[Permeability-vacuum]"*("18")^2*("1.15m")^2*"11.55m"`

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Self Inductance of Solenoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid
L_in = pi*[Permeability-vacuum]*n_turns^2*r^2*L_solenoid
This formula uses 2 Constants, 4 Variables

Constants Used

[Permeability-vacuum] - Permeability of vacuum Value Taken As 1.2566E-6
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Self Inductance of Solenoid - (Measured in Henry) - 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.
Number of Turns of Solenoid - Number of Turns of Solenoid is the number of times the wire has wrapped the shapped peripheral.
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
Length of Solenoid - (Measured in Meter) - Length of Solenoid is the length the solenoid measures of.

STEP 1: Convert Input(s) to Base Unit

Number of Turns of Solenoid: 18 --> No Conversion Required
Radius: 1.15 Meter --> 1.15 Meter No Conversion Required
Length of Solenoid: 11.55 Meter --> 11.55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_in = pi*[Permeability-vacuum]*n_turns^2*r^2*L_solenoid --> pi*[Permeability-vacuum]*18^2*1.15^2*11.55

Evaluating ... ...

L_in = 0.0195381037689812

STEP 3: Convert Result to Output's Unit

0.0195381037689812 Henry --> No Conversion Required

FINAL ANSWER

0.0195381037689812 ≈ 0.019538 Henry <-- Self Inductance of Solenoid

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology (IIIT), Guwahati

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< 15 Basics of Electromagentic Induction Calculators

EMF Induced in Rotating Coil

Go EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time)

Self Inductance of Solenoid

Go Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid

Growth of Current in LR Circuit

Go Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance)))

Decay of Current in LR circuit

Go Decay of Current in L-R Circuit = Electric Current*e^(-Time Period of Progressive Wave/(Inductance/Resistance))

Current Value for Alternating Current

Go Electric Current = Peak Current*sin(Angular Frequency*Time+Angle A)

Power Factor

Go Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference)

Resonant Frequency for LCR Circuit

Go Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance))

Total Flux in Self Inductance

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

Motional EMF

Go Electromotive Force = Magnetic Field*Length*Velocity

Total Flux in Mutual Inductance

Go Total Flux in Mutual Inductance = Mutual Inductance*Electric Current

Time Period for Alternating Current

Go Time Period of Progressive Wave = (2*pi)/Angular Velocity

Capacitive Reactance

Go Capacitive Reactance = 1/(Angular Velocity*Capacitance)

Time Constant of LR Circuit

Go Time Constant of L-R Circuit = Inductance/Resistance

RMS Current given Peak Current

Go Root Mean Square Current = Electric Current/sqrt(2)

Inductive Reactance

Go Inductive Reactance = Angular Velocity*Inductance

Self Inductance of Solenoid Formula

Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid
L_in = pi*[Permeability-vacuum]*n_turns^2*r^2*L_solenoid

What is self inductance of a solenoid?

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

How to Calculate Self Inductance of Solenoid?

Self Inductance of Solenoid calculator uses Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid to calculate 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 calculate Self Inductance of Solenoid using this online calculator? To use this online calculator 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. Here is how the Self Inductance of Solenoid calculation can be explained with given input values -> 0.019538 = pi*[Permeability-vacuum]*18^2*1.15^2*11.55.

FAQ

What is 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 and is represented as L_in = pi*[Permeability-vacuum]*n_turns^2*r^2*L_solenoid or Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid. Number of Turns of Solenoid is the number of times the wire has wrapped the shapped peripheral, Radius is a radial line from the focus to any point of a curve & Length of Solenoid is the length the solenoid measures of.

How to calculate 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 is calculated using Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid. To calculate Self Inductance of Solenoid, you need Number of Turns of Solenoid (n_turns), Radius (r) & Length of Solenoid (L_solenoid). With our tool, you need to enter the respective value for Number of Turns of Solenoid, Radius & Length of Solenoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Self Inductance of Solenoid?

In this formula, Self Inductance of Solenoid uses Number of Turns of Solenoid, Radius & Length of Solenoid. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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