Total Flux in Self Inductance 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

✖Magnetic flux (Φ) is the number of magnetic field lines passing through a surface (such as a loop of wire).ⓘ Magnetic Flux [Φ_m]			+10% -10%
✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+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.ⓘ Total Flux in Self Inductance [L_in]

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Formula

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Total Flux in Self Inductance

Formula

`"L"_{"in"} = pi*"Φ"_{"m"}*"r"^2`

Example

`"955.5939H"=pi*"230Wb"*("1.15m")^2`

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Total Flux in Self Inductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Self Inductance of Solenoid = pi*Magnetic Flux*Radius^2
L_in = pi*Φ_m*r^2
This formula uses 1 Constants, 3 Variables

Constants Used

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.
Magnetic Flux - (Measured in Weber) - Magnetic flux (Φ) is the number of magnetic field lines passing through a surface (such as a loop of wire).
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.

STEP 1: Convert Input(s) to Base Unit

Magnetic Flux: 230 Weber --> 230 Weber No Conversion Required
Radius: 1.15 Meter --> 1.15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_in = pi*Φ_m*r^2 --> pi*230*1.15^2

Evaluating ... ...

L_in = 955.593945405675

STEP 3: Convert Result to Output's Unit

955.593945405675 Henry --> No Conversion Required

FINAL ANSWER

955.593945405675 ≈ 955.5939 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

Total Flux in Self Inductance Formula

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

What is a solenoid?

A solenoid is a device comprised of a coil of wire, the housing and a moveable plunger (armature). When an electrical current is introduced, a magnetic field forms around the coil which draws the plunger in. The coil is made of many turns of tightly wound copper wire.

How to Calculate Total Flux in Self Inductance?

Total Flux in Self Inductance calculator uses Self Inductance of Solenoid = pi*Magnetic Flux*Radius^2 to calculate the Self Inductance of Solenoid, The total flux in self inductance formula is defined as a solenoid, a long coil of wire wrapped in many turns. When a current passes through it, it creates a nearly uniform magnetic field inside. Self Inductance of Solenoid is denoted by L_in symbol.

How to calculate Total Flux in Self Inductance using this online calculator? To use this online calculator for Total Flux in Self Inductance, enter Magnetic Flux (Φ_m) & Radius (r) and hit the calculate button. Here is how the Total Flux in Self Inductance calculation can be explained with given input values -> 955.5939 = pi*230*1.15^2.

FAQ

What is Total Flux in Self Inductance?

The total flux in self inductance formula is defined as a solenoid, a long coil of wire wrapped in many turns. When a current passes through it, it creates a nearly uniform magnetic field inside and is represented as L_in = pi*Φ_m*r^2 or Self Inductance of Solenoid = pi*Magnetic Flux*Radius^2. Magnetic flux (Φ) is the number of magnetic field lines passing through a surface (such as a loop of wire) & Radius is a radial line from the focus to any point of a curve.

How to calculate Total Flux in Self Inductance?

The total flux in self inductance formula is defined as a solenoid, a long coil of wire wrapped in many turns. When a current passes through it, it creates a nearly uniform magnetic field inside is calculated using Self Inductance of Solenoid = pi*Magnetic Flux*Radius^2. To calculate Total Flux in Self Inductance, you need Magnetic Flux (Φ_m) & Radius (r). With our tool, you need to enter the respective value for Magnetic Flux & Radius 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 Magnetic Flux & Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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