Total Flux in Self Inductance Calculator

✖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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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 00.020 seconds)

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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National Institute Of Technology (NIT), Hamirpur

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< Basics of Electromagentic Induction Calculators

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Total Flux in Self Inductance Formula

LaTeX Go

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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