Net Bound Current Calculator

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✖Magnetization is the process by which the magnetic moments of atoms or molecules within a material align in a specific direction, resulting in the material acquiring a net magnetic dipole moment.ⓘ Magnetization [M_em]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%

✖Net bound current (I_B) refers to the total current circulating within a closed loop due solely to the material's magnetization.ⓘ Net Bound Current [I_B]

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Formula

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Net Bound Current

Formula

`"I"_{"B"} = int("M"_{"em"},x,0,"L")`

Example

`"4704.6A"=int("1568.2A/m",x,0,"3m")`

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Net Bound Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Net Bound Current = int(Magnetization,x,0,Length)
I_B = int(M_em,x,0,L)
This formula uses 1 Functions, 3 Variables

Functions Used

int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

Net Bound Current - (Measured in Ampere) - Net bound current (I_B) refers to the total current circulating within a closed loop due solely to the material's magnetization.
Magnetization - (Measured in Ampere per Meter) - Magnetization is the process by which the magnetic moments of atoms or molecules within a material align in a specific direction, resulting in the material acquiring a net magnetic dipole moment.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Magnetization: 1568.2 Ampere per Meter --> 1568.2 Ampere per Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_B = int(M_em,x,0,L) --> int(1568.2,x,0,3)

Evaluating ... ...

I_B = 4704.6

STEP 3: Convert Result to Output's Unit

4704.6 Ampere --> No Conversion Required

FINAL ANSWER

4704.6 Ampere <-- Net Bound Current

(Calculation completed in 00.020 seconds)

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Created by Vignesh Naidu

Vellore Institute of Technology (VIT), Vellore,Tamil Nadu

Vignesh Naidu has created this Calculator and 25+ more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has verified this Calculator and 50+ more calculators!

< 20 Magnetic Forces and Materials Calculators

Biot-Savart Equation

Go Magnetic Field Strength = int(Electric Current*x*sin(Theta)/(4*pi*(Perpendicular Distance^2)),x,0,Integral Path Length)

Retarded Vector Magnetic Potential

Go Retarded Vector Magnetic Potential = int((Magnetic Permeability of Medium*Amperes Circuital Current*x)/(4*pi*Perpendicular Distance),x,0,Length)

Biot-Savart Equation using Current Density

Go Magnetic Field Strength = int(Current Density*x*sin(Theta)/(4*pi*(Perpendicular Distance)^2),x,0,Volume)

Vector Magnetic Potential

Go Vector Magnetic Potential = int(([Permeability-vacuum]*Electric Current*x)/(4*pi*Perpendicular Distance),x,0,Integral Path Length)

Vector Magnetic Potential using Current Density

Go Vector Magnetic Potential = int(([Permeability-vacuum]*Current Density*x)/(4*pi*Perpendicular Distance),x,0,Volume)

Magnetic Force by Lorentz Force Equation

Go Magnetic force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Theta)))

Electric Potential in Magnetic Field

Go Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume)

Resistance of Cylindrical Conductor

Go Resistance of Cylindrical Conductor = Length of Cylindrical Conductor/(Electrical Conductivity*Cross Sectional Area of Cylindrical)

Magnetic Scalar Potential

Go Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit))

Current Flowing through N-Turn Coil

Go Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil

Magnetization using Magnetic Field Strength, and Magnetic Flux Density

Go Magnetization = (Magnetic Flux Density/[Permeability-vacuum])-Magnetic Field Strength

Magnetic Flux Density using Magnetic Field Strength, and Magnetization

Go Magnetic Flux Density = [Permeability-vacuum]*(Magnetic Field Strength+Magnetization)

Ampere's Circuital Equation

Go Amperes Circuital Current = int(Magnetic Field Strength*x,x,0,Integral Path Length)

Absolute Permeability using Relative Permeability and Permeability of Free Space

Go Absolute Permeability of Material = Relative Permeability of Material*[Permeability-vacuum]

Electromotive Force about Closed Path

Go Electromotive Force = int(Electric Field*x,x,0,Length)

Free Space Magnetic Flux Density

Go Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength

Net Bound Current

Go Net Bound Current = int(Magnetization,x,0,Length)

Internal Inductance of Long Straight Wire

Go Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi)

Magnetomotive Force given Reluctance and Magnetic Flux

Go Magnetomotive Voltage = Magnetic Flux*Reluctance

Magnetic Susceptibility using relative permeability

Go Magnetic Susceptibility = Magnetic Permeability-1

Net Bound Current Formula

Net Bound Current = int(Magnetization,x,0,Length)
I_B = int(M_em,x,0,L)

What is the Applications of Net Bound Current ?

1. Understanding magnetic properties of materials: Net bound current helps explain how materials like iron become magnetized when placed in an external magnetic field. The alignment of atomic dipoles creates a net current that strengthens the overall magnetic field.

2. Designing electromagnetic devices: In transformers and inductors, net bound current is crucial for understanding how a changing magnetic field induces a current in a conductor (electromagnetic induction). The net bound current within the core material opposes the change in the external magnetic field.

How to Calculate Net Bound Current?

Net Bound Current calculator uses Net Bound Current = int(Magnetization,x,0,Length) to calculate the Net Bound Current, The Net Bound Current formula is defined as the total current circulating within a closed loop due solely to the material's magnetization and it always cancels out on a macroscopic level (I_B = 0). Net Bound Current is denoted by I_B symbol.

How to calculate Net Bound Current using this online calculator? To use this online calculator for Net Bound Current, enter Magnetization (M_em) & Length (L) and hit the calculate button. Here is how the Net Bound Current calculation can be explained with given input values -> 4704.6 = int(1568.2,x,0,3).

FAQ

What is Net Bound Current?

The Net Bound Current formula is defined as the total current circulating within a closed loop due solely to the material's magnetization and it always cancels out on a macroscopic level (I_B = 0) and is represented as I_B = int(M_em,x,0,L) or Net Bound Current = int(Magnetization,x,0,Length). Magnetization is the process by which the magnetic moments of atoms or molecules within a material align in a specific direction, resulting in the material acquiring a net magnetic dipole moment & Length is the measurement or extent of something from end to end.

How to calculate Net Bound Current?

The Net Bound Current formula is defined as the total current circulating within a closed loop due solely to the material's magnetization and it always cancels out on a macroscopic level (I_B = 0) is calculated using Net Bound Current = int(Magnetization,x,0,Length). To calculate Net Bound Current, you need Magnetization (M_em) & Length (L). With our tool, you need to enter the respective value for Magnetization & Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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