Net Bound Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Net Bound Current = int(Magnetization,x,0,Length)
IB = int(Mem,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
IB = int(Mem,x,0,L) --> int(1568.2,x,0,3)
Evaluating ... ...
IB = 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)

Credits

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)
IB = int(Mem,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 (IB = 0). Net Bound Current is denoted by IB symbol.

How to calculate Net Bound Current using this online calculator? To use this online calculator for Net Bound Current, enter Magnetization (Mem) & 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 (IB = 0) and is represented as IB = int(Mem,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 (IB = 0) is calculated using Net Bound Current = int(Magnetization,x,0,Length). To calculate Net Bound Current, you need Magnetization (Mem) & 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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