Magnetic Scalar Potential Calculator

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✖Magnetic Field Strength, denoted by the symbol H, is a measure of the intensity of a magnetic field within a material or a region of space.ⓘ Magnetic Field Strength [H_o]			+10% -10%
✖Upper limit refers to the higher endpoint in a specified range when calculating a function.ⓘ Upper Limit [U]			+10% -10%
✖Lower limit is one of the numbers that defines the range for calculating the definite of a function.ⓘ Lower Limit [L]			+10% -10%

✖Magnetic Scalar Potential is a mathematical tool in electromagnetism, similar to electric potential and it helps describe the magnetic field.ⓘ Magnetic Scalar Potential [V_m]

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Formula

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Magnetic Scalar Potential

Formula

`"V"_{"m"} = -(int("H"_{"o"}*x,x,"U","L"))`

Example

`"18.9A"=-(int("1.8A/m"*x,x,"5","2"))`

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Magnetic Scalar Potential Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit))
V_m = -(int(H_o*x,x,U,L))
This formula uses 1 Functions, 4 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

Magnetic Scalar Potential - (Measured in Ampere) - Magnetic Scalar Potential is a mathematical tool in electromagnetism, similar to electric potential and it helps describe the magnetic field.
Magnetic Field Strength - (Measured in Ampere per Meter) - Magnetic Field Strength, denoted by the symbol H, is a measure of the intensity of a magnetic field within a material or a region of space.
Upper Limit - Upper limit refers to the higher endpoint in a specified range when calculating a function.
Lower Limit - Lower limit is one of the numbers that defines the range for calculating the definite of a function.

STEP 1: Convert Input(s) to Base Unit

Magnetic Field Strength: 1.8 Ampere per Meter --> 1.8 Ampere per Meter No Conversion Required
Upper Limit: 5 --> No Conversion Required
Lower Limit: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = -(int(H_o*x,x,U,L)) --> -(int(1.8*x,x,5,2))

Evaluating ... ...

V_m = 18.9

STEP 3: Convert Result to Output's Unit

18.9 Ampere --> No Conversion Required

FINAL ANSWER

18.9 Ampere <-- Magnetic Scalar Potential

(Calculation completed in 00.004 seconds)

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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

Magnetic Scalar Potential Formula

Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit))
V_m = -(int(H_o*x,x,U,L))

What are the Applications of Magnetic Scalar Potential ?

1. Magnetic Field Analysis of Permanent Magnets:
Vm is particularly useful for analyzing the magnetic field generated by permanent magnets. Since permanent magnets have a fixed magnetization and no currents, Vm simplifies the calculations and helps visualize the field distribution.

2. Certain Electromagnetic Simulations:
In some numerical simulations involving electromagnetism, Vm can be used alongside other potentials (like electric scalar potential) to solve for both electric and magnetic fields efficiently, especially when dealing with specific boundary conditions.

How to Calculate Magnetic Scalar Potential?

Magnetic Scalar Potential calculator uses Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit)) to calculate the Magnetic Scalar Potential, The Magnetic Scalar Potential formula is defined as a mathematical tool in electromagnetism, similar to electric potential and it helps describe the magnetic field in regions with no electric currents (J = 0). Magnetic Scalar Potential is denoted by V_m symbol.

How to calculate Magnetic Scalar Potential using this online calculator? To use this online calculator for Magnetic Scalar Potential, enter Magnetic Field Strength (H_o), Upper Limit (U) & Lower Limit (L) and hit the calculate button. Here is how the Magnetic Scalar Potential calculation can be explained with given input values -> 18.9 = -(int(1.8*x,x,5,2)).

FAQ

What is Magnetic Scalar Potential?

The Magnetic Scalar Potential formula is defined as a mathematical tool in electromagnetism, similar to electric potential and it helps describe the magnetic field in regions with no electric currents (J = 0) and is represented as V_m = -(int(H_o*x,x,U,L)) or Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit)). Magnetic Field Strength, denoted by the symbol H, is a measure of the intensity of a magnetic field within a material or a region of space, Upper limit refers to the higher endpoint in a specified range when calculating a function & Lower limit is one of the numbers that defines the range for calculating the definite of a function.

How to calculate Magnetic Scalar Potential?

The Magnetic Scalar Potential formula is defined as a mathematical tool in electromagnetism, similar to electric potential and it helps describe the magnetic field in regions with no electric currents (J = 0) is calculated using Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit)). To calculate Magnetic Scalar Potential, you need Magnetic Field Strength (H_o), Upper Limit (U) & Lower Limit (L). With our tool, you need to enter the respective value for Magnetic Field Strength, Upper Limit & Lower Limit 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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