Electric Potential in Magnetic Field Calculator

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✖Volume Charge Density signifies the amount of electric charge per unit volume within the material.ⓘ Volume Charge Density [ρ_v]			+10% -10%
✖Permittivity is the ability of a material to store electrical potential energy.ⓘ Permittivity [ε]			+10% -10%
✖Perpendicular Distance is the distance from the current element dl to the point where you're calculating the magnetic field.ⓘ Perpendicular Distance [r]			+10% -10%
✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V_T]			+10% -10%

✖Electric Potential it signifies the amount of potential energy per unit charge at a specific point in the electric field and also known as voltage.ⓘ Electric Potential in Magnetic Field [V]

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Formula

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Electric Potential in Magnetic Field

Formula

`"V" = int(("ρ"_{"v"}*x)/(4*pi*"ε"*"r"),x,0,"V"_{"T"})`

Example

`"0.691289V"=int(("6.785C/m³"*x)/(4*pi*"5"*"0.031"),x,0,"0.63m³")`

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Electric Potential in Magnetic Field Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume)
V = int((ρ_v*x)/(4*pi*ε*r),x,0,V_T)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Electric Potential - (Measured in Volt) - Electric Potential it signifies the amount of potential energy per unit charge at a specific point in the electric field and also known as voltage.
Volume Charge Density - (Measured in Coulomb per Cubic Meter) - Volume Charge Density signifies the amount of electric charge per unit volume within the material.
Permittivity - Permittivity is the ability of a material to store electrical potential energy.
Perpendicular Distance - Perpendicular Distance is the distance from the current element dl to the point where you're calculating the magnetic field.
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.

STEP 1: Convert Input(s) to Base Unit

Volume Charge Density: 6.785 Coulomb per Cubic Meter --> 6.785 Coulomb per Cubic Meter No Conversion Required
Permittivity: 5 --> No Conversion Required
Perpendicular Distance: 0.031 --> No Conversion Required
Volume: 0.63 Cubic Meter --> 0.63 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = int((ρ_v*x)/(4*pi*ε*r),x,0,V_T) --> int((6.785*x)/(4*pi*5*0.031),x,0,0.63)

Evaluating ... ...

V = 0.691288596864324

STEP 3: Convert Result to Output's Unit

0.691288596864324 Volt --> No Conversion Required

FINAL ANSWER

0.691288596864324 ≈ 0.691289 Volt <-- Electric Potential

(Calculation completed in 00.004 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

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< 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

Electric Potential in Magnetic Field Formula

Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume)
V = int((ρ_v*x)/(4*pi*ε*r),x,0,V_T)

What are the Applications of Electric Potential in Magnetic Field ?

Applications of Electric Potential in Magnetic Field includes:
When a magnetic field changes with time, it can induce an electric field according to Faraday's law of induction.
In this situation, the electric potential can be used to understand the energy transfer within the system. The electric potential difference (voltage) would be related to the strength and rate of change of the magnetic field.

How to Calculate Electric Potential in Magnetic Field?

Electric Potential in Magnetic Field calculator uses Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume) to calculate the Electric Potential, The Electric Potential in Magnetic Field formula gives the measure of electric charge per unit volume within a material, it signifies how much electric charge is packed into a specific three-dimensional space. Electric Potential is denoted by V symbol.

How to calculate Electric Potential in Magnetic Field using this online calculator? To use this online calculator for Electric Potential in Magnetic Field, enter Volume Charge Density (ρ_v), Permittivity (ε), Perpendicular Distance (r) & Volume (V_T) and hit the calculate button. Here is how the Electric Potential in Magnetic Field calculation can be explained with given input values -> 0.691289 = int((6.785*x)/(4*pi*5*0.031),x,0,0.63).

FAQ

What is Electric Potential in Magnetic Field?

The Electric Potential in Magnetic Field formula gives the measure of electric charge per unit volume within a material, it signifies how much electric charge is packed into a specific three-dimensional space and is represented as V = int((ρ_v*x)/(4*pi*ε*r),x,0,V_T) or Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume). Volume Charge Density signifies the amount of electric charge per unit volume within the material, Permittivity is the ability of a material to store electrical potential energy, Perpendicular Distance is the distance from the current element dl to the point where you're calculating the magnetic field & Volume is the amount of space that a substance or object occupies or that is enclosed within a container.

How to calculate Electric Potential in Magnetic Field?

The Electric Potential in Magnetic Field formula gives the measure of electric charge per unit volume within a material, it signifies how much electric charge is packed into a specific three-dimensional space is calculated using Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume). To calculate Electric Potential in Magnetic Field, you need Volume Charge Density (ρ_v), Permittivity (ε), Perpendicular Distance (r) & Volume (V_T). With our tool, you need to enter the respective value for Volume Charge Density, Permittivity, Perpendicular Distance & Volume 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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