## 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((ρv*x)/(4*pi*ε*r),x,0,VT)
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((ρv*x)/(4*pi*ε*r),x,0,VT) --> 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
0.691288596864324 0.691289 Volt <-- Electric Potential
(Calculation completed in 00.004 seconds)
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## Credits

Created by Vignesh Naidu
Vellore Institute of Technology (VIT), Vellore,Tamil Nadu
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## < 20 Magnetic Forces and Materials Calculators

Biot-Savart Equation
Magnetic Field Strength = int(Electric Current*x*sin(Theta)/(4*pi*(Perpendicular Distance^2)),x,0,Integral Path Length)
Retarded Vector Magnetic Potential
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
Magnetic Field Strength = int(Current Density*x*sin(Theta)/(4*pi*(Perpendicular Distance)^2),x,0,Volume)
Vector Magnetic Potential
Vector Magnetic Potential = int(([Permeability-vacuum]*Electric Current*x)/(4*pi*Perpendicular Distance),x,0,Integral Path Length)
Vector Magnetic Potential using Current Density
Vector Magnetic Potential = int(([Permeability-vacuum]*Current Density*x)/(4*pi*Perpendicular Distance),x,0,Volume)
Magnetic Force by Lorentz Force Equation
Magnetic force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Theta)))
Electric Potential in Magnetic Field
Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume)
Resistance of Cylindrical Conductor
Resistance of Cylindrical Conductor = Length of Cylindrical Conductor/(Electrical Conductivity*Cross Sectional Area of Cylindrical)
Magnetic Scalar Potential
Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit))
Current Flowing through N-Turn Coil
Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil
Magnetization using Magnetic Field Strength, and Magnetic Flux Density
Magnetization = (Magnetic Flux Density/[Permeability-vacuum])-Magnetic Field Strength
Magnetic Flux Density using Magnetic Field Strength, and Magnetization
Magnetic Flux Density = [Permeability-vacuum]*(Magnetic Field Strength+Magnetization)
Ampere's Circuital Equation
Amperes Circuital Current = int(Magnetic Field Strength*x,x,0,Integral Path Length)
Absolute Permeability using Relative Permeability and Permeability of Free Space
Absolute Permeability of Material = Relative Permeability of Material*[Permeability-vacuum]
Electromotive Force = int(Electric Field*x,x,0,Length)
Free Space Magnetic Flux Density
Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength
Net Bound Current
Net Bound Current = int(Magnetization,x,0,Length)
Internal Inductance of Long Straight Wire
Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi)
Magnetomotive Force given Reluctance and Magnetic Flux
Magnetomotive Voltage = Magnetic Flux*Reluctance
Magnetic Susceptibility using relative permeability
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((ρv*x)/(4*pi*ε*r),x,0,VT)

## 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 v), Permittivity (ε), Perpendicular Distance (r) & Volume (VT) 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((ρv*x)/(4*pi*ε*r),x,0,VT) 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 v), Permittivity (ε), Perpendicular Distance (r) & Volume (VT). 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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