## Energy Stored in Magnetic Field Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2)
E = B/(μ^2)
This formula uses 3 Variables
Variables Used
Energy - (Measured in Joule) - Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.
Magnetic Flux Density - (Measured in Tesla) - Magnetic Flux Density is amount of magnetic flux through unit area taken perpendicular to direction of magnetic flux.
Magnetic Permeability of a Medium - (Measured in Henry per Meter) - Magnetic Permeability of a medium is the measure of magnetization that a material obtains in response to an applied magnetic field.
STEP 1: Convert Input(s) to Base Unit
Magnetic Flux Density: 0.019 Tesla --> 0.019 Tesla No Conversion Required
Magnetic Permeability of a Medium: 0.02 Henry per Meter --> 0.02 Henry per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = B/(μ^2) --> 0.019/(0.02^2)
Evaluating ... ...
E = 47.5
STEP 3: Convert Result to Output's Unit
47.5 Joule --> No Conversion Required
FINAL ANSWER
47.5 Joule <-- Energy
(Calculation completed in 00.016 seconds)
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## Credits

Created by Parminder Singh
Chandigarh University (CU), Punjab
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Verified by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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## < 23 Basics of Magnetism Calculators

Mutual Inductance
Mutual Inductance = [Permeability-vacuum]*Relative Permeability*Area of Coil*Number of Conductors*Secondary Turns of Coil/Mean Length
Magnetic Potential
Magnetic Potential = (Magnetic Moment)/(4*pi*[Permeability-vacuum]*Relative Permeability*Pole Distance)
Flux Density in Toroidal Core
Magnetic Flux Density = (Relative Permeability*Secondary Turns of Coil*Current)/(pi*Inner Diameter)
Forces on Charges Moving in Magnetic Fields
Force = [Charge-e]*Charge Velocity*Magnetic Flux Density*(sin(Angle between Vectors))
Forces on Current Carrying Wires
Force = Magnetic Flux Density*Current*Length of Conductor*sin(Angle between Vectors)
Average Hysteresis Power Loss
Hysteresis Loss = Hysteresis Constant*Frequency*(Magnetic Flux Density)^Steinmetz Coefficient
Minimum Frequency to avoid Saturation
Frequency = Peak Voltage/(2*pi*Secondary Turns of Coil*Area of Coil)
Reluctance
Reluctance = Mean Length/(Magnetic Permeability of a Medium*Area of Coil)
Voltages Induced in Field Cutting Conductors
Voltage = Magnetic Flux Density*Length of Conductor*Charge Velocity
Percent Voltage Regulation
Percentage Regulation = ((No Load Voltage-Voltage)/Voltage)*100
Self Inductance
Self Inductance = (Number of Conductors*Magnetic Flux)/Current
Magnetic Flux Density using Magnetic Field Intensity
Magnetic Flux Density = Magnetic Permeability of a Medium*Magnetic Field Intensity
Magnetic Susceptibility
Magnetic Susceptibility = Intensity of Magnetization/Magnetic Field Intensity
Energy Stored in Magnetic Field
Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2)
Intensity of Magnetization
Intensity of Magnetization = Magnetic Moment/Volume
Magnetic Flux using Flux Density
Magnetic Flux = Magnetic Flux Density*Area of Coil
Magnetic Flux Density
Magnetic Flux Density = Magnetic Flux/Area of Coil
Magnetic Field Strength
Magnetic Field Strength = Force/Magnetic Moment
Magnetic Flux in Core
Magnetic Flux = Magnetomotive Force/Reluctance
Area of Ring
Area of Coil = (pi*Inner Diameter^2)/4
Mean Diameter
Mean Diameter = Mean Length/pi
Mean Length
Mean Length = pi*Mean Diameter
Permeance
Magnetic Permeance = 1/Reluctance

## Energy Stored in Magnetic Field Formula

Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2)
E = B/(μ^2)

## How is energy stored?

Energy can be neither created nor destroyed but only changed from one form to another. This principle is known as the conservation of energy or the first law of thermodynamics. For example, when a box slides down a hill, the potential energy that the box has from being located high up on the slope is converted to kinetic energy, energy of motion. As the box slows to a stop through friction, the kinetic energy from the box’s motion is converted to thermal energy that heats the box and the slope.

## How to Calculate Energy Stored in Magnetic Field?

Energy Stored in Magnetic Field calculator uses Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2) to calculate the Energy, The Energy Stored in Magnetic Field formula is defined as magnetic material or a moving electric charge where the force of magnetism acts. Therefore, When a material is magnetized, it absorbs energy. This energy is stored in the magnet's field. Energy is denoted by E symbol.

How to calculate Energy Stored in Magnetic Field using this online calculator? To use this online calculator for Energy Stored in Magnetic Field, enter Magnetic Flux Density (B) & Magnetic Permeability of a Medium (μ) and hit the calculate button. Here is how the Energy Stored in Magnetic Field calculation can be explained with given input values -> 47.5 = 0.019/(0.02^2).

### FAQ

What is Energy Stored in Magnetic Field?
The Energy Stored in Magnetic Field formula is defined as magnetic material or a moving electric charge where the force of magnetism acts. Therefore, When a material is magnetized, it absorbs energy. This energy is stored in the magnet's field and is represented as E = B/(μ^2) or Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2). Magnetic Flux Density is amount of magnetic flux through unit area taken perpendicular to direction of magnetic flux & Magnetic Permeability of a medium is the measure of magnetization that a material obtains in response to an applied magnetic field.
How to calculate Energy Stored in Magnetic Field?
The Energy Stored in Magnetic Field formula is defined as magnetic material or a moving electric charge where the force of magnetism acts. Therefore, When a material is magnetized, it absorbs energy. This energy is stored in the magnet's field is calculated using Energy = Magnetic Flux Density/(Magnetic Permeability of a Medium^2). To calculate Energy Stored in Magnetic Field, you need Magnetic Flux Density (B) & Magnetic Permeability of a Medium (μ). With our tool, you need to enter the respective value for Magnetic Flux Density & Magnetic Permeability of a Medium 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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