Energy Density of Magnetic Field Calculator

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Electromagnetic Induction

Capacitor

Electrostatics

Magnetic Field due to Current

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Energy

Basics of Electromagentic Induction

Impedance

Phase Shift

✖Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.ⓘ Magnetic Field [B]			+10% -10%
✖Magnetic Permeability of Medium is the measure of magnetization that a material obtains in response to an applied magnetic field.ⓘ Magnetic Permeability of Medium [μ]			+10% -10%

✖Energy Density is the amount of energy stored in a given system or region of space per unit volume.ⓘ Energy Density of Magnetic Field [U]

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Formula

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Energy Density of Magnetic Field

Formula

`"U" = ("B"^2)/(2*"μ")`

Example

`"156.25J"=(("2.5Wb/m²")^2)/(2*"0.02H/m")`

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Energy Density of Magnetic Field Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Density = (Magnetic Field^2)/(2*Magnetic Permeability of Medium)
U = (B^2)/(2*μ)
This formula uses 3 Variables

Variables Used

Energy Density - (Measured in Joule) - Energy Density is the amount of energy stored in a given system or region of space per unit volume.
Magnetic Field - (Measured in Tesla) - Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.
Magnetic Permeability of Medium - (Measured in Henry per Meter) - Magnetic Permeability of 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 Field: 2.5 Weber per Square Meter --> 2.5 Tesla (Check conversion here)
Magnetic Permeability of Medium: 0.02 Henry per Meter --> 0.02 Henry per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = (B^2)/(2*μ) --> (2.5^2)/(2*0.02)

Evaluating ... ...

U = 156.25

STEP 3: Convert Result to Output's Unit

156.25 Joule --> No Conversion Required

FINAL ANSWER

156.25 Joule <-- Energy Density

(Calculation completed in 00.004 seconds)

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Created by Keshav Vyas

Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat

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< 3 Energy Calculators

Energy of RMS Current

Go RMS Energy = Electric Current^2*Resistance*Time

Energy Density of Magnetic Field

Go Energy Density = (Magnetic Field^2)/(2*Magnetic Permeability of Medium)

Energy Stored in Inductor

Go Energy Stored in Inductor = 0.5*Inductance*Electric Current^2

Energy Density of Magnetic Field Formula

Energy Density = (Magnetic Field^2)/(2*Magnetic Permeability of Medium)
U = (B^2)/(2*μ)

what is the unit of energy density?

Energy density is the energy per volume or amount of energy that can be stored in a given mass of a substance or a system., the unit of energy density is Joules per meter cube

How to Calculate Energy Density of Magnetic Field?

Energy Density of Magnetic Field calculator uses Energy Density = (Magnetic Field^2)/(2*Magnetic Permeability of Medium) to calculate the Energy Density, The Energy Density of Magnetic Field formula is defined as the computation of the amount of energy that can be stored in a given mass of a substance or a system. Energy Density is denoted by U symbol.

How to calculate Energy Density of Magnetic Field using this online calculator? To use this online calculator for Energy Density of Magnetic Field, enter Magnetic Field (B) & Magnetic Permeability of Medium (μ) and hit the calculate button. Here is how the Energy Density of Magnetic Field calculation can be explained with given input values -> 156.25 = (2.5^2)/(2*0.02).

FAQ

What is Energy Density of Magnetic Field?

The Energy Density of Magnetic Field formula is defined as the computation of the amount of energy that can be stored in a given mass of a substance or a system and is represented as U = (B^2)/(2*μ) or Energy Density = (Magnetic Field^2)/(2*Magnetic Permeability of Medium). Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits & Magnetic Permeability of Medium is the measure of magnetization that a material obtains in response to an applied magnetic field.

How to calculate Energy Density of Magnetic Field?

The Energy Density of Magnetic Field formula is defined as the computation of the amount of energy that can be stored in a given mass of a substance or a system is calculated using Energy Density = (Magnetic Field^2)/(2*Magnetic Permeability of Medium). To calculate Energy Density of Magnetic Field, you need Magnetic Field (B) & Magnetic Permeability of Medium (μ). With our tool, you need to enter the respective value for Magnetic Field & Magnetic Permeability of 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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