How is Energy Stored in a Magnetic Field?

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SUMMARY

The discussion focuses on how energy is stored in a magnetic field, specifically through the relationship defined by the equation U = (1/2)∫H·B dv. It emphasizes that the energy stored in a magnetic field is equivalent to the work done in creating that field, often referred to as W (work). The conversation also touches on the role of inductors in storing this energy and raises questions about the utilization of energy stored in magnetic fields.

PREREQUISITES
  • Understanding of electromagnetic fields
  • Familiarity with the concept of inductors
  • Knowledge of the mathematical representation of energy storage
  • Basic principles of work and energy in physics
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  • Research the mathematical derivation of U = (1/2)∫H·B dv
  • Explore the function and applications of inductors in electrical circuits
  • Learn about energy transfer mechanisms in magnetic fields
  • Investigate practical applications of magnetic energy storage systems
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Physicists, electrical engineers, and students studying electromagnetism or energy storage technologies will benefit from this discussion.

FizixFreak
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i know how can energy be stored in an object in a gravitational or electric field simply by working on the charge or mass agianst the respective field but how can energy be stored in a megnatic field i mean how would that be explained hypothatically ?
 
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The fields that you mentioned are a form of stored energy, that is, it takes energy to create a gravitational or electric field in the first place. The same is true for a magnetic field. The energy stored in a magnetic field is

[tex]U=\frac{1}{2}\int\vec{H}\cdot\vec{B}dv[/tex]

To drive home the point that the stored energy is the same as the work expended in creating the field, you'll often see this quantity called W (work) instead of U (energy).
 
marcusl said:
The fields that you mentioned are a form of stored energy, that is, it takes energy to create a gravitational or electric field in the first place. The same is true for a magnetic field. The energy stored in a magnetic field is

[tex]U=\frac{1}{2}\int\vec{H}\cdot\vec{B}dv[/tex]

To drive home the point that the stored energy is the same as the work expended in creating the field, you'll often see this quantity called W (work) instead of U (energy).

so basically the work done to establish the megnatic field is stored in the inductor right but how is that energy utilized ??
 

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