What Is the Energy of a 1m Magnetic Field with 1T Strength?

In summary, the conversation is discussing the calculation of energy contained in a magnetic field with a length of 1m and strength of 1T. The speaker is unsure of how to calculate this and suggests using the formula F=-dU/dx. The other speaker questions the validity of the question and clarifies that it is about a magnetic loop and finding the energy it can contain.
  • #1
pivoxa15
2,255
1

Homework Statement


If a magnetic field has length 1m and strength 1T. What is its energy contained in it?


The Attempt at a Solution


I have no idea as I only know how to calculate energy from a volume basis.
 
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  • #2
[tex]F=\frac{-dU}{dx}[/tex], If you solve for U, you get your general expression and plug in the values there.
 
  • #3
pivoxa15 said:

Homework Statement


If a magnetic field has length 1m and strength 1T. What is its energy contained in it?
This question looks nonsensical. Did you write it down exactly as it was given to you? Where is this from?
 
  • #4
The question was about the magnetic prominence which is a magnetic loop. I just simplified the data but its about a magnetic loop and finding how much energy it can contain.
 

FAQ: What Is the Energy of a 1m Magnetic Field with 1T Strength?

What is a magnetic field?

A magnetic field is an invisible force field that surrounds a magnet or a current-carrying wire. It is created by moving electric charges and has both strength and direction.

How does a magnetic field store energy?

A magnetic field stores energy in the form of potential energy, which is the energy that a magnet or magnetic material has due to its position in the magnetic field. This energy is released when the magnetic field changes or moves, such as in the case of electromagnetic induction.

What is the relationship between magnetic field and electric current?

Magnetic fields and electric currents are closely related. A magnetic field is produced by the movement of electric charges, and an electric current is the flow of these charges. In fact, the two are so closely related that a changing magnetic field can induce an electric current, and an electric current can also produce a magnetic field.

How is the strength of a magnetic field measured?

The strength of a magnetic field is measured in units of Tesla (T) or Gauss (G). One Tesla is equal to 10,000 Gauss. The strength of a magnetic field can be measured using a device called a magnetometer.

What are some practical applications of magnetic field and its energy?

The magnetic field and its energy have a wide range of practical applications. Some examples include electric motors, generators, MRI machines, magnetic levitation trains, and particle accelerators. Magnets are also used in everyday objects such as speakers, hard drives, credit cards, and refrigerator doors.

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