Study Guide Concept Question on Magnetic Fields

In summary, a magnetic field is an invisible force field created by moving electric charges, which can be detected using a compass or other magnetic instruments. It has two main properties, strength and direction, and interacts with other magnetic fields by either attracting or repelling each other. Magnetic fields are used in various practical applications, such as powering electric motors, generating electricity, and in medical imaging.
  • #1
lookingforhlp
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Homework Statement


Why are magnetic forces not always conservative?

I came across this question and to my knowledge they are always conservative...can anyone explain why they wouldn't be?
 
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  • #2
one way do define a force is one for which the associated force field has zero curl, in other words if

[tex]\nabla \times B = 0[/tex]

then the magnetic force is conservative. but, if there are currents, then

[tex]\nabla \times B = \mu_o J[/tex]

and so the curl is non-zero and the force is not conservative.
 

Related to Study Guide Concept Question on Magnetic Fields

1. What is a magnetic field?

A magnetic field is an invisible force field that is created by moving electric charges. It is represented by lines of force that point in the direction of the field's strength and can be detected using a compass or other magnetic instruments.

2. How is a magnetic field created?

A magnetic field is created by moving electric charges. This can occur naturally in certain materials, such as iron, or it can be artificially induced by passing an electric current through a wire or coil.

3. What are the properties of a magnetic field?

A magnetic field has two main properties: strength and direction. The strength of a magnetic field is measured in units called gauss or tesla. The direction of a magnetic field is determined by the orientation of the lines of force, which always point from the north pole to the south pole.

4. How do magnetic fields interact with each other?

When two magnetic fields come in contact, they can either attract or repel each other depending on the orientation of their poles. Like poles (north to north or south to south) will repel each other, while opposite poles (north to south or south to north) will attract each other.

5. How are magnetic fields used in everyday life?

Magnetic fields have many practical applications in our daily lives. Some common examples include: powering electric motors, generating electricity in power plants, guiding compasses, and storing data on hard drives. They are also used in medical imaging technologies, such as MRI machines, and in various industrial processes.

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