Magnetic and Electric Fields - Theory

[starless.aeon]

Homework Statement

If the magnetic field lines held within a closed path are constant and unchanging, will there be an electric field along the closed path?

Homework Equations

there are none.

The Attempt at a Solution

No. If it is unchanging, then no electrical energy will be radiated into the surroundings, therefore rendering it impossible for an electric field.


I just need a confirmation of my answer - I'm not really sure about all this closed path business.

Thanks in advance.

 

[LowlyPion]

And if there is an unchanging stationary charge along the way?

 

[nlightner]

Your answer is correct. If the magnetic field lines are constant and unchanging, there will be no change in the flux of the magnetic field and therefore no induced electric field. This is known as Faraday's law of induction, which states that a changing magnetic field induces an electric field. Since there is no change in the magnetic field, there will be no induced electric field. This is true for any closed path, as long as the magnetic field remains constant.