Vector Potential: Analyzing the Lines of Force & B Direction

[Reshma]

The vector potential (A) in a certain region is given by A = xj-yi where i and j are unit vectors.

How will the lines of force look like?

What is the direction of magnetic induction B in the given region of space?

 

[dextercioby]

How about computing the curl and setting it equal to B?

Daniel.

 

[Reshma]

Can please you explain me how you do that? Can you point out to me a chapter in Griffith's book which might help?

 

[dextercioby]

Yes,it surely is the one in which this pops up

\vec{B}=\nabla\times \vec{A}

Daniel.

 

[Reshma]

Yes, but how does it explain the lines of force?

 

[dextercioby]

Find the vector fields,its components and then u know that this vector field is always tangent to its lines of force...

Daniel.

 

[Reshma]

OK, thanks for the help :-)