Vector potential

1. Jan 29, 2005

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?

2. Jan 29, 2005

dextercioby

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

Daniel.

3. Jan 29, 2005

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?

4. Jan 29, 2005

dextercioby

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

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

Daniel.

5. Jan 29, 2005

Reshma

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

6. Jan 29, 2005

dextercioby

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

Daniel.

7. Jan 29, 2005

Reshma

OK, thanks for the help :-)