Magnetic Field Theory

Problem :

Find the divergence and curl of the vector field F = (2y, 2x + 3z, 3y) .

Solution for Problem 1 >>

Both are simple calculations. We start with the divergence:

= (2y) + (2x + 3z) + (3y) = 0

Now the curl:

	=	(3y) - (2x + 3z),(2y) - (3y),(2x + 3z) - (2y)
	=	(0, 0, 0)

It just so happens that both div and curl are zero.

Close

Problem :

Refer to the last problem. What is the surface integral over any closed surface in the field? What is the line integral over any closed loop?