A current in the
z
-direction passes through a rectangular loop in the
xy
-plane with corners located at the coordinate (
{:a_(1),b_(1)),(a_(1),b_(2)),(a_(2),b_(1))
and
(a_(2),b_(2))
as drawn below. If this current induces a magnetic field given by
vec(B)(x,y)=C[((x)/(y^(2)))(hat(i))+((1)/(y))(hat(j))]dots
Problem: Write an expression for the current
I(x,y)
through the loop.