The components of a velocity field V are given by the expressions
Vx = -r/2π y/(x-3)² +y² ,
Vy = r/2π x-3/(x-3)²+y² ,
where I is a known constant.
A. Find the circulation Sc V•dl for the following two cases.
a. The enclosed curve is a square with vertices (-1,1),(-1,-1), (1,-1), and (1,1).
b. The enclosed curve is a circle, whose center is (3,0) and whose radius is 1.