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Let F(x,y) = M(x, y) it N(r, y) ; be an arbitrary vector field on the r-y plane. Let C be a closed curve connected
Let F(x,y) = M(x, y) it N(r, y) ; be an arbitrary vector field on the r-y plane. Let C be a closed curve connected by four line segments: (a, b) to (a + Ax, b), (a+ Ar, b) to (a+ Ar, b+Ay), (a+Ar, b+Ay) to (a, b+Ay), and (a, b+Ay) to (a, b), in counterclockwise direction. Here, a, b, Ar and Ay are constants, with Ar and Ay being positive. (a) Find the circulation of the vector field along the curve. (b) Find the flux of the vector field across the curve
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