Its value depends on the curve, velocity of the fluid on the curve, and the direction (e.g., clockwise or counterclockwise) in which the curve is traversed. Stokes’ theorem 4 makes the connection betw...Its value depends on the curve, velocity of the fluid on the curve, and the direction (e.g., clockwise or counterclockwise) in which the curve is traversed. Stokes’ theorem 4 makes the connection between the circulation around a curve and the vorticity within the curve. Referring back to Equation ???, we see that the quantity in parentheses is the z-component of the vorticity, so taking the limit Δ→0 we have
Curl is an operation, which when applied to a vector field, quantifies the circulation of that field. The concept of circulation has several applications in electromagnetics.
