Curl Of a Vector Field (Curl A) - Definition, Significance and Solved Examples.
Circulation of a vector field A around a closed path L is defined as: Mathematically Curl of a vector A is defined as: Where the area Δ S is bounded by the curve L and the unit vector a n is the unit vector normal to the surface. - The direction of the curl is the axis of rotation , as determined by the right hand thumb rule and the magnitude of the curl is the magnitude of rotation. - From the above relation we can define Curl as the maximum circulation per unit area. - The curl of a vector field provides another vector field that indicates rotational sources of the original vector field. - Curl is a measurement of the circulation of vector field A around a particular point. - If there’s a paper boat in a whirlpool, the circulation would be the amount of force that pushed it along as it went in a circle. The more circulation , the more pushing force you have. - Consider a closed loop counter C. The circulation will be positive if a compone...