In this case, dl is not representative of a direction of the path of travel. dl is defines as a small infinitesimal unit vector in the generalized x-y-z direction.
If I remember correctly (college was a long time ago) if I take the curl of the vector field, if the curl is non-zero, the field is not conservative. If the curl is zero, the field is conservative.....?
The name "curl" indicates a measure of the "circulation" of the vector field. If the curl is zero, then that indicates that the vector field exhibits no circulation (like the electric field emanating from a point charge).
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Hi sir, Omar present...............................
Is the line segment dl and the Vector field parallel and theta is 0 thus cos theta = o? it doesn't look so !!
In this case, dl is not representative of a direction of the path of travel. dl is defines as a small infinitesimal unit vector in the generalized x-y-z direction.
sir, that means that we use the line integral to test weather the field is conservative or not! am i right!
If the vector field is conservative the line integral will be path indpendent.
If I remember correctly (college was a long time ago) if I take the curl of the vector field, if the curl is non-zero, the field is not conservative. If the curl is zero, the field is conservative.....?
The name "curl" indicates a measure of the "circulation" of the vector field. If the curl is zero, then that indicates that the vector field exhibits no circulation (like the electric field emanating from a point charge).