CALC 3 Flashcards
curl (F)
gx-fy
rotation is measured by
curl
source is measured by
divergence
divergence (F)=
fx+gy
F is irrotational if
curl = 0
F is source free if
divergence = 0
what are the components needed for Green’s theorem
-closed curve
-anti-clockwise
in Green’s theorem circulation =
curl
in Green’s theorem flux=
divergence
radial field
arrows point outwards, fx and gy >0
del operator dot F=
fx+gy+hz
divergence of F=
del operator dot F
rotation: where variable= 0…
the curl rotates around that corresponding variables axis
curl (F)=
(hy-gz, fz-hx, gx-fy) <—- got from cross product of del operator and F
radial curve has no curl so =
zero
on a rotational curve the curl is always a…
constant
a surface is oriented if…
-n points outwards if surface is closed
-n points upwards if surface is not closed
if surface is the opposite of oriented conditions…
just reverse the sign of n
