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Potência<br />
p = v . i v = Vm . sen (w.t + θ )<br />
i = Im . sen (w.t )<br />
p = Vm . Im . sen ( w.t + θ ) . sen ( w.t )<br />
p =<br />
p =<br />
vm.<br />
im<br />
2<br />
v<br />
m m I<br />
2<br />
( cosθ - cos ( 2wt + θ )<br />
2<br />
1<br />
senA . senB = (cos (A – B ) – cos (A + B ))<br />
2<br />
( cosθ - cos ( 2wt + θ )<br />
p = V.I.cosθ - V.I.cos ( 2wt + θ )<br />
potência média<br />
potência instantânea<br />
P = V.I.cosθ potência ativa (w )<br />
Q = V.I.senθ potência reativa (VAr )<br />
cos ( x + y ) = cosx . cosy – senx . seny<br />
cos (2.w.t + θ ) = cos2wt . cosθ - sen2wt . senθ<br />
V.I . (cosθ - cos2wt . cosθ - sen2wt . senθ )<br />
V.I . ( cosθ ( 1 – cos2wt ) - senθ . sen2wt )<br />
p/<br />
P = V.I.cosθ<br />
e <strong>de</strong>finido<br />
∆<br />
Q = V.I.senθ<br />
pa ( t ) = P (1 – cos2.w.t ) – Q.sen2.w.t<br />
sen2wt =<br />
S<br />
θ<br />
P<br />
− j(<br />
e<br />
− e<br />
2<br />
Q<br />
j2<br />
wt − j 2wt<br />
)