4. Circuito RLC em paralelo
ε (t ) = ε m sen(ωt ) i (t ) = im sen(ωt + ϕ )
Lei dos nós: i (t ) = iR (t ) + iC (t ) + iL (t )
εm
VR (t ) = RiR (t ) = ε m senωt iR (t ) = senωt
R
VC (t ) =
q C (t ) dqC
= ε m senωt qC (t ) = Cε m senωt iC (t ) = = ωCε m cos ωt
C dt
diL (t ) ε m εm εm
VL (t ) = L
diL (t )
= ε m senωt = senωt iL (t ) = ∫ senωtdt = − cos ωt
dt dt L L ωL
εm εm π εm π
iR (t ) = senωt iC (t ) = sen ωt + iL (t ) = sen ωt −
R XC 2 XL 2
5. εm εm π εm π
iR (t ) = senωt iC (t ) = sen ωt + iL (t ) = sen ωt −
R XC 2 XL 2
+ (iCm − iLm )
2
im = i
2
2
1 1 1
Rm im = ε m 2
+
−
R XC X L
−1 / 2
εm 1 1 1
2
im = ⇒Z = + −
Z R2 X C X L
εm 1X − 1X
iCm − iLm L 1 1
tgϕ = = C
= R
−
iRm εm XC X L
R