Z = 3� 4j

Z = 5\�

� = atan(�43 ) = �0,93

I =V

Z

I =30

5\�

FP =Re(Z)

|Z|

FP =3

5

FP = 0,6

200p3

80p3

130p3

120p3

0,4

0,5p2/2

p3/2

p3

P

total

= P1 + P2 + P3 + P4 = 530

Q

total

= Q1 +Q2 +Q3 +Q4 = 530p3

S

2 = P

2 +Q

2

S

2 = (530)2 + (530p3)2

S

2 = (530)2 + 3.(530)2

S

2 = 4.(530)2

S = 2.(530)

FP =P

S

FP =530

2.(530)

FP =1

2= 0,5

0,625⌦

6,25⌦

30⌦

40⌦

62,5⌦

Z = R + i.X

i.X = 0 X = 0

Z

L

= jX

L

Z

C

= �jX

C

Z =(300 + 400.i).(�i.Xc)

(300 + 400.i) + (�i.Xc)

Z =(400.Xc� 300.Xc.i)

(300 + (400�Xc).i

300 � (400 �Xc).i

Z =(400.Xc� 300.Xc.i)

(300 + (400�Xc).i.

(300� (400�Xc).i

(300� (400�Xc).i

Z =300.Xc

2 + (400.Xc

2 � 250000.Xc).i

250000� 800.Xc+Xc

2

(400.Xc

2 � 250000.Xc).i

250000� 800.Xc+Xc

2= 0

(400.Xc

2 � 250000.Xc) = 0

Xc = 625 ⌦

⌘ =P

mecanica

P

eletrica

P = S.cos�

Q = S.sen�

S.cos� =P

mecanica

⌘

1 = 745,7

S.0,8 =7.745,7

0,7

S =7457

0,8

sen�

sen

2�+ cos

2� = 1

sen� =p1� cos

2�

sen� = 0,6

Q =7457

0,8.0,6

Q = 5.593

•

•

•

•

�

�

Y

Y

p3

I

N

= I

A

+ I

B

+ I

C