# Exercício 1

Propaganda
```UNIVERSIDADE PAULISTA – UNIP
ENGENHARIA DE PRODU&Ccedil;&Atilde;O/ MECATR&Ocirc;NICA
6&ordm; Semestre
Disciplina: Fundamentos de Circuitos El&eacute;tricos
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Exerc&iacute;cio 1
O circuito a seguir trabalha em regime permanente senoidal em 25 kHz. Calcular as
correntes, na forma fasorial, que passam pelo indutor, pelo resistor e pela fonte.
+
170 | 30&ordm; V
85 Ohms
-
RESOLU&Ccedil;&Atilde;O:
Z L  j 2  25  10 3  110.10 6  j 17,3   17,3 90&ordm; 
İF
İL
İR
+
-
IR 
IL 
170 30&ordm;
85
170 30&ordm;
17,3 90&ordm;
 2 30&ordm; A
 9,83  60&ordm; A
85 Ω
17,3 90&ordm; 
110 uH
IF  IR  IL  2 30&ordm;  9,83  60&ordm; A
IF  1,73  j1  4,92  j8,51  6,65  j 7,51
IF  10  48,5&ordm; A
Exerc&iacute;cio 2
Calcular a tens&atilde;o, na forma fasorial, que est&aacute; aplicada sobre o capacitor do circuito
abaixo:
19 mH
60 Ohms
+
50 | -45&ordm; V
f = 1 kHz
800 nF
-
RESOLU&Ccedil;&Atilde;O:
Z L  j 2  10 3  19.10 3  j 119,4   119,4 90&ordm; 
Z C   j
1
  j 200   200  90&ordm; 
2  10  800.10 9
3
İ
50 | -45&ordm; V
60 Ohms
j119,4 Ohms
+
VC
-j200 Ohms
-
I 
50  45&ordm;
50  45&ordm;
50  45&ordm;
V



 0,5  8,3&ordm; A
Z R  Z L  Z C 60  j119,4  j 200 60  j80,6 100,5  53,3&ordm;
VC  Z C  I  200  90&ordm;  0,5 8,3&ordm;  100  81,7&ordm; V
Exerc&iacute;cio 3
Calcular a tens&atilde;o e a corrente, na forma fasorial, na imped&acirc;ncia Ż3 do circuito
abaixo:
Ż2
+
Ż1
311 | 60&ordm; V
Ż3
Ż4
-
Dados: Ż1 = 30 – j60 Ω
Ż2 = –j100 Ω
Ż3 = 100 + j20 Ω
Ż4 = 30 – j10 Ω
RESOLU&Ccedil;&Atilde;O:
Ż2
+
311 | 60&ordm; V
Ż1
10  j 20  30  j10
Z EQ1 
10  j 20  30  j10
İ2
ŻEQ1
V3
Z EQ1 
-
Z EQ1 
22,36 63,4&ordm;   31,62  18,4&ordm;
40  j10
707 45&ordm;
 17,1 31&ordm; 
41,23 14&ordm;
Z EQ1  14,7  j8,8 
İ2
311 | 60&ordm; V
+
-
Ż1
ŻEQ2
Z EQ 2   j100  14,7  j8,8
Z EQ 2  14,7  j 91,2
Z EQ 2  92,4  80,8&ordm; 
311 60&ordm;
V
I2 

 3,37 140,8&ordm; A
Z EQ 2 92,4  80,8&ordm;
V3  Z EQ1  I2 17,1 31&ordm;  3,37 140,8&ordm;  57,6 171,8&ordm; V
V 57,6 171,8&ordm;
I2  3 
 2,58 108,1&ordm; A
Z 3 22,36 63,4&ordm;
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