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696 ⏐⏐⏐ SERIES AND PARALLEL ac CIRCUITS
Z T
Z T
R = 6.8 �
R = 3 �
(a)
X L
(a)
X L
4 �
6.8 �
Z T
R 1 = 2 �
R = 0.5 k�
X C = 7 � X C = 4 k�
I = 60 A ∠ 70°
+
E = 120 V ∠ 0° ?
–
(a)
Z T
X C = 6 �
(b)
R 2
FIG. 15.116
Problem 4.
X L1 = 2 k�
(b)
X L2
a c
SECTION 15.3 Series Configuration
4. Calculate the total impedance of the circuits of Fig.
15.116. Express your answer in rectangular and polar
forms, and draw the impedance diagram.
8 �
5 k�
FIG. 15.117
Problem 5.
I = 20 mA ∠ 40°
+
E = 80 V ∠ 320° ?
–
(b)
FIG. 15.118
Problems 6 and 26.
Z T
R 1 = 1 k�
R = 47 �
ZT f = 1 kHz
X L1
X L2 = 7 k�
(c)
L 2 = 0.2 H
(c)
= 3 k�
R 2
L 1 = 0.06 H
4 k�
5. Calculate the total impedance of the circuits of Fig.
15.117. Express your answer in rectangular and polar
forms, and draw the impedance diagram.
C = 10 mF
6. Find the type and impedance in ohms of the series circuit
elements that must be in the closed container of Fig.
15.118 for the indicated voltages and currents to exist at
the input terminals. (Find the simplest series circuit that
will satisfy the indicated conditions.)
I = 0.2 A ∠ –60°
+
E = 8 kV ∠ 0° ?
–
(c)