17. For the circuit in Fig. 15.94: a. Find the total impedance Z7 in polar form. b. Draw the impedance diagram. c. Find the value of C in microfarads and L in henries. d. Find the current I and the voltages VR, VL, and Ve in phasor form. e. Draw the phasor diagram of the voltages E, VR, V, and Vc and the current I. h. Find the power factor of the circuit, and indicate whether it is leading or lagging. R = 4 N X1 = 60 Xc 10 2 %3D + UR + VL + e = 70.7 sin 377t ZT FIG. 15.94
17. For the circuit in Fig. 15.94: a. Find the total impedance Z7 in polar form. b. Draw the impedance diagram. c. Find the value of C in microfarads and L in henries. d. Find the current I and the voltages VR, VL, and Ve in phasor form. e. Draw the phasor diagram of the voltages E, VR, V, and Vc and the current I. h. Find the power factor of the circuit, and indicate whether it is leading or lagging. R = 4 N X1 = 60 Xc 10 2 %3D + UR + VL + e = 70.7 sin 377t ZT FIG. 15.94
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Answer for a. b. c. d. e. h.
Transcribed Image Text:For the circuit in Fig. 15.94:
a. Find the total impedance \( Z_T \) in polar form.
b. Draw the impedance diagram.
c. Find the value of \( C \) in microfarads and \( L \) in henries.
d. Find the current \( I \) and the voltages \( V_R \), \( V_L \), and \( V_C \) in phasor form.
e. Draw the phasor diagram of the voltages \( E \), \( V_R \), \( V_L \), \( V_C \) and the current \( I \).
h. Find the power factor of the circuit, and indicate whether it is leading or lagging.
Diagram Explanation:
- The circuit consists of a series of components: a resistor (R), an inductor (L), and a capacitor (C).
- The resistor \( R \) has a resistance of \( 4 \, \Omega \).
- The inductor has a reactance \( X_L \) of \( 6 \, \Omega \).
- The capacitor has a reactance \( X_C \) of \( 10 \, \Omega \).
- The source voltage is given by \( e = 70.7 \sin 377t \).
- The total impedance of the circuit is labeled as \( Z_T \).
- The diagram indicates the voltages \( V_R \), \( V_L \), and \( V_C \) across the resistor, inductor, and capacitor respectively.
- Current \( i \) flows through the circuit.
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