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5-23. The circuit shown in Fig. P5.23 consists of parallel combinations of R, L, and C with impedances Z and Z2. One paral- lel branch consists of a resistor R and a capacitor C and the other branch con- sists of a resistor R, and an inductor L. The impedance of the inductor is Z = joL and the impedance of the capacitor is Zc = 1/(jwC). Suppose L = 100 mH, C = 20 µF, and w = 500 rad/s. (a) Express the impedances ZL and Zc in both their rectangular and polar 6. || %3D %3D forms. (b) If Z¡ = 50 – j100 N and Z2 = 100 + j50 2, compute the total impedance of the circuit. Express Z, + Z, your result in both its rectangular and polar forms. Z1 I R, R2 V C Figure P5.23 Parallel combination of R, L, and C for problem P5-23. ww ww

5-23. The circuit shown in Fig. P5.23 consists of parallel combinations of R, L, and C with impedances Z and Z2. One paral- lel branch consists of a resistor R and a capacitor C and the other branch con- sists of a resistor R, and an inductor L. The impedance of the inductor is Z = joL and the impedance of the capacitor is Zc = 1/(jwC). Suppose L = 100 mH, C = 20 µF, and w = 500 rad/s. (a) Express the impedances ZL and Zc in both their rectangular and polar 6. || %3D %3D forms. (b) If Z¡ = 50 – j100 N and Z2 = 100 + j50 2, compute the total impedance of the circuit. Express Z, + Z, your result in both its rectangular and polar forms. Z1 I R, R2 V C Figure P5.23 Parallel combination of R, L, and C for problem P5-23. ww ww

Introductory Circuit Analysis (13th Edition)
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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5-23. The circuit shown in Fig. P5.23 consists of parallel combinations of R, L, and C with impedances Z¡ and Z2. One paral- lel branch consists of a resistor R and a capacitor C and the other branch con- sists of a resistor R, and an inductor L. The impedance of the inductor is Z= j@L and the impedance of the capacitor is Zc = 1/(jwC). Suppose L = 100 mH, C = 20 µF, and w = (a) Express the impedances ZL and Zc in both their rectangular and polar '2· %3D 500 rad/s. %3D forms. (b) If Z = 50 – j100 N and Z, = 100 + j50 2, compute the total impedance of the circuit. Express %3D %3D Z + Z2 your result in both its rectangular and polar forms. Z1 R2 100 Figure P5.23 Parallel combination of R, L, and C for problem P5-23. ww ww
Transcribed Image Text:5-23. The circuit shown in Fig. P5.23 consists of parallel combinations of R, L, and C with impedances Z¡ and Z2. One paral- lel branch consists of a resistor R and a capacitor C and the other branch con- sists of a resistor R, and an inductor L. The impedance of the inductor is Z= j@L and the impedance of the capacitor is Zc = 1/(jwC). Suppose L = 100 mH, C = 20 µF, and w = (a) Express the impedances ZL and Zc in both their rectangular and polar '2· %3D 500 rad/s. %3D forms. (b) If Z = 50 – j100 N and Z, = 100 + j50 2, compute the total impedance of the circuit. Express %3D %3D Z + Z2 your result in both its rectangular and polar forms. Z1 R2 100 Figure P5.23 Parallel combination of R, L, and C for problem P5-23. ww ww
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