Introductory Mathematics for Engineering Applications
Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Chapter 5, Problem 24P

In the circuit shown in Fig. P5.24, the impedances of the various components are Z R = R Ω , Z L = j X L Ω , and Z C = 1 j X C , where j = 1 . Suppose R = 120 Ω , X L = 120 3 Ω , and X C = 1 50 3 Ω .

  1. Express the impedance Z R , Z L and Z C
  2. as complex numbers in both rectangular and polar forms.
  3. Now, suppose that the total impedance of the circuit is Z = Z C + Z R Z L Z R + Z L . Determine the total impedance and express the result in both rectangular and polar forms.
  4. Determine the complex conjugate of Z and compute the product Z Z * .

Chapter 5, Problem 24P, In the circuit shown in Fig. P5.24, the impedances of the various components are ZR=R,ZL=jXL, and

Figure P5.24 A capacitor connected in series with a parallel combination of resistor and inductor for problem P5-24.

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Chapter 5 Solutions

Introductory Mathematics for Engineering Applications

Ch. 5 - Repeat problem P5-10 if IR=0.50mA and IC=0.290mA.Ch. 5 - Repeat problem P5-10 if IR=0.92921.8mA and...Ch. 5 - The output voltage across the capacitor in a...Ch. 5 - The current flowing through the resistor in a...Ch. 5 - A resistor, capacitor, and an inductor are...Ch. 5 - Two circuit elements are connected in series as...Ch. 5 - An RC circuit is subjected to an alternating...Ch. 5 - A series-parallel electric circuit consists of the...Ch. 5 - The circuit shown in Fig. P5.19 consist of a...Ch. 5 - An electric circuit consists of two components as...Ch. 5 - A sinusoidal voltage source V = 110 V of frequency...Ch. 5 - A sinusoidal voltage source V=110223.2V is applied...Ch. 5 - An electric circuit consists of a resistor R, an...Ch. 5 - In the circuit shown in Fig. P5.24, the impedances...Ch. 5 - In the RC circuit shown in Fig. P5.25, the...Ch. 5 - In the RL circuit shown in Fig. P5.26, the...Ch. 5 - A resistor, capacitor, and inductor are connected...Ch. 5 - In the current divider circuit shown in Fig....Ch. 5 - In the current divider circuit shown in Fig....Ch. 5 - In the current divider circuit shown in Fig....Ch. 5 - In the current divider circuit shown in Fig....Ch. 5 - In the Op-Amp circuit shown in Fig. P5.32. the...Ch. 5 - In the Op-Amp circuit shown in Fig. P5.33, the...Ch. 5 - In the Op-Amp circuit shown in Fig. P534, the...Ch. 5 - In the Op-Amp circuit shown in Fig. P5.35. the...Ch. 5 - In the Op-Amp circuit shown in Fig. P5.36. the...Ch. 5 - Prob. 37PCh. 5 - Repeat problem P5-37 if Za=10, Zb=j20 and...Ch. 5 - In the circuit shown in Fig. 5.37, the impedances...Ch. 5 - Repeat problem P5-39 ¡f Z1=3.33+j3.33,...
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