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 39P

In the circuit shown in Fig. 5.37, the impedances Z 1 , Z 2 and Z 3 connected in the Yee interconnection can converted into their equivalent impedances Z a , Z b and Z c connected in the Delta interconnection as

Z a = Z 1 Z 2 + Z 2 Z 3 + Z 3 Z 1 Z 3 Z b = Z 1 Z 2 + Z 2 Z 3 + Z 3 Z 1 Z 2 Z c = Z 1 Z 2 + Z 2 Z 3 + Z 3 Z 1 Z 1  

  1. If Z 1 = 2.5 j 2.5 Ω , Z 2 = 17.5 + j 7.5 Ω and Z 3 = 3.75 j 8.75 Ω
  2. express Z 1 , Z 2 and Z 3
  3. as complex numbers in polar form.
  4. Determine Z a , Z b and Z c
  5. in both rectangular and polar forms.

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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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