Introductory Mathematics for Engineering Applications
Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Textbook Question
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Chapter 5, Problem 25P

In the RC circuit shown in Fig. P5.25, the impedances of R and C are given as Z R = R Ω and Z C = j X C Ω , where j = 1 . Suppose R = 100 Ω and X C = 50 Ω . 

  1. Express the impedances Z R and Z C
  2. as complex numbers in both rectangular and polar forms.
  3. Find the total impedance Z = Z R + Z C , as a complex number in both rectangular and polar forms.
  4. If V = 100 0 ° V
  5. find the current I = V Z
  6. as a complex number in both rectangular and polar forms.
  7. Knowing the Current in part (c), find the voltage, phasors V R = I Z R and V C = I Z C
  8. in both rectangular and polar forms.
  9. Show that the KVL is satisfied for the circuit shown in Fig. P5.25; in other words, show V = V R + V C .

Chapter 5, Problem 25P, In the RC circuit shown in Fig. P5.25, the impedances of R and C are given as ZR=R and ZC=jXC, where

Figure P5.25 An RC circuit for problem P5-25.

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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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