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 22P

A sinusoidal voltage source V = 110 2 23.2 ° V is applied to an circuit shown in fig. P5.22. where Z 1 = R 1 j X C Ω and Z 2 = R 2 + j X L Ω .The voltage V 1 is given by V 1 = Z 2 Z 1 + Z 2 V .

Assuming that R 1 = 50 Ω , R 2 = 100 Ω , X L = 250 Ω and X C = 100 Ω .

  1. Write Z 1 and Z 2
  2. as complex numbers in polar form.
  3. Determine V 1
  4. ¡n both rectangular and polar forms
  5. Determine the complex conjugate of Z 1 and compute the product Z 1 Z 1 *
  6. Chapter 5, Problem 22P, A sinusoidal voltage source V=110223.2V is applied to an circuit shown in fig. P5.22. where Z1=R1jXC

Figure P5.22 Voltage division for problem P5-22.

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Consider an RL circuit consisting of an inductor with an inductance of L henry (H) and a resistor with a resistance of R ohms (Ω)driven by a voltage of E(t)volts (V). Given the voltage drop across the resistor is ER=RI , and across the inductor is EL=L(dI/dt) , Kirchhoff's Law gives Ld Idt+RI =E(t) Now suppose an RL circuit with a 7Ω resistor and a 0.04H inductor is driven by a constant voltage of sin(40t) V. If the initial resistor current is I(0)=0A , find the current I and the voltages across the inductor EL and the resistor ER in terms of time t.

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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