Principles and Applications of Electrical Engineering
6th Edition
ISBN: 9780073529592
Author: Giorgio Rizzoni Professor of Mechanical Engineering, James A. Kearns Dr.
Publisher: McGraw-Hill Education
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Chapter 5, Problem 5.74HP
To determine
The values of
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A resistor, an inductor, and a capacitor are connected in parallel to an ac source with voltage amplitude V and angular frequency v. Let the source voltage be given by v = Vcosvt. (a) Show that each of the instantaneous voltages vR, vL, and vC at any instant is equal to v and that i = iR + iL + iC, where i is the current through the source and iR, iL, and iC are the currents through the resistor, inductor, and capacitor, respectively. (b) What are the phases of iR, iL, and iC with respect to v? Use current phasors to represent i, iR, iL, and iC. In a phasor diagram, show the phases of these four currents with respect to v. (c) Use the phasor diagram of part (b) to show that the current amplitude I for the current i through the source is I = √(I2R) + (IC - IL)2 . (d) Show that the result of part (c) can be written as I = V/Z, with 1/Z = √ (1/R2) + [ωC - (1/ωL)]2.
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Chapter 5 Solutions
Principles and Applications of Electrical Engineering
Ch. 5 - Write the differential equations fort t0 for iL...Ch. 5 - Write the differential equation fort t0 for vc in...Ch. 5 - Write the differential equation fort t0 for iC in...Ch. 5 - Write the differential equation for t0 for iL in...Ch. 5 - Write the differential equation for t0 for vc in...Ch. 5 - Write the differential equations for t0 for iC and...Ch. 5 - Prob. 5.7HPCh. 5 - Write the differential equation for t0 for iC in...Ch. 5 - Write the differential equation for t0 for iL in...Ch. 5 - Write the differential equations for: t0 for iL...
Ch. 5 - Determine the initial and final conditions on iL...Ch. 5 - Determine the initial and final conditions on vc...Ch. 5 - Determine the initial and final conditions on iC...Ch. 5 - Determine the initial and final conditions on iL...Ch. 5 - Determine the initial and final conditions on vc...Ch. 5 - Determine the initial and final conditions on iC...Ch. 5 - Determine the initial and final conditions on vC...Ch. 5 - Prob. 5.18HPCh. 5 - Prob. 5.19HPCh. 5 - Determine the initial and final conditions on iL...Ch. 5 - At t=0 , just before the switch is opened, the...Ch. 5 - Prob. 5.22HPCh. 5 - Determine the current ic through the capacitor...Ch. 5 - Prob. 5.24HPCh. 5 - Prob. 5.25HPCh. 5 - Assume that steady-state conditions exist in...Ch. 5 - Assume that steady-state conditions exist in the...Ch. 5 - Prob. 5.28HPCh. 5 - Assume that steady-state conditions exist in the...Ch. 5 - Find the Thévenin equivalent network seen by the...Ch. 5 - Prob. 5.31HPCh. 5 - Prob. 5.32HPCh. 5 - Prob. 5.33HPCh. 5 - For t0 , the circuit shown in Figure P5.34 is at...Ch. 5 - The circuit in Figure P5.35 is a simple model of...Ch. 5 - Prob. 5.36HPCh. 5 - Determine the current iC through the capacitor in...Ch. 5 - Determine the voltage vL across the inductor in...Ch. 5 - Prob. 5.39HPCh. 5 - For t0 , the circuit shown in Figure P5.39 is at...Ch. 5 - Prob. 5.41HPCh. 5 - Prob. 5.42HPCh. 5 - Prob. 5.43HPCh. 5 - Prob. 5.44HPCh. 5 - For the circuit shown in Figure P5.41, assume that...Ch. 5 - Prob. 5.46HPCh. 5 - Prob. 5.47HPCh. 5 - For the circuit in Figure P5.47, assume...Ch. 5 - In the circuit in Figure P5.49, how long after the...Ch. 5 - Refer to Figure P5.49 and assume that the switch...Ch. 5 - The circuit in Figure P5.51 includes a...Ch. 5 - At t=0 the switch in the circuit in Figure...Ch. 5 - Prob. 5.53HPCh. 5 - The analogy between electrical and thermal systems...Ch. 5 - The burner and pot of Problem 5.54 can be modeled...Ch. 5 - Prob. 5.56HPCh. 5 - Prob. 5.57HPCh. 5 - Prob. 5.58HPCh. 5 - The circuit in Figure P5.59 models the charging...Ch. 5 - Prob. 5.60HPCh. 5 - In the circuit shown in Figure P5.61:...Ch. 5 - Prob. 5.62HPCh. 5 - If the switch shown in Figure P5.63 is closed at...Ch. 5 - Prob. 5.64HPCh. 5 - Prob. 5.65HPCh. 5 - Prob. 5.66HPCh. 5 - Prob. 5.67HPCh. 5 - Prob. 5.68HPCh. 5 - Assume the switch in the circuit in Figure...Ch. 5 - Prob. 5.70HPCh. 5 - Prob. 5.71HPCh. 5 - Prob. 5.72HPCh. 5 - Prob. 5.73HPCh. 5 - Prob. 5.74HPCh. 5 - Prob. 5.75HPCh. 5 - Prob. 5.76HPCh. 5 - Prob. 5.77HPCh. 5 - Prob. 5.78HPCh. 5 - Prob. 5.79HPCh. 5 - Assume the circuit in Figure P5.80 is in DC steady...Ch. 5 - Prob. 5.81HPCh. 5 - For t0 , determine v in Figure P5.82, assuming DC...
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