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 5.33HP
To determine
The value of current
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Solve for the mesh currents shown in Figure P5.54.
Assuming that a nonzero ac voltage source is applied, what can you say about whether the power and reactive power are positive, negative, or zero for a pure capacitance in series with a pure inductance? Consider cases in which the impedance magnitude of the capacitance is greater than, equal to, or less than the impedance magnitude of the inductance. Repeat Problem P5.74 for the inductance and capacitance in parallel.
The inductor L in the circuit shown in Figure P5.36is the coil of a relay. When the current through the coilis equal to or greater than +2 mA, the relay functions.Assume steady-state conditions at t < 0. IfVS = 12 V, L = 10.9 mH, R1 = 3.1 kΩ
determine R2 so that the relay functions at t = 2.3 s.
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Assume that S1 and S2 close at t = 0 in FigureP5.41.a. Find the capacitor voltage vC(t) at t = 0+. b. Find the time constant τ for t ≥ 0.c. Find an expression for vC(t), and sketch thefunction.d. Find vC(t) for each of the following values of t:0, τ, 2τ, 5τ, 10τ .arrow_forwardDraw the Thévenin and Norton equivalent circuits for Figure P5.91, labeling the elements and terminals.arrow_forwardThe Thévenin equivalent of a two-terminal network is shown in Figure P5.93. The frequency is f=60 Hz. We wish to connect a load across terminals that consists of a resistance and a capacitance in series such that the power delivered to the resistance is maximized. Find the value of the resistance and the value of the capacitance. Repeat Problem P5.93 with the load required to consist of a resistance and a capacitance in parallel.arrow_forward
- The equation of the charge on the capacitor at any time t for an LRC series circuits is givenas a) Assume there is no initial charge and current, sketch the graph of the charge. b) What happen to the charge after a long time? c) State the transient and the steady state terms.arrow_forwardDescribe the steady-state similarities and differences of DC and AC circuits with purelyresistive elementsarrow_forwardA 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.arrow_forward
- Which of the following is true regarding the behavior of capacitors when energized by a DC source? a. At transient state, the capacitor behaves as an open circuit. b. At transient state, the capacitor behaves as a short circuit. c. At steady-state, the capacitor behaves as a short circuit. d. At steady-state, the capacitor behaves as an open circuit.arrow_forwardConsider the situation shown in Figure P5.85. A 1000-V-rms source delivers power to a load. The load consumes 100 kW with a power factor of 25 percent lagging. a. Find the phasor I, assuming that the capacitor is not connected to the circuit. b. Find the value of the capacitance that must be connected in parallel with the load to achieve a power factor of 100 percent. Usually, power-systems engineers rate capacitances used for power-factor correction in terms of their reactive power rating. What is the rating of this capacitance in kVAR? Assuming that this capacitance is connected, find the new value for the phasor I. c. Suppose that the source is connected to the load by a long distance. What are the potential advantages and disadvantages of connecting the capacitance across the load?arrow_forwardFor the circuit of Figure P5.52, assume that thecircuit is at steady state for t < 0. Find the voltage across the 10-kΩ resistor in parallel with the switch for t ≥ 0.arrow_forward
- topic: TRANSIENT RESPONSE OF RC, RL, AND RLC CIRCUITS How do capacitors and inductors in series and in parallel compare with resistors? For DC steady state analysis, what can be said about capacitors and inductors?arrow_forwardWhat is the practical application of a circuit that you can tune such that it reaches some minimum resistance? Would there be an application to being able to tune where that minimum occurs, by changing the capacitance or inductance of the circuit?arrow_forwardConsider the phasors shown in Figure P5.22. The frequency of each signal is f=200 Hz. Write a time-domain expression for each voltage in the form Vm cos(ωt+θ). State the phase relationships between pairs of these phasors.arrow_forward
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