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Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electrical Engineering: Principles and Applications, Fifth Edition Allan R. Hambley Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc. Upper Saddle River, New Jersey 07458 All rights reserved. Electrical Engineering: Principles and Applications, Fifth Edition Allan R. Hambley 1.1 Overview of Electrical Engineering

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

1.1 Overview of Electrical Engineering

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.1 Pressure versus time for an internal combustion engine experiencing knock. Sensors convert pressure to an electrical signal that is processed to adjust ignition timing for minimum pollution and good performance.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

1.2 Circuits, Current, and Voltages

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.2 The headlight circuit. (a) The actual physical layout of the circuit. (b) The circuit diagram.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.3 An electrical circuit consists of circuit elements, such as voltage sources, resistances, inductances, and capacitances, connected in closed paths by conductors.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.4 Current is the time rate of charge flow through a cross section of a conductor or circuit element.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.5 Plots of charge and current versus time for Example 1.1. Note: The time scale is in milliseconds (ms). One millisecond is equivalent to 10–3 seconds.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.6 In analyzing circuits, we frequently start by assigning current variables i1, i2, i3, and so forth.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.7 Examples of dc and ac currents versus time.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.8 Ac currents can have various waveforms.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.9 Reference directions can be indicated by labeling the ends of circuit elements and using double subscripts on current variables. The reference direction for iab points from a to b. On the other hand, the reference direction for ibapoints from b to a.

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Figure 1.10 Energy is transferred when charge flows through an element having a voltage across it.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.11 If we do not know the voltage values and polarities in a circuit, we can start by assigning voltage variables choosing the reference polarities arbitrarily. (The boxes represent unspecified circuit elements.)

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.12 The voltage vab has a reference polarity that is positive at point a and negative at point b.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.13 The positive reference for v is at the head of the arrow.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

1.3 Power and Energy

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.14 When current flows through an element and voltage appears across the element, energy is transferred. The rate of energy transfer is p = vi.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.15 Circuit elements for Example 1.2.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.16 Circuit element for Example 1.3.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.17 See Exercise 1.6.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

1.4 Kirchhoff’s Current Law

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.18 Partial circuits showing one node each to illustrate Kirchhoff’s current law.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.19 Elements A, B, C, and D can be considered to be connected to a common node, because all points in a circuit that are connected directly by conductors are electrically equivalent to a single point.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.20 Elements A, B, and C are connected in series.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.21 See Exercise 1.7.

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Figure 1.22 Circuit for Exercise 1.8.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

1.5 Kirchhoff’s Voltage Law

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.23 In applying KVL to a loop, voltages are added or subtracted depending on their reference polarities relative to the direction of travel around the loop.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.24 Circuit used for illustration of Kirchhoff’s voltage law.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.25 In this circuit, conservation of energy requires that vb = va + vc.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.26 In this circuit, elements A and B are in parallel. Elements D, E, and F form another parallel combination.

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Figure 1.27 For this circuit, we can show that va = vb = –vc. Thus, the magnitudes and actual polarities of all three voltages are the same.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.28 Analysis is simplified by using the same voltage variable and reference polarity for elements that are in parallel.

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Figure 1.29 Circuit for Exercises 1.9 and 1.10.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

1.6 Introduction to Circuit Elements

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.30 Independent voltage sources.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.31 We avoid self-contradictory circuit diagrams such as this one.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.32 Dependent voltage sources (also known as controlled voltage sources) are represented by diamond-shaped symbols. The voltage across a controlled voltage source depends on a current or voltage that appears elsewhere in the circuit.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.33 Independent current sources.

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Figure 1.34 Dependent current sources. The current through a dependent current source depends on a current or voltage that appears elsewhere in the circuit.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.35 Voltage is proportional to current in an ideal resistor. Notice that the references for v and i conform to the passive reference configuration.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.36 If the references for v and i are opposite to the passive configuration, we have v = –Ri.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.37 We construct resistors by attaching terminals to a piece of conductive material.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.38 Resistors often take the form of a long cylinder (or bar) in which current enters one end and flows along the length.

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure PA1.1

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

1.7 Introduction to Circuits

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Electrical Engineering: Principles and Applications, Fifth EditionAllan R. Hambley

Figure 1.39 A circuit consisting of a voltage source and a resistance.

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Figure 1.40 Circuit for Example 1.6.

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Figure 1.41 Circuit for Example 1.7.

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Figure 1.40 Circuit for Example 1.6.

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Figure 1.41 Circuit for Example 1.7.

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Figure 1.42 Circuit for Exercise 1.14.

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Figure 1.43 Circuit for Exercise 1.15.