Introductory Physics Volume Two

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134 Time Varying Fields 6.9 ⊲ Problem 6.33 A series AC circuit contains the following components: R = 150Ω, L = 250mH, C = 2.00µF, and a generator with V max = 120V operating at 50.0Hz. Calculate the (a) inductive impedance, (b) capacitive impedance, (c) impedance, (d) maximum current, and (e) phase angle. ⊲ Problem 6.34 An RLC circuit consists of a 150Ω resistor, a 21µF capacitor, and a 460mH inductor, connected in series with a 120V, 60Hz function generator. What is the phase angle between the current and the applied voltage? Which reaches its maximum earlier, the current or the voltage? ⊲ Problem 6.35 Calculate the resonance frequency of a series RLC circuit for which C = 8.40µF and L = 120mH. ⊲ Problem 6.36 An RLC circuit is used in a radio to tune into an FM station broadcasting at 99.7MHz. The resistance in the circuit is 12.0Ω, and the inductance is 1.40µH. What capacitance should be used?
6.10 Summary 135 § 6.10 Summary Definitions Facts Theorems Ampere’s Law: ∮ ⃗B · ⃗dl = µ 0 ∫ Faraday’s Law: ∮ ∫ ⃗J · dA ⃗ d + µ 0 ɛ 0 dt ⃗E · ⃗dl = − d dt ∫ ⃗B · ⃗ dA ⃗E · ⃗ dA AC Circuits Capacitor: The phase of the voltage across a capacitor is 90 ◦ behind the phase of the current through the capacitor. The amplitude of the voltage and current are related as follows. V C 0 = 1 ωC I C 0 Inductor: The phase of the voltage across an inductor is 90 ◦ ahead of the phase of the current through the inductor. The amplitude of the voltage and current are related as follows. V L0 = ωL I L0
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1 Introductory Physics Volume Two S
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1.1 Electric Charge 3 Demo 1 Electr
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1.1 Electric Charge 5 Then charge a
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- - - - - 1.2 Coulomb’s Law 7 How
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1.2 Coulomb’s Law 9 Example Consi
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1.3 Electric Field 11 + - Compute t
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1.3 Electric Field 13 points a well
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1.3 Electric Field 15 Look back now
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1.5 Continuous Charge Distributions
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1.6 Gauss’s Law 19 § 1.6 Gauss
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1.6 Gauss’s Law 21 Suppose that y
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1.7 More Examples 23 ⊲ Problem 1.
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1.7 More Examples 25 The net force
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1.7 More Examples 27 out the net fo
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1.7 More Examples 29 -4q +2q -q E -
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1.7 More Examples 31 The area vecto
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1.8 Homework 33 ⊲ Problem 1.14 Ri
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1.9 Summary 35 § 1.9 Summary Defin
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2.1 Electric Potential 37 2 Electri
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2.1 Electric Potential 39 Example S
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2.2 Equipotentials 41 ⊲ Problem 2
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2.3 Conductors in Equilibrium 43
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2.4 Capacitors 45 § 2.4 Capacitors
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2.5 Energy in an Electric Field 47
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2.7 More Examples 49 ⊲ Problem 2.
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2.7 More Examples 51 The resulting
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2.8 Homework 53 add up potential du
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2.8 Homework 55 ⊲ Problem 2.27 Ho
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3.2 Electric Current 57 3 Circuits
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3.3 Ohm’s Law 59 Some materials,
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3.5 Kirchhoff’s Rules 61 ⊲ Prob
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3.6 Resistors in Combination 63 par
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3.8 Capacitor Circuits 65 Theorem:
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3.9 More Examples 67 Note that the
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3.9 More Examples 69 This mean that
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3.9 More Examples 71 15Ω 5Ω 10Ω
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3.9 More Examples 73 First combine
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3.10 Homework 75 ⊲ Problem 3.16 B
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3.10 Homework 77 4 µF + - 2 µF +
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3.11 Summary 79 § 3.11 Summary Def
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4.2 Magnetic Force on a Current 81
Page 83 and 84: 4.3 Trajectories Under Magnetic For
Page 85 and 86: 4.4 Lorentz Force 85 with a charge
Page 87 and 88: 4.5 Hall Effect 87 But this charge
Page 89 and 90: 4.6 More Examples 89 -e F E v F B =
Page 91 and 92: 4.6 More Examples 91 The force on t
Page 93 and 94: 4.7 Homework 93 Imagine the closed
Page 95 and 96: 4.7 Homework 95 circular orbits. Wr
Page 97 and 98: 5.1 Sources of Magnetic Field 97 5
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Page 101 and 102: 5.2 Ampere’s Law 101 and ⃗ dr s
Page 103 and 104: 5.2 Ampere’s Law 103 This satisfi
Page 105 and 106: 5.4 More Examples 105 distance r fr
Page 107 and 108: 5.4 More Examples 107 up the integr
Page 109 and 110: 5.4 More Examples 109 Use the Biot-
Page 111 and 112: 5.5 Homework 111 The magnetic force
Page 113 and 114: 5.5 Homework 113 3.00 A 1.00 A 1 mm
Page 115 and 116: 6.2 Faraday’s Law 115 6 Time Vary
Page 117 and 118: 6.2 Faraday’s Law 117 Definition:
Page 119 and 120: 6.3 Maxwell’s Extension of Ampere
Page 121 and 122: 6.4 Inductance 121 Example Suppose
Page 123 and 124: 6.7 AC Circuit Elements 123 + V S-
Page 125 and 126: 6.8 Phasor Diagrams 125 Theorem: Im
Page 127 and 128: 6.8 Phasor Diagrams 127 What we wan
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Page 137 and 138: 7.1 Maxwell Equations 137 7 Wave Op
Page 139 and 140: 7.2 Describing Oscillations 139 tio
Page 141 and 142: 7.3 Describing Waves 141 For a harm
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Page 147 and 148: 7.5 Interference of Waves 147 I I A
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Page 153 and 154: 7.9 Thin Film Interference 153 pass
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Page 157 and 158: 7.11 Homework 157 θ 2 d θ 1 θ 2
Page 159 and 160: 7.12 Summary 159 § 7.12 Summary De
Page 161 and 162: 8.2 Reflection 161 8 Geometric Opti
Page 163 and 164: 8.4 Snell’s Law 163 We see then t
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Page 167 and 168: 8.6 Thin Lens Equation 167 back in
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Page 173 and 174: 8.10 Multi-Lens Optical Systems 173
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Page 177 and 178: @ Summary 177 § 8.12 Summary Facts
Page 179 and 180: A Hints 179 1.14 Since this is only
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A Hints 185 7.26 The distance from
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B Index 187 † Ohm’s Law: Resist
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B Index 189
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C Power Series Expansions 191 The F
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D Unit Prefixes 193 § D.3 Fundamen
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