Introductory Physics Volume Two

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76 Circuits 3.10 3.0 µF 6.0 µF 2.0 µF ⊲ Problem 3.22 Four capacitors are connected as shown. Find the equivalent capacitance between points a and b. Calculate the charge on each capacitor in V ab = 15V. 15 µF 3.0 µF 20 µF 6.0 µF ⊲ Problem 3.23 When two capacitors are connected in parallel, the equivalent capacitance is 4.00µF. If the same capacitors are reconnected in series, the equivalent capacitance is one-fourth the capacitance of one of the two capacitors. Determine the two capacitances. ⊲ Problem 3.24 For the system of capacitors shown below find the equivalent capacitance of the system, the potential across each capacitor, the charge on each capacitor, and the total energy stored by the group. 3 µF 6 µF 2 µF 4 µF 90 V ⊲ Problem 3.25 Calculate the equivalent capacitance between the two points shown in the circuit below. Note that this is not a simple series or parallel combination.
3.10 Homework 77 4 µF + - 2 µF + - 8 µF + - + - + - 4 µF 2 µF ⊲ Problem 3.26 If R = 1.0kΩ and E = 250V determine the direction and magnitude of the current in the horizontal wire between a and e. R c b 2R d ε + - 4R 3R + - 2ε a ⊲ Problem 3.27 Determine the current in each branch of the figure. 3.0 Ω e 5.0 Ω 8.0 Ω 1.0 Ω 1.0 Ω 4 V 12 V ⊲ Problem 3.28 A 25-W light bulb is connected in series with a 100-W light bulb and a voltage V is placed across the combination. Which bulb is brighter? Explain. ⊲ Problem 3.29 An electric heater is rated at 1500W, a toaster at 750W, and an electric grill at 1000W. The three appliances are connected to a common 120V circuit. How much current does each draw? Is a 25A circuit sufficient in this situation? ⊲ Problem 3.30 An 8-foot extension cord has two 18-gauge copper wires, each having a diamter of 1.024mm. How much power does this cord dissipate when carrying a current of 1.0A? How much power does this cord dissipate when carrying a current of 10A?
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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.
Page 25 and 26: 1.7 More Examples 25 The net force
Page 27 and 28: 1.7 More Examples 27 out the net fo
Page 29 and 30: 1.7 More Examples 29 -4q +2q -q E -
Page 31 and 32: 1.7 More Examples 31 The area vecto
Page 33 and 34: 1.8 Homework 33 ⊲ Problem 1.14 Ri
Page 35 and 36: 1.9 Summary 35 § 1.9 Summary Defin
Page 37 and 38: 2.1 Electric Potential 37 2 Electri
Page 39 and 40: 2.1 Electric Potential 39 Example S
Page 41 and 42: 2.2 Equipotentials 41 ⊲ Problem 2
Page 43 and 44: 2.3 Conductors in Equilibrium 43
Page 45 and 46: 2.4 Capacitors 45 § 2.4 Capacitors
Page 47 and 48: 2.5 Energy in an Electric Field 47
Page 49 and 50: 2.7 More Examples 49 ⊲ Problem 2.
Page 51 and 52: 2.7 More Examples 51 The resulting
Page 53 and 54: 2.8 Homework 53 add up potential du
Page 55 and 56: 2.8 Homework 55 ⊲ Problem 2.27 Ho
Page 57 and 58: 3.2 Electric Current 57 3 Circuits
Page 59 and 60: 3.3 Ohm’s Law 59 Some materials,
Page 61 and 62: 3.5 Kirchhoff’s Rules 61 ⊲ Prob
Page 63 and 64: 3.6 Resistors in Combination 63 par
Page 65 and 66: 3.8 Capacitor Circuits 65 Theorem:
Page 67 and 68: 3.9 More Examples 67 Note that the
Page 69 and 70: 3.9 More Examples 69 This mean that
Page 71 and 72: 3.9 More Examples 71 15Ω 5Ω 10Ω
Page 73 and 74: 3.9 More Examples 73 First combine
Page 75: 3.10 Homework 75 ⊲ Problem 3.16 B
Page 79 and 80: 3.11 Summary 79 § 3.11 Summary Def
Page 81 and 82: 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
Page 99 and 100: 5.1 Sources of Magnetic Field 99
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
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6.8 Phasor Diagrams 127 What we wan
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6.9 Homework 129 ⊲ Problem 6.6 Sh
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6.9 Homework 131 (b) A small circul
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6.9 Homework 133 maximum current in
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6.10 Summary 135 § 6.10 Summary De
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7.1 Maxwell Equations 137 7 Wave Op
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7.2 Describing Oscillations 139 tio
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7.3 Describing Waves 141 For a harm
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7.3 Describing Waves 143 Definition
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7.4 Electromagnetic Waves 145 § 7.
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7.5 Interference of Waves 147 I I A
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7.7 Interference of Two Sources 149
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7.8 Far Field Approximation 151 §
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7.9 Thin Film Interference 153 pass
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7.11 Homework 155 Second Min First
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7.11 Homework 157 θ 2 d θ 1 θ 2
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7.12 Summary 159 § 7.12 Summary De
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8.2 Reflection 161 8 Geometric Opti
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8.4 Snell’s Law 163 We see then t
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8.5 Virtual Image Caused by Refract
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8.6 Thin Lens Equation 167 back in
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8.7 Virtual Image in a Converging L
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8.8 Diverging Lenses 171 (b) virtua
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8.10 Multi-Lens Optical Systems 173
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8.11 Homework 175 We can also compu
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@ Summary 177 § 8.12 Summary Facts
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A Hints 179 1.14 Since this is only
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A Hints 181 2.27 Imagine that you b
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A Hints 183 4.12 Consider the vecto
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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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Introductory Physics Volume Two

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