Introductory Physics Volume Two

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176 Geometric Optics 8.11 position of the final image using both a ray diagram and the thin-lens equation. (b) Is the image real or virtual? Upright or inverted? (c) What is the overall magnification of the image? ⊲ Problem 8.12 An object is 15 cm in front of a positive lens of focal length 15 cm. A second negative lens of focal length -15 cm is 20 cm from the first lens. Find the final image and draw a ray diagram. ⊲ Problem 8.13 A concave mirror has a focal length of 40.0cm. Determine the object position for which the resulting image is upright and four times the size of the object. ⊲ Problem 8.14 A concave mirror has a radius of curvature of 60 cm, (f = 30cm). Calculate the image position and magnification of an object placed in front of the mirror at distances of 90 cm and 20 cm. Draw ray diagrams to obtain the image in each case. ⊲ Problem 8.15 Under what conditions will a concave mirror produce and erect image? A virtual image? An image smaller than the object? An image larger than the object? Repeat the exercise for a convex mirror. ⊲ Problem 8.16 A dentist wants a small mirror that will produce an upright image with a magnification of 5.5 when the mirror is located 2.1 cm from a tooth. (a) What should the radius of curvature of the mirror be? (b) Should it be concave or convex?
@ Summary 177 § 8.12 Summary Facts • Law of Reflection: θ i = θ r • Snell’s Law: n i sin θ i = n t sin θ t Theorems • Thin Lens Equation: 1 x o + 1 x i = 1 f
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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
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4.3 Trajectories Under Magnetic For
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4.4 Lorentz Force 85 with a charge
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4.5 Hall Effect 87 But this charge
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4.6 More Examples 89 -e F E v F B =
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4.6 More Examples 91 The force on t
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4.7 Homework 93 Imagine the closed
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4.7 Homework 95 circular orbits. Wr
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5.1 Sources of Magnetic Field 97 5
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5.1 Sources of Magnetic Field 99
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5.2 Ampere’s Law 101 and ⃗ dr s
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5.2 Ampere’s Law 103 This satisfi
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5.4 More Examples 105 distance r fr
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5.4 More Examples 107 up the integr
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5.4 More Examples 109 Use the Biot-
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5.5 Homework 111 The magnetic force
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5.5 Homework 113 3.00 A 1.00 A 1 mm
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6.2 Faraday’s Law 115 6 Time Vary
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6.2 Faraday’s Law 117 Definition:
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6.3 Maxwell’s Extension of Ampere
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6.4 Inductance 121 Example Suppose
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6.7 AC Circuit Elements 123 + V S-
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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
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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 185 and 186: A Hints 185 7.26 The distance from
Page 187 and 188: B Index 187 † Ohm’s Law: Resist
Page 189 and 190: B Index 189
Page 191 and 192: C Power Series Expansions 191 The F
Page 193: D Unit Prefixes 193 § D.3 Fundamen
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Introductory Physics Volume Two

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