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All Textbook Solutions for Physics: Principles with Applications

1P 2P The rectangular loop in Fig. 21-5813 is being pushed to the right, where the magnetic field points inward. In what direction is the induced current? Explain your reasoning.If the solenoid in Fig. 21-59 |D is being pulled away from the loop shown, in what direction is the induced current in the loop? Explain.An 18.5-cm-diameter loop of wire is initially oriented perpendicular to a 1.5-T magnetic field. Theloop is rotated so that its plane is parallel to the field direction in 0.20 s. What is the average induced emf in the loop?A fixed 10.8-cm-diameter wire coil is perpendicular to a magnetic field 0.48 T pointing up. In 0.16 s,the field is changed to 0.25 T pointing down. What is the average induced emf in the coil?A 16-cm-diameter circular loop of wire is placed in a 0.50-T magnetic field. (a) When the plane of the loop is perpendicular to the field lines, what is the magnetic flux through the loop? (b) The plane of the loop is rotated until it makes a 42° angle with the field lines. What is the angle in Eq. 21-1for this situation? (c) What is the magnetic flux through the loop at this angle?8P 9P A circular loop in the plane of the paper lies in a 0.65-T magnetic field pointing into the paper. The loop's diameter changes from 20.0 cm to 6.0 cm in 0.50 s. What is (a) the direction of the induced current, (6) the magnitude of the average induced emf,and (c) the average induced current if the coil resistance is 2.5 O?11P 12P 13P 14P 15P 16P 17P 18P 19P 20P 21P A simple generator has a square armature 6.0 cm on a side. The armature has 85 turns of 0.59-mm-diameter copper wire and rotates in a 0.65-T magnetic field. The generator is used to power a lightbulb rated at 12.0V and 25.0 W. At what rate should the generator rotate to provide 12.0 V to the bulb? Consider the resistance of the wire on the armature.23P 24P 25P 26P 27P 28P 29P 30P 31P 32P 33P 34P 35P 36P 37P 38P 39P 40P 41P 42P 43P 44P 45P 46P 47P 48P 49P 50P 51P 52P 53P 54P 55P 56P (a) What is the reactance of a well-insulated 0.030-F capacitor connected to a 2.0-kV (rms) 720-Hz line? (b) What will be the peak value of the current?58P 59P 60P 61P Determine the total impedance, phase angle, and rms current in an LRCcircuit connected to a 10.0-kHz, 725-V (rms) source if t = 28.0 mH, R = 8.70 k , and C = 6250 F.63P 64P 65P 66P 67P The variable capacitor in the tuner of an AM radio has a capacitance of 2800 pF when the radio is tuned to a station at 580 kHz. (a) What must be the capacitance for a station at 1600 kHz? (b) What is the inductance (assumed constant)?69P A resonant circuit using a 260-nF capacitor is to resonate at 18.0 kHz. The air-core inductor is to be a solenoid with closely packed coils made from 12.0 m of insulated wire 1.1 mm in diameter. How many loops will the inductor contain?71P 72GP 73GP 74GP 75GP 76GP Power is generated at 24 kV at a generating plant located 56 km from a town that requires 55 MW of power at 12 kV. Two transmission lines from the plant to the town each have a resistance of 0.10 /km. What should the output voltage of the transformer at the generating plant be for an overall transmission efficiency of 98.5%, assuming a perfect transformer?78GP 79GP 80GP 81GP 82GP 83GP 84GP 85GP 86GP 87GP 88GP 89GP 1Q 2Q 3Q 4Q 5Q 6Q 7Q 8Q 9Q 10Q 11Q 12Q 13Q 1P 2P 3P 4P 5P 6P 7P 8P 9P 10P 11P 12P 13P 14P 15P 16P 17P 18P 19P 20P 21P 22P 23P 24P 25P 26P 27P 28P 29P 30P 31P 32P 33P 34P 35P 36P 37GP 38GP 39GP 40GP 41GP 42GP 43GP 44GP 45GP 46GP 47GP 48GP 49GP 50GP 51GP 52GP 53GP 54GP 1Q What is the focal length of a plane mirror? What is the magnification of a plane mirror?3Q 4Q 5Q 6Q 7Q 8Q 9Q 10Q 11Q You look into an aquarium and view a fish inside. One ray of the light from the fish is shown emerging from the tank in Fig. 23-48. The apparent position of the fish is also shown (dashed ray). In the drawing, indicate the approximate position of the actual fish. Briefly justify your answer.13Q 14Q A child looks into a pool to see how deep it is. She then drops a small toy into the pool to help decide how deep the pool is. After this careful investigation, she decides it is safe to jump in—only to discover the water is over her head. What went wrong with her interpretation of her experiment?16Q 17Q 18Q 19Q 20Q 21Q 22Q 23Q 24Q 25Q 26Q 27Q 28Q 29Q 30Q 31Q 32Q 33Q 1P 2P Two plane mirrors meet at a 1350 angle, Fig. 23-52. If light rays strike one mirror at 340 as shown, at what angle do they leave the second mirror?4P 5P 6P Suppose you are 94 cm from a plane mirror. What area of the mirror is used to reflect the rays entering one eye from a point on the tip of your nose if your pupil diameter is 4.5 mm?A solar cooker, really a concave mirror pointed at the Sun, focuses the Sun's rays 18.8 cm in front of the mirror. What is the radius of the spherical surface from which the mirror was made?How far from a concave mirror (radius 21.0 cm) must an object be placed if its image is to be at infinity?A small candle is 38 cm from a concave mirror having a radius of curvature of 24 cm. (a) What is the focal length of the mirror? (b) Where will the image of the candle be located? (c) Will the image be upright or inverted?An object 3.0 mm high is placed 16 cm from a convex mirror of radius of curvature 16 cm. (a) Show by ray tracing that the image is virtual, and estimate the image distance. (b) Show that the (negative) image distance can be computed from Eq. 23-2 using a focal length of-8.0 cm. (c) Compute the image size, using Eq. 23-3.A dentist wants a small mirror that, when 2.00 cm from a tooth, will produce a 4.0× upright image. What kind of mirror must be used and what must its radius of curvature be?You are standing 3.4 m from a convex security mirror in a store. You estimate the height of your image to be half of your actual height. Estimate the radius of curvature of the mirror.The image of a distant tree is virtual and very small when viewed in a curved mirror. The image appears to be 19.0 cm behind the mirror. What kind of mirror is it, and what is its radius of curvature?15P 16P 17P Some rearview mirrors produce images of cars to your rear that are smaller than they would be if the mirror were flat. Are the mirrors concave or convex? What is a mirror’s radius of curvature if cars 16.0 m away appear 0.33 their normal size?19P 20P 21P 22P 23P 24P 25P 26P 27P 28P 29P 30P 31P Rays of the Sunare seen to make a 36.0° angle to the vertical beneath the water. At what angle above the horizon is the Sun?33P A beam of light in air strikes a slab of glass (n =1.51) and is partiallyreflected and partially refracted. Determine the angle of incidence if the angle of reflection is twice the angle of refraction.35P 36P 37P 38P 39P 40P 39. (Ill) (a) What is the minimum index of refraction for a glass or plastic prism to be used in binoculars (Fig. 23-28) so that total internal reflection occurs at 45°? (b) Willbinoculars work if their prisms (assume n =1.58) are immersed in water? (c) What minimum nis needed if the prisms are immersed in water? 40. (Ill) A beam of light enters the end of an optic fiber as shown in Fig. 23-58.(a) Show that we can guarantee total internal reflection at the side surface of the material (at point A), if the index of refraction is greater than about 1.42. In other words, regardless of the angle ?, the light beam reflects back into the material at point A, assuming air outside. (b) What if the fiber were immersed in water? 43P 44P 45P 46P 47P 48P 49P 50P A stamp collector uses a converging lens with focal length 28 cm to view a stamp 16 cm in front of the lens.(a) Where is the image located? (b) What is the magnification?52P 53P 54P 55P 56P 57P 58P 59P 60P A diverging lens with f= -36.5 cm is placed 14.0 cm behind a converging lens with 20.0 cm.Where will an object at infinity be focused?62P 63P Two lenses, one converging with focal length 20.0 cm and one diverging with focal length -10.0 cm. are placed 25.0 cm apart. An object is placed 60.0 cm in front of the converging lens. Determine (a) the position and (b) the magnification of the final image formed, (c) Sketch a ray diagram for this system.65P A double concave lens has surface radii of 33.4 cm and 28.8 cm. What is the focal length if n =1.52?67P 68P 69P 70P 71P 72GP 73GP 74GP The critical angle of a certain piece of plastic in air is c= 37.8o.What is the critical angle of the same plastic if it is immersed in water?76GP 77GP 78GP 79GP 80GP 77 77. If the apex of a prism is ? = 75o (see Fig. 23-63), what is the minimum incident angle for a ray if it is to emerge from the opposite side (i.e., not be totally internally reflected), given n = 1.58? 82GP 83GP 84GP 85GP 86GP 87GP Figure 23-65is a photograph of an eyeball with the image of a boy in a doorway. (a) Is the eye here acting as a lens or as a mirror? (b) Is the eye being viewed right side up or is the camera taking this photo upside down? (c) Explain, based on all possible images made by a convex mirror or lens. Figure 23-65 89GP 90GP 87 ‘(a) Show that if two thin lenses of focal lengths f1and f2are placed in contact with each other,the focal length of the combination is given by fT= f1f2/(f1+ f2). (b)Show that the power Pof the combination of two lenses is the sum of their separate powers, P= P1 + P2. 92GP 93GP 94GP 1Q 2Q 3Q 4Q 5Q 6Q 7Q 8Q 9Q 10Q 11Q 12Q 13Q 14Q 15Q 16Q 17Q

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