Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 30, Problem 40AP
To determine

To show: The magnitude of emf generated between the ends of the rod is μ0vIl2πr .

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A conducting rod moves with a constant velocity in a direction perpendicular to a long, straight wire carrying a current I as shown in Figure P30.40. Show that the magnitude of the emf generated between the ends of the rod isChapter 30, Problem 40AP, A conducting rod moves with a constant velocity in a direction perpendicular to a long, straight , example 1In this case, note that the emf decreases with increasing r as you might expect.Figure P30.40Chapter 30, Problem 40AP, A conducting rod moves with a constant velocity in a perpendicular to a long, straight , example 2
30. A short wire runs along an x axis from x = a to x = -a (Figure P30.30). At t = 0, there is a small sphere carry- ing charge +9o at x = a and a small sphere carrying charge -9o at x = -a. As the spheres discharge and a current is established in the wire, show that, for t>0, the generalized form of Ampère's law (Eq. 30.13) and the Biot-Savart law (Eq. 28.12) give the same result for the magnitude of the mag- netic field a distance b up the y axis. (Hint: Obtain the elec- tric flux through a circular disk in the yz plane, centered at the origin. Because the electric field is not constant over the surface of the disk, you must divide the disk into a nested set of rings of various radii and integrate. A representative ring should have radius r and radial extent dr.) •.. Figure P30.30 b -90
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Chapter 30 Solutions

Physics for Scientists and Engineers

Ch. 30 - A coil formed by wrapping 50 turns of wire in the...Ch. 30 - When a wire carries an AC current with a known...Ch. 30 - A toroid having a rectangular cross section (a =...Ch. 30 - A small airplane with a wingspan of 14.0 m is...Ch. 30 - A helicopter (Fig. P30.11) has blades of length...Ch. 30 - A 2.00-m length of wire is held in an eastwest...Ch. 30 - A metal rod of mass m slides without friction...Ch. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - An astronaut is connected to her spacecraft by a...Ch. 30 - You are working for a company that manufactures...Ch. 30 - You are working in a laboratory that uses motional...Ch. 30 - You are working in a factory that produces long...Ch. 30 - You are working in a factory that produces long...Ch. 30 - Within the green dashed circle show in Figure...Ch. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Figure P30.24 (page 820) is a graph of the induced...Ch. 30 - The rotating loop in an AC generator is a square...Ch. 30 - In Figure P30.26, a semicircular conductor of...Ch. 30 - Prob. 27PCh. 30 - Suppose you wrap wire onto the core from a roll of...Ch. 30 - A rectangular loop of area A = 0.160 m2 is placed...Ch. 30 - A rectangular loop of area A is placed in a region...Ch. 30 - A circular coil enclosing an area of 100 cm2 is...Ch. 30 - Consider the apparatus shown in Figure P30.32: a...Ch. 30 - A guitars steel string vibrates (see Fig. 30.5)....Ch. 30 - Why is the following situation impossible? A...Ch. 30 - A conducting rod of length = 35.0 cm is free to...Ch. 30 - Magnetic field values are often determined by...Ch. 30 - The plane of a square loop of wire with edge...Ch. 30 - In Figure P30.38, the rolling axle, 1.50 m long,...Ch. 30 - Figure P30.39 shows a stationary conductor whose...Ch. 30 - Prob. 40APCh. 30 - Figure P30.41 shows a compact, circular coil with...Ch. 30 - Review. In Figure P30.42, a uniform magnetic field...Ch. 30 - An N-turn square coil with side and resistance R...Ch. 30 - A conducting rod of length moves with velocity v...Ch. 30 - A long, straight wire carries a current given by I...Ch. 30 - A rectangular loop of dimensions and w moves with...Ch. 30 - A thin wire = 30.0 cm long is held parallel to...Ch. 30 - An induction furnace uses electromagnetic...Ch. 30 - Prob. 49CPCh. 30 - A betatron is a device that accelerates electrons...Ch. 30 - Review. The bar of mass m in Figure P30.51 is...
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