Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 30, Problem 30.70CP

We have seen that a long solenoid produces a uniform magnetic field directed along the axis of a cylindrical region. To produce a uniform magnetic field directed parallel to a diameter of a cylindrical region, however, one can use the saddle coils illustrated in Figure P29.46. The loops are wrapped over a long, somewhat flattened tube. Figure P29.46a shows one wrapping of wire around the tube. This wrapping is continued in this manner until the visible side has many long sections of wire carrying current to the left in Figure P29.46a and the back side has many lengths carrying current to the right. The end view of the tube in Figure P29.46b shows these wires and the currents they carry. By wrapping the wires carefully, the distribution of wires can take the shape suggested in the end view such that the overall current distribution is approximately the superposition of two overlapping, circular cylinders of radius R (shown by the dashed lines) with uniformly distributed current, one toward you and one away from you. The current density J is the same for each cylinder. The center of one cylinder is described by a position vector d relative to the center of the other cylinder. Prove that the magnetic field inside the hollow tube is μ0Jd/2 downward. Suggestion: The use of vector methods simplifies the calculation.

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Chapter 30 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

Ch. 30 - A long, vertical, metallic wire carries downward...Ch. 30 - Suppose you are facing a tall makeup mirror on a...Ch. 30 - A long, straight wire carries a current I (Fig....Ch. 30 - Prob. 30.9OQCh. 30 - Consider the two parallel wires carrying currents...Ch. 30 - What creates a magnetic Hold? More than one answer...Ch. 30 - A long solenoid with closely spaced turns carries...Ch. 30 - A uniform magnetic field is directed along the x...Ch. 30 - Rank the magnitudes of the following magnetic...Ch. 30 - Solenoid A has length L and N turns, solenoid B...Ch. 30 - Is the magnetic field created by a current loop...Ch. 30 - One pole of a magnet attracts a nail. Will the...Ch. 30 - Prob. 30.3CQCh. 30 - A hollow copper tube carries a current along its...Ch. 30 - Imagine you have a compass whose needle can rotate...Ch. 30 - Prob. 30.6CQCh. 30 - A magnet attracts a piece of iron. The iron can...Ch. 30 - Why does hitting a magnet with a hammer cause the...Ch. 30 - The quantity B ds in Amperes law is called...Ch. 30 - Figure CQ30.10 shows four permanent magnets, each...Ch. 30 - Explain why two parallel wires carrying currents...Ch. 30 - Consider a magnetic field that is uniform in...Ch. 30 - Review. In studies of the possibility of migrating...Ch. 30 - In each of parts (a) through (c) of Figure P30.2....Ch. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Calculate the magnitude of the magnetic field at a...Ch. 30 - Prob. 30.5PCh. 30 - In Niels Bohrs 1913 model of the hydrogen atom, an...Ch. 30 - Prob. 30.7PCh. 30 - A conductor consists of a circular loop of radius...Ch. 30 - Two long, straight, parallel wires carry currents...Ch. 30 - Prob. 30.10PCh. 30 - Prob. 30.11PCh. 30 - Consider a flat, circular current loop of radius R...Ch. 30 - A current path shaped as shown in Figure P30.13...Ch. 30 - One long wire carries current 30.0 A to the left...Ch. 30 - Prob. 30.15PCh. 30 - In a long, .straight, vertical lightning stroke,...Ch. 30 - Determine the magnetic field (in terms of I, a,...Ch. 30 - Prob. 30.18PCh. 30 - Determine the magnetic field (in terms of I, a,...Ch. 30 - Two long, parallel wires carry currents of I1 =...Ch. 30 - Two long, parallel conductors, separated by 10.0...Ch. 30 - Prob. 30.22PCh. 30 - Prob. 30.23PCh. 30 - Prob. 30.24PCh. 30 - Prob. 30.25PCh. 30 - In Figure P30.25, the current in the long,...Ch. 30 - Two long, parallel wires are attracted to each...Ch. 30 - Why is the following situation impossible? Two...Ch. 30 - Prob. 30.29PCh. 30 - Niobium metal becomes a superconductor when cooled...Ch. 30 - Figure P30.31 Is a cross-sectional view of a...Ch. 30 - The magnetic coils of a tokamak fusion reactor are...Ch. 30 - A long, straight wire lies on a horizontal table...Ch. 30 - An infinite sheet of current lying in the yz plane...Ch. 30 - The magnetic field 40.0 cm away from a long,...Ch. 30 - A packed bundle of 100 long, straight, insulated...Ch. 30 - Prob. 30.37PCh. 30 - Prob. 30.38PCh. 30 - Prob. 30.39PCh. 30 - A certain superconducting magnet in the form of a...Ch. 30 - A long solenoid that has 1 000 turns uniformly...Ch. 30 - You are given a certain volume of copper from...Ch. 30 - A single-turn square loop of wire, 2.00 cm on each...Ch. 30 - A solenoid 10.0 cm in diameter and 75.0 cm long is...Ch. 30 - It is desired to construct a solenoid that will...Ch. 30 - Prob. 30.46PCh. 30 - A cube of edge length l=2.50 cm is positioned as...Ch. 30 - A solenoid of radius r = 1.25 cm and length =...Ch. 30 - The magnetic moment of the Earth is approximately...Ch. 30 - At saturation, when nearly all the atoms have...Ch. 30 - A 30.0-turn solenoid of length 6.00 cm produces a...Ch. 30 - Prob. 30.52APCh. 30 - Suppose you install a compass on the center of a...Ch. 30 - Why is the following situation impossible? The...Ch. 30 - A nonconducting ring of radius 10.0 cm is...Ch. 30 - Prob. 30.56APCh. 30 - Prob. 30.57APCh. 30 - A circular coil of five turns and a diameter of...Ch. 30 - A very large parallel-plate capacitor has uniform...Ch. 30 - Two circular coils of radius R, each with N turns,...Ch. 30 - Prob. 30.61APCh. 30 - Two circular loops are parallel, coaxial, and...Ch. 30 - Prob. 30.63APCh. 30 - Prob. 30.64APCh. 30 - As seen in previous chapters, any object with...Ch. 30 - Review. Rail guns have been suggested for...Ch. 30 - Prob. 30.67APCh. 30 - An infinitely long, straight wire carrying a...Ch. 30 - Prob. 30.69CPCh. 30 - We have seen that a long solenoid produces a...Ch. 30 - Prob. 30.71CPCh. 30 - Prob. 30.72CPCh. 30 - A wire carrying a current I is bent into the shape...Ch. 30 - Prob. 30.74CPCh. 30 - Prob. 30.75CPCh. 30 - Prob. 30.76CPCh. 30 - The magnitude of the force on a magnetic dipole ...
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