University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 28, Problem 28.69P
CALC A long, straight wire with a circular cross section of radius R carries a current I. Assume that the current density is not constant across the cross section of the wire, but rather varies as J = αr, where α is a constant, (a) By the requirement that J integrated over the cross section of the wire gives the total current I, calculate the constant α in terms of I and R. (b) Use Ampere’s law to calculate the magnetic field B(r) for (i) r ≤ R and (ii) r ≥ R. Express your answers in terms of I.
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Chapter 28 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 28.1 - (a) If two protons are traveling parallel to each...Ch. 28.2 - An infinitesimal current element located at the...Ch. 28.3 - The accompanying figure shows a circuit that lies...Ch. 28.4 - A solenoid is a wire wound into a helical coil....Ch. 28.5 - Prob. 28.5TYUCh. 28.6 - The accompanying figure shows magnetic field lines...Ch. 28.7 - Prob. 28.7TYUCh. 28.8 - Which of the following materials are attracted to...Ch. 28 - A topic of current interest in physics research is...Ch. 28 - Streams of charged particles emitted from the sun...
Ch. 28 - The text discussed the magnetic field of an...Ch. 28 - Prob. 28.4DQCh. 28 - Pairs of conductors carrying current into or out...Ch. 28 - Suppose you have three long, parallel wires...Ch. 28 - In deriving the force on one of the long,...Ch. 28 - Two concentric, coplanar, circular loops of wire...Ch. 28 - A current was sent through a helical coil spring....Ch. 28 - Prob. 28.10DQCh. 28 - Prob. 28.11DQCh. 28 - Two very long, parallel wires carry equal currents...Ch. 28 - In the circuit shown in Fig. Q28.13, when switch S...Ch. 28 - A metal ring carries a current that causes a...Ch. 28 - Prob. 28.15DQCh. 28 - Prob. 28.16DQCh. 28 - If a magnet is suspended over a container of...Ch. 28 - Prob. 28.18DQCh. 28 - Prob. 28.19DQCh. 28 - A cylinder of iron is placed so that it is free to...Ch. 28 - Prob. 28.1ECh. 28 - Prob. 28.2ECh. 28 - An electron moves at 0.100c as shown in Fig....Ch. 28 - An alpha particle (charge +2e) and an electron...Ch. 28 - A 4.80-C charge is moving at a constant speed of...Ch. 28 - Positive point charges q = +8.00 C and q' = +3.00...Ch. 28 - A negative charge q = 3.60 106 C is located at...Ch. 28 - An electron and a proton are each moving at 735...Ch. 28 - A straight wire carries a 10.0-A current (Fig....Ch. 28 - A short current element dl = (0.500 mm) carries a...Ch. 28 - A long, straight wire lies along the z-axis and...Ch. 28 - Two parallel wires are 5.00 cm apart and carry...Ch. 28 - Prob. 28.13ECh. 28 - A square wire loop 10.0 cm on each side carries a...Ch. 28 - The Magnetic Field from a Lightning Bolt....Ch. 28 - A very long, straight horizontal wire carries a...Ch. 28 - Prob. 28.17ECh. 28 - BIO Bacteria Navigation. Certain bacteria (such as...Ch. 28 - (a) How large a current would a very long,...Ch. 28 - Two long, straight wires, one above the other, are...Ch. 28 - A long, straight wire lies along the y-axis and...Ch. 28 - BIO Transmission Lines and Health. Currents in dc...Ch. 28 - Two long, straight, parallel wires, 10.0 cm apart,...Ch. 28 - A rectangular loop with dimensions 4.20 cm by 9.50...Ch. 28 - Four, long, parallel power lines each carry 100-A...Ch. 28 - Four very long, current-carrying wires in the same...Ch. 28 - Two very long insulated wires perpendicular to...Ch. 28 - Three very long parallel wires each carry current...Ch. 28 - Two long, parallel wires arc separated by a...Ch. 28 - Prob. 28.30ECh. 28 - Lamp Cord Wires. The wires in a household lamp...Ch. 28 - Prob. 28.32ECh. 28 - BIO Currents in the Brain. The magnetic field...Ch. 28 - Calculate the magnitude and direction of the...Ch. 28 - Calculate the magnitude of the magnetic field at...Ch. 28 - A closely wound, circular coil with radius 2.40 cm...Ch. 28 - A single circular current loop 10.0 cm in diameter...Ch. 28 - A closely wound coil has a radius of 6.00 cm and...Ch. 28 - Two concentric circular loops of wire lie on a...Ch. 28 - Figure E28.40 shows, in cross section, several...Ch. 28 - A closed curve encircles several conductors. The...Ch. 28 - As a new electrical technician, you are designing...Ch. 28 - Prob. 28.43ECh. 28 - Prob. 28.44ECh. 28 - A solenoid that is 35 cm long and contains 450...Ch. 28 - A 15.0-cm-long solenoid with radius 0.750 cm is...Ch. 28 - A solenoid is designed to produce a magnetic field...Ch. 28 - A toroidal solenoid has an inner radius of 12.0 cm...Ch. 28 - A magnetic field of 37.2 T has been achieved at...Ch. 28 - An ideal toroidal solenoid (see Example 28.10) has...Ch. 28 - A wooden ring whose mean diameter is 14.0 cm is...Ch. 28 - A toroidal solenoid with 400 turns of wire and a...Ch. 28 - A long solenoid with 60 turns of wire per...Ch. 28 - The current in the windings of a toroidal solenoid...Ch. 28 - A pair of point charges, q = +8.00 C and q' = 5.00...Ch. 28 - At a particular instant, charge q1 = +4.80 106C...Ch. 28 - Two long, parallel transmission lines, 40.0 cm...Ch. 28 - A long, straight wire carries a current of 8.60 A....Ch. 28 - Prob. 28.59PCh. 28 - Prob. 28.60PCh. 28 - An electric bus operates by drawing direct current...Ch. 28 - Figure P28.62 shows an end view of two long,...Ch. 28 - Prob. 28.63PCh. 28 - The long, straight wire AB shown in Fig. P28.64...Ch. 28 - CP Two long, parallel wires hang by 4.00-cm-long...Ch. 28 - The wire semicircles shown in Fig. P28.66 have...Ch. 28 - CALC Helmholtz Coils. Figure P28.67 is a sectional...Ch. 28 - Prob. 28.68PCh. 28 - CALC A long, straight wire with a circular cross...Ch. 28 - CALC The wire shown in Fig. P28.70 is infinitely...Ch. 28 - Prob. 28.71PCh. 28 - Prob. 28.72PCh. 28 - An Infinite Current Sheet. Long, straight...Ch. 28 - Long, straight conductors with square cross...Ch. 28 - A long, straight, solid cylinder, oriented with...Ch. 28 - Prob. 28.76PCh. 28 - DATA You use a teslameter (a Hall-effect device)...Ch. 28 - DATA A pair of long, rigid metal rods, each of...Ch. 28 - CP Two long, straight conducting wires with linear...Ch. 28 - Prob. 28.80CPCh. 28 - BIO STUDYING MAGNETIC BACTERIA. Some types of...Ch. 28 - Prob. 28.82PPCh. 28 - The solenoid is removed from the enclosure and...
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