Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Magnetic Field Of Coaxial Cable

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Textbook Question

Chapter 22, Problem 24P

A current loop with magnetic dipole moment μ → is placed in a uniform magnetic field B → , with its moment making angle θ with the field. With the arbitrary choice of U = 0 for θ = 90°, prove that the potential energy of the dipole-field system is U = − μ → ⋅ B → .

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Chapter 22, Problem 23P

Chapter 22, Problem 25P

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Chapter 22 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 22.2 - An electron moves in the plane of this paper...Ch. 22.3 - A charged particle is moving perpendicular to a...Ch. 22.5 - A wire carries current in the plane of this paper...Ch. 22.7 - Consider the magnetic field due to the current in...Ch. 22.8 - Prob. 22.5QQ Ch. 22.9 - Figure 22.30 (Quick Quiz 22.6) Four closed paths...Ch. 22.9 - Prob. 22.7QQ Ch. 22.10 - Consider a solenoid that is very long compared...Ch. 22 - Prob. 1OQ Ch. 22 - What creates a magnetic field? More than one...

Ch. 22 - A charged particle is traveling through a uniform...Ch. 22 - A proton moving horizontally enters a region where...Ch. 22 - Two long, parallel wires each carry the same...Ch. 22 - Two long, straight wires cross each other at a...Ch. 22 - Prob. 7OQ Ch. 22 - Prob. 8OQ Ch. 22 - Answer each question yes or no. (a) Is it possible...Ch. 22 - A long, straight wire carries a current I (Fig....Ch. 22 - A thin copper rod 1.00 m long has a mass of 50.0...Ch. 22 - A magnetic field exerts a torque on each of the...Ch. 22 - Two long, parallel wires carry currents of 20.0 A...Ch. 22 - Prob. 14OQ Ch. 22 - A long solenoid with closely spaced turns carries...Ch. 22 - Solenoid A has length L and N turns, solenoid B...Ch. 22 - Prob. 1CQ Ch. 22 - Prob. 2CQ Ch. 22 - Prob. 3CQ Ch. 22 - Prob. 4CQ Ch. 22 - Prob. 5CQ Ch. 22 - Prob. 6CQ Ch. 22 - Prob. 7CQ Ch. 22 - Imagine you have a compass whose needle can rotate...Ch. 22 - Prob. 9CQ Ch. 22 - Can a constant magnetic field set into motion an...Ch. 22 - Prob. 11CQ Ch. 22 - Prob. 12CQ Ch. 22 - Prob. 13CQ Ch. 22 - Prob. 14CQ Ch. 22 - A proton travels with a speed of 3.00 106 m/s at...Ch. 22 - Determine the initial direction of the deflection...Ch. 22 - An electron is accelerated through 2.40 103 V...Ch. 22 - Prob. 4P Ch. 22 - Prob. 5P Ch. 22 - Prob. 6P Ch. 22 - Prob. 7P Ch. 22 - Prob. 8P Ch. 22 - Review. An electron moves in a circular path...Ch. 22 - A cosmic-ray proton in interstellar space has an...Ch. 22 - Prob. 11P Ch. 22 - Prob. 12P Ch. 22 - Prob. 13P Ch. 22 - Prob. 14P Ch. 22 - Consider the mass spectrometer shown schematically...Ch. 22 - Prob. 16P Ch. 22 - The picture tube in an old black-and-white...Ch. 22 - Prob. 18P Ch. 22 - Prob. 19P Ch. 22 - In Figure P22.20, the cube is 40.0 cm on each...Ch. 22 - Prob. 21P Ch. 22 - Prob. 22P Ch. 22 - A wire 2.80 m in length carries a current of 5.00...Ch. 22 - A current loop with magnetic dipole moment is...Ch. 22 - A rectangular coil consists of N = 100 closely...Ch. 22 - Prob. 26P Ch. 22 - Prob. 27P Ch. 22 - Prob. 28P Ch. 22 - Calculate the magnitude of the magnetic field at a...Ch. 22 - An infinitely long wire carrying a current I is...Ch. 22 - Prob. 31P Ch. 22 - Prob. 32P Ch. 22 - One long wire carries current 30.0 A to the left...Ch. 22 - Prob. 34P Ch. 22 - Prob. 35P Ch. 22 - Prob. 36P Ch. 22 - Prob. 37P Ch. 22 - 3. In Niels Bohr’s 1913 model of the hydrogen...Ch. 22 - Review. In studies of the possibility of migrating...Ch. 22 - Prob. 40P Ch. 22 - Prob. 41P Ch. 22 - Prob. 42P Ch. 22 - In Figure P22.43, the current in the long,...Ch. 22 - Prob. 44P Ch. 22 - Prob. 45P Ch. 22 - Prob. 46P Ch. 22 - Prob. 47P Ch. 22 - A packed bundle of 100 long, straight, insulated...Ch. 22 - Prob. 49P Ch. 22 - Prob. 50P Ch. 22 - Prob. 51P Ch. 22 - Prob. 52P Ch. 22 - A long, straight wire lies on a horizontal table...Ch. 22 - Prob. 54P Ch. 22 - A single-turn square loop of wire, 2.00 cm on each...Ch. 22 - Prob. 56P Ch. 22 - A long solenoid that has 1 000 turns uniformly...Ch. 22 - A solenoid 10.0 cm in diameter and 75.0 cm long is...Ch. 22 - Prob. 59P Ch. 22 - In Niels Bohr’s 1913 model of the hydrogen atom,...Ch. 22 - Prob. 61P Ch. 22 - Prob. 62P Ch. 22 - Prob. 63P Ch. 22 - Prob. 64P Ch. 22 - Prob. 65P Ch. 22 - The Hall effect finds important application in the...Ch. 22 - Prob. 67P Ch. 22 - Prob. 68P Ch. 22 - Prob. 69P Ch. 22 - Prob. 70P Ch. 22 - Assume the region to the right of a certain plane...Ch. 22 - Prob. 72P Ch. 22 - Prob. 73P Ch. 22 - Prob. 74P Ch. 22 - Prob. 75P Ch. 22 - Review. Rail guns have been suggested for...Ch. 22 - Prob. 77P Ch. 22 - Prob. 78P Ch. 22 - Prob. 79P Ch. 22 - Prob. 80P Ch. 22 - Prob. 81P

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A current loop with magnetic dipole moment μ → is placed in a uniform magnetic field B → , with its moment making angle θ with the field. With the arbitrary choice of U = 0 for θ = 90°, prove that the potential energy of the dipole-field system is U = − μ → ⋅ B → .

Solution Summary: The author explains the potential energy of the dipole-field system, where the integral limits is from 90° to theta .

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Chapter 22 Solutions