Explanation 1) Concept: By taking cross product of magnetic moment vector and magnetic field vector, we can find the angle between B → and the coil’s magnetic dipole moment when the torque is maximized. By finding the equation of radius r of coil in the form of length of the wire and substituting it in the formula for the magnetic moment, we can find the number of turns in the coil when the magnetic moment is maximized. We can find the magnitude of the maximum torque by using its formula. 2) Formula: i) The torque is given by τ → = μ → × B → ii) The length of wire is L = N 2 π r iii) The magnitude of the magnetic moment is μ = N i A iv) The magnitude of the maximum torque is given by τ m a x = μ B 3) Given: i) The length of the wire is L = 25.0 c m = 0.25 m . ii) The current in the coil is i = 4.51 m A = 4.51 × 10 - 3 A . iii) The magnitude of magnetic field is B = 5.71 m T = 5.71 × 10 - 3 T . 4) Calculations: a) We know that torque is given by τ → = μ → × B → τ → = μ B s i n θ The torque is maximum when θ = 90 ° Therefore, when the torque is maximized, the angle between B → and coil’s magnetic dipole moment is θ = 90 ° b) The length of wire is L = N 2 π r Where N is the number of turns of the coil, 2 π r is the circumference of the coil

11th Edition

ISBN: 9781119286240

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: WILEY

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Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

Chapter 28, Problem 65P

To determine

To find:

a) The angle between B→ and the coil’s magnetic dipole moment.

b) The number of turns in the coil.

c) The magnitude of the maximum torque.

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Chapter 28, Problem 64P

Chapter 28, Problem 66P

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Chapter 28 Solutions

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Ch. 28 - Prob. 11Q Ch. 28 - Prob. 12Q Ch. 28 - Prob. 1P Ch. 28 - A particle of mass 10 g and charge 80 C moves...Ch. 28 - An electron that has an instantaneous velocity of...Ch. 28 - An alpa particle travels at a velocity of...Ch. 28 - GO An electron moves through a unifrom magnetic...Ch. 28 - Prob. 6P Ch. 28 - Prob. 7P Ch. 28 - An electric field of 1.50 kV/m and a perpendicular...Ch. 28 - ILW In Fig. 28-32, an electron accelerated from...Ch. 28 - A proton travels through uniform magnetic and...Ch. 28 - Prob. 11P Ch. 28 - Go At time t1 an electron is sent along the...Ch. 28 - Prob. 13P Ch. 28 - A metal strip 6.50 cm long, 0.850 cm wide, and...Ch. 28 - Prob. 15P Ch. 28 - Prob. 16P Ch. 28 - An alpha particle can be produced in certain...Ch. 28 - Prob. 18P Ch. 28 - Prob. 19P Ch. 28 - Prob. 20P Ch. 28 - SSM An electron of kinetic energy 1.20 keV circles...Ch. 28 - In a nuclear experiment a proton with kinetic...Ch. 28 - What uniform magnetic field, applied perpendicular...Ch. 28 - An electron is accelerated from rest by a...Ch. 28 - a Find the frequency of revolution of an electron...Ch. 28 - Prob. 26P Ch. 28 - A mass spectrometer Fig. 28-12 is used to separate...Ch. 28 - A particle undergoes uniform circular motion of...Ch. 28 - An electron follows a helical path in a uniform...Ch. 28 - GO In Fig. 28-40. an electron with an initial...Ch. 28 - A particular type of fundamental particle decays...Ch. 28 - An source injects an electron of speed v = 1.5 ...Ch. 28 - Prob. 33P Ch. 28 - An electron follows a helical path in a uniform...Ch. 28 - A proton circulates in a cyclotron, beginning...Ch. 28 - Prob. 36P Ch. 28 - Prob. 37P Ch. 28 - In a certain cyclotron a proton moves in a circle...Ch. 28 - SSM A horizontal power line carries a current of...Ch. 28 - A wire 1.80 m long carries a current of 13.0 A and...Ch. 28 - Prob. 41P Ch. 28 - Prob. 42P Ch. 28 - A single-turn current loop, carrying a current of...Ch. 28 - Prob. 44P Ch. 28 - ACA /ACwire 50.0 cm long carries a 0.500 A current...Ch. 28 - In Fig. 28-44, a metal wire of mass m = 24.1 mg...Ch. 28 - GO A 1.0 kg copper rod rests on two horizontal...Ch. 28 - GO A long, rigid conductor, lying along an x axis,...Ch. 28 - Prob. 49P Ch. 28 - An electron moves in a circle of radius r = 5.29 ...Ch. 28 - Prob. 51P Ch. 28 - Prob. 52P Ch. 28 - Prob. 53P Ch. 28 - A magnetic dipole with a dipole moment of...Ch. 28 - Prob. 55P Ch. 28 - Prob. 56P Ch. 28 - Prob. 57P Ch. 28 - Prob. 58P Ch. 28 - A Current loop, carrying a current of 5.0 A, is in...Ch. 28 - Prob. 60P Ch. 28 - Prob. 61P Ch. 28 - Prob. 62P Ch. 28 - A circular loop of wire having a radius of 8.0 cm...Ch. 28 - GO Figure 28-52 gives the orientation energy U of...Ch. 28 - Prob. 65P Ch. 28 - Prob. 66P Ch. 28 - A stationary circular wall clock has a face with a...Ch. 28 - A wire lying along a y axis from y = 0 to y =...Ch. 28 - Atom 1 of mass 35 u and atom 2 of mass 37 u are...Ch. 28 - Prob. 70P Ch. 28 - Physicist S. A. Goudsmit devised a method for...Ch. 28 - A beam of electrons whose kinetic energy is K...Ch. 28 - Prob. 73P Ch. 28 - Prob. 74P Ch. 28 - Prob. 75P Ch. 28 - Prob. 76P Ch. 28 - Prob. 77P Ch. 28 - In Fig. 28-8, show that the ratio of the Hall...Ch. 28 - Prob. 79P Ch. 28 - An electron is moving at 7.20 106 m/s in a...Ch. 28 - Prob. 81P Ch. 28 - Prob. 82P Ch. 28 - Prob. 83P Ch. 28 - A write lying along an x axis from x = 0 to x =...Ch. 28 - Prob. 85P Ch. 28 - Prob. 86P Ch. 28 - Prob. 87P Ch. 28 - Prob. 88P Ch. 28 - In Fig. 28-58, an electron of mass m, charge e,...Ch. 28 - Prob. 90P Ch. 28 - Prob. 91P Ch. 28 - An electron that is moving through a uniform...

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a) The angle between B → and the coil’s magnetic dipole moment. b) The number of turns in the coil. c) The magnitude of the maximum torque.

Solution Summary: The author explains how to find the angle between stackreltoB and the coil’s magnetic dipole moment when the torque is maximized.

Concept explainers

To find:

a) The angle between B→ and the coil’s magnetic dipole moment.

b) The number of turns in the coil.

c) The magnitude of the maximum torque.

Want to see the full answer?

Chapter 28 Solutions

a) The angle between B → and the coil’s magnetic dipole moment. b) The number of turns in the coil. c) The magnitude of the maximum torque.

Solution Summary: The author explains how to find the angle between stackreltoB and the coil’s magnetic dipole moment when the torque is maximized.

Concept explainers

To find: a) The angle between B→ and the coil’s magnetic dipole moment. b) The number of turns in the coil. c) The magnitude of the maximum torque.

Want to see the full answer?

Chapter 28 Solutions

To find:

a) The angle between B→ and the coil’s magnetic dipole moment.

b) The number of turns in the coil.

c) The magnitude of the maximum torque.