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

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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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

Fundamentals of Physics Extended

Ch. 28 - Prob. 1Q Ch. 28 - Prob. 2Q Ch. 28 - Prob. 3Q Ch. 28 - Prob. 4Q Ch. 28 - In Module 28-2, we discussed a charged particle...Ch. 28 - Figure 28-26 shows crossed uniform electic and...Ch. 28 - Figure 28-27 shows the path of an electron that...Ch. 28 - Figure 28-28 shows the path of an electron in a...Ch. 28 - a In Checkpoint 5, if the dipole moment is rotated...Ch. 28 - Particle round about. Figure 28-29 shows 11 paths...

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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.