Explanation 1) Concept: By taking the scalar product of the magnetic dipole moment μ → of the coil with the magnetic field B → , we can find the orientation energy of the coil. By taking vector product of the magnetic dipole moment μ → and magnetic field B → , we can find the torque on the coil due to the magnetic field. 2) Formula: i) The orientation energy of the magnetic dipole is U = - μ → . B → ii) The magnitude of μ → is μ = N i A iii) Torque on the coil is τ → = μ → × B → 3) Given: i) Fig 28.50 of the textbook. ii) The current through the coil, i = 2.00 A iii) The number of turns of the coil, N = 3.00 iv) The area of coil, A = 4.00 × 10 - 3 m 2 v) The uniform magnetic field, B → = 2.00 i ^ - 3.00 j ^ - 4.00 k ^ m T = 2.00 i ^ - 3.00 j ^ - 4.00 k ^ × 10 - 3 T 4) Calculations: a) The orientation energy of the magnetic dipole is given by U = - μ → . B → Where μ → is the magnetic dipole moment of the coil and B → is the magnetic field We know that the magnitude of μ → is μ = N i A Where i is the current in the coil, N is the number of turns, A is the area of coil. By using the right-hand rule, we see that μ → is in - y direction. Thus, we have, μ = N i A - j ^ μ = - 3 × 2.00 A × 4.00 × 10 - 3 m 2 j ^ μ = - 0.0240 A . m 2 j ^ The corresponding orientation energy is given by U = - μ →

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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 61P

To determine

To find:

a) The orientation energy of the coil in the magnetic field

b) The torque on the coil due to the magnetic field in unit vector notation.

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Chapter 28, Problem 60P

Chapter 28, Problem 62P

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a) The orientation energy of the coil in the magnetic field b) The torque on the coil due to the magnetic field in unit vector notation.

Solution Summary: The author explains how to find the orientation energy of the coil in the magnetic field, and the torque due to it.

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To find: a) The orientation energy of the coil in the magnetic field b) The torque on the coil due to the magnetic field in unit vector notation.

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Chapter 28 Solutions

To find:

a) The orientation energy of the coil in the magnetic field

b) The torque on the coil due to the magnetic field in unit vector notation.