Explanation 1) Concept: When a coil carries current, it creates a magnetic dipole moment. We can find the current through the coil by substituting the given values in the formula for magnetic dipole moment. The torque acting on the coil due to external magnetic field is given by the cross product of the magnetic dipole moment of the loop and the external magnetic field. 2) Formula: i) μ = N i A ii) τ = μ → × B → = μ B s i n θ 3) Given: i) The number of turns of the coil = N = 160 ii) The radius of the coil = r = 1.90 c m = 0.019 m iii) The magnetic dipole moment of the coil = μ = 2.30 A . m 2 iv) The external magnetic field = B = 35.0 m T = 35.0 × 10 - 3 T 4) Calculations: a) The magnetic moment is calculated as μ = N i A Since A = π r 2 , ∴ μ = N i π r 2 Rearranging the equation, i = μ N π r 2 i = 2

10th Edition

ISBN: 9781118230718

Author: David Halliday

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 57P

To determine

To find:

a) The current through the coil

b) The maximum magnitude of the torque acting on the coil

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Chapter 28, Problem 56P

Chapter 28, Problem 58P

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Chapter 28 Solutions

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a) The current through the coil b) The maximum magnitude of the torque acting on the coil

Solution Summary: The author calculates the torque acting on the coil due to external magnetic field by substituting the given values in the formula for magnetic dipole moment.

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To find: a) The current through the coil b) The maximum magnitude of the torque acting on the coil

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Chapter 28 Solutions

To find:

a) The current through the coil

b) The maximum magnitude of the torque acting on the coil