Explanation 1) Concept: The magnetic force on the wire must be in the upward direction, and it must be balanced by the gravitational force of the rod. So, by equating the two forces, we can find the magnitude of the current. To find the direction of the current, we have to use the right-hand rule. 2) Formula: i) Magnetic force, F B = i L B s i n θ ii) Magnetic force in vector form F B → = i L → × B → iii) Gravitational force F = m g 3) Given: i) Mass of the wire, m = 13.0 g = 0.013 k g ii) Magnetic field, B = 0.440 T iii) Length of the rod, L = 62.0 c m = 0.620 m 4) Calculations: a) The magnetic force is given by F B = i L B s i n θ Where i = C u r r e n t , L = L e n g t h o f t h e c o n d u c t o r , B = M a g n e t i c f i

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 41P

To determine

To Find:

a) Magnitude of the current

b) Direction of the current

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Chapter 28, Problem 40P

Chapter 28, Problem 42P

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Chapter 28 Solutions

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a) Magnitude of the current b) Direction of the current

Solution Summary: The author explains that the magnetic force on the wire must be in the upward direction, and it has to be balanced by the gravitational force of the rod.

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To Find: a) Magnitude of the current b) Direction of the current

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Chapter 28 Solutions

To Find:

a) Magnitude of the current

b) Direction of the current