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-L- mg B

-L- mg B

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A horizontal metal bar of mass mmm and length L is vertically suspended from two conducting wires, as shown in the figure. A uniform magnetic field of magnitude B points vertically downward.

Find the angle θ the suspending wires make with the vertical when the bar carries a current I.
Express your answer in terms of the variables m, L, B, I, and appropriate constants.
 
The image illustrates a metal rod positioned within a magnetic field. Here's the breakdown of the diagram's components: - **Rod:** The rod is oriented horizontally and is labeled with length \(L\). - **Current (\(I\)):** The rod carries a current denoted as \(I\) flowing through it. - **Angles (\(\theta\)):** The current carrying wires form angles \(\theta\) with the horizontal both on the left and right sides of the rod. - **Magnetic Field (\(\vec{B}\)):** A magnetic field is represented by a vertical blue arrow pointing downward, labeled \(\vec{B}\). - **Weight:** The gravitational force acting downwards on the rod is shown by a red arrow labeled \(mg\). - **Forces and Directions:** - The green arrows illustrate the direction of the current and likely the conventional flow of electricity through the wires. - The red arrow labeled \(mg\) indicates the force of gravity acting on the rod. This setup is commonly used in physics to demonstrate concepts such as magnetic force, torque, and equilibrium in the context of electromagnetism. The interaction between the magnetic field and the current-carrying conductor can lead to forces that help in understanding magnetic effects in practical applications.
Transcribed Image Text:The image illustrates a metal rod positioned within a magnetic field. Here's the breakdown of the diagram's components: - **Rod:** The rod is oriented horizontally and is labeled with length \(L\). - **Current (\(I\)):** The rod carries a current denoted as \(I\) flowing through it. - **Angles (\(\theta\)):** The current carrying wires form angles \(\theta\) with the horizontal both on the left and right sides of the rod. - **Magnetic Field (\(\vec{B}\)):** A magnetic field is represented by a vertical blue arrow pointing downward, labeled \(\vec{B}\). - **Weight:** The gravitational force acting downwards on the rod is shown by a red arrow labeled \(mg\). - **Forces and Directions:** - The green arrows illustrate the direction of the current and likely the conventional flow of electricity through the wires. - The red arrow labeled \(mg\) indicates the force of gravity acting on the rod. This setup is commonly used in physics to demonstrate concepts such as magnetic force, torque, and equilibrium in the context of electromagnetism. The interaction between the magnetic field and the current-carrying conductor can lead to forces that help in understanding magnetic effects in practical applications.
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