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B5) (9 Bout

B5) (9 Bout

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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35) What is the direction of the magnetic field that produces the magnetic force shown on the currents in each of the three cases, assuming ?⃗  is perpendicular to I?

 

### Explanation of Lorentz Force Diagrams This educational content covers the application of the Lorentz force in different scenarios, depicted through three diagrams labeled \( a) \), \( b) \), and \( c) \). The fundamental equation portrayed is: \[ \vec{F} = I \, \vec{\ell} \times \vec{B} \] where \( \vec{F} \) is the force, \( I \) is the current, \( \vec{\ell} \) is the length vector in the direction of the current, and \( \vec{B} \) is the magnetic field. #### Diagram Descriptions 1. **Diagram \( a) \):** - **Current (\( I \))**: Directed upwards. - **Magnetic Field (\( \vec{B}_{\text{IN}} \))**: Represented as coming out of the plane of the paper (indicated by a circle with a cross, resembling an arrow entering the surface). - **Force (\( \vec{F}_a \))**: Directed to the left, showing the resultant force due to the interaction between the current and the magnetic field. 2. **Diagram \( b) \):** - **Current (\( I \))**: Directed downwards. - **Magnetic Field (\( \vec{B} \))**: Represented as into the plane of the paper (indicated by a circle with an arrow head, resembling an arrow exiting the surface). - **Force (\( \vec{F}_b \))**: Directed horizontally to the left, perpendicular to both the current and magnetic field directions. 3. **Diagram \( c) \):** - **Current (\( I \))**: Directed horizontally to the left. - **Magnetic Field (\( \vec{B}_{\text{OUT}} \))**: Represented as out of the plane of the paper (indicated by a circle with a dot, resembling the tip of an arrow). - **Force (\( \vec{F}_c \))**: Directed upwards, again indicating the perpendicular interaction of the current and magnetic field. These illustrations visually demonstrate how the direction of the force changes with changes in the directions of the current and magnetic field, adhering to the right-hand rule often used in physics to predict the direction of cross-product results in a three-dimensional
Transcribed Image Text:### Explanation of Lorentz Force Diagrams This educational content covers the application of the Lorentz force in different scenarios, depicted through three diagrams labeled \( a) \), \( b) \), and \( c) \). The fundamental equation portrayed is: \[ \vec{F} = I \, \vec{\ell} \times \vec{B} \] where \( \vec{F} \) is the force, \( I \) is the current, \( \vec{\ell} \) is the length vector in the direction of the current, and \( \vec{B} \) is the magnetic field. #### Diagram Descriptions 1. **Diagram \( a) \):** - **Current (\( I \))**: Directed upwards. - **Magnetic Field (\( \vec{B}_{\text{IN}} \))**: Represented as coming out of the plane of the paper (indicated by a circle with a cross, resembling an arrow entering the surface). - **Force (\( \vec{F}_a \))**: Directed to the left, showing the resultant force due to the interaction between the current and the magnetic field. 2. **Diagram \( b) \):** - **Current (\( I \))**: Directed downwards. - **Magnetic Field (\( \vec{B} \))**: Represented as into the plane of the paper (indicated by a circle with an arrow head, resembling an arrow exiting the surface). - **Force (\( \vec{F}_b \))**: Directed horizontally to the left, perpendicular to both the current and magnetic field directions. 3. **Diagram \( c) \):** - **Current (\( I \))**: Directed horizontally to the left. - **Magnetic Field (\( \vec{B}_{\text{OUT}} \))**: Represented as out of the plane of the paper (indicated by a circle with a dot, resembling the tip of an arrow). - **Force (\( \vec{F}_c \))**: Directed upwards, again indicating the perpendicular interaction of the current and magnetic field. These illustrations visually demonstrate how the direction of the force changes with changes in the directions of the current and magnetic field, adhering to the right-hand rule often used in physics to predict the direction of cross-product results in a three-dimensional
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