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a) What is the acceleration of the particle? (Enter the magnitude only.) b) What is the direction of the acceleration of the particle relative to the electric field?

a) What is the acceleration of the particle? (Enter the magnitude only.) b) What is the direction of the acceleration of the particle relative to the electric field?

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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Newer automobiles have filters that remove fine particles from exhaust gases. This is done by charging the particles and separating them with a strong electric field. Consider a positively charged particle +4.7 µC that enters an electric field with strength 6 ✕ 106 N/C. The particle is traveling at 21 m/s and has a mass of 10−9 g.

a) What is the acceleration of the particle? (Enter the magnitude only.)

b) What is the direction of the acceleration of the particle relative to the electric field?

The image illustrates a charged particle (denoted by \( q \)) moving with velocity \( \vec{v} \) into a region between two parallel plates, which creates a uniform electric field \( \vec{E} \). ### Description: 1. **Coordinate System:** - The image includes an \( x, y \) coordinate axis for reference, indicating the direction of the velocity and electric field. 2. **Charged Particle:** - The particle is labeled with \( q \) and has a velocity vector \( \vec{v} \) oriented to the right, along the \( x \)-axis. 3. **Electric Field:** - The electric field \( \vec{E} \) is represented by vertical orange arrows pointing downward between two horizontal plates. - This field is uniform, indicating that the field strength does not vary over this region. 4. **Plates:** - The plates are depicted as horizontal blue surfaces, with the top plate above and the bottom plate below the region where the electric field acts. - The setup is typical for illustrating the behavior of a charged particle in an electric field, such as in a capacitor. ### Interpretation: - This diagram could be used to explain fundamental concepts in electromagnetism, such as the behavior of charged particles in electric fields, forces on charges, and potentially the deflection of charges due to electric fields. - The setup indicates the potential for studying how this charge will experience a force due to the electric field, altering its trajectory. This is essential for topics like particle accelerators, cathode ray tubes, or electron beams in physics education.
Transcribed Image Text:The image illustrates a charged particle (denoted by \( q \)) moving with velocity \( \vec{v} \) into a region between two parallel plates, which creates a uniform electric field \( \vec{E} \). ### Description: 1. **Coordinate System:** - The image includes an \( x, y \) coordinate axis for reference, indicating the direction of the velocity and electric field. 2. **Charged Particle:** - The particle is labeled with \( q \) and has a velocity vector \( \vec{v} \) oriented to the right, along the \( x \)-axis. 3. **Electric Field:** - The electric field \( \vec{E} \) is represented by vertical orange arrows pointing downward between two horizontal plates. - This field is uniform, indicating that the field strength does not vary over this region. 4. **Plates:** - The plates are depicted as horizontal blue surfaces, with the top plate above and the bottom plate below the region where the electric field acts. - The setup is typical for illustrating the behavior of a charged particle in an electric field, such as in a capacitor. ### Interpretation: - This diagram could be used to explain fundamental concepts in electromagnetism, such as the behavior of charged particles in electric fields, forces on charges, and potentially the deflection of charges due to electric fields. - The setup indicates the potential for studying how this charge will experience a force due to the electric field, altering its trajectory. This is essential for topics like particle accelerators, cathode ray tubes, or electron beams in physics education.
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