College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A charge of 4.17 x 10^6 C moves to the right as shown through a region containing both a magnetic field of strength 2.12 T directed into the screen and an electric field of strength 1.78 x 10^5 N/C directed downward. The charge continues through the region at a constant velocity (no acceleration). What is the charge s speed? 

8.40E+03 m/s 

8.40E+04 m/s 

6.72E+04 m/s 

5.04E+04 m/s 

The diagram illustrates a particle moving within a region influenced by both electric and magnetic fields. The key elements are:

1. **Magnetic Field (B):** 
   - Represented by 'X' symbols, indicating that the magnetic field is directed into the page (or screen).

2. **Particle Motion (v):**
   - A particle is moving with velocity \( v \) horizontally across the field.

3. **Electric Field (E):**
   - The electric field (\( E \)) is depicted with downward-pointing arrows, showing a uniform direction vertically downward.

4. **Forces on the Particle:**
   - **Magnetic Force (Fm):** Directed upwards, perpendicular to both the velocity of the particle and the magnetic field. This force is a result of the particle's motion through the magnetic field.
   - **Electric Force (Fe):** Directed downwards, parallel to the direction of the electric field.

Overall, the diagram demonstrates the Lorentz force, where a charged particle experiences a force due to both electric and magnetic fields. The directions of the forces indicate the interplay between these fields and the moving charged particle.
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Transcribed Image Text:The diagram illustrates a particle moving within a region influenced by both electric and magnetic fields. The key elements are: 1. **Magnetic Field (B):** - Represented by 'X' symbols, indicating that the magnetic field is directed into the page (or screen). 2. **Particle Motion (v):** - A particle is moving with velocity \( v \) horizontally across the field. 3. **Electric Field (E):** - The electric field (\( E \)) is depicted with downward-pointing arrows, showing a uniform direction vertically downward. 4. **Forces on the Particle:** - **Magnetic Force (Fm):** Directed upwards, perpendicular to both the velocity of the particle and the magnetic field. This force is a result of the particle's motion through the magnetic field. - **Electric Force (Fe):** Directed downwards, parallel to the direction of the electric field. Overall, the diagram demonstrates the Lorentz force, where a charged particle experiences a force due to both electric and magnetic fields. The directions of the forces indicate the interplay between these fields and the moving charged particle.
Expert Solution
Check Mark
Step 1: Given

Given Data,

Charge (q)=4.17 cross times 10 to the power of 6 space C

Magnetic field strength open parentheses B close parentheses equals 2.12 space T

Electric field strength open parentheses E close parentheses equals 1.78 cross times 10 to the power of 5 space N divided by C


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