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.

Given Data,Charge (q)=Magnetic field strength Electric field strength

Answered: A charge of 4.17 x 10^6 C moves to the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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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.

Expert Solution

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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