See the attached figure for this problem. A charge of 1.69 x 10^6 C moves to the right as shown through a region containing both a magnetic field of strength 4.01 T directed into the screen and an electric field of strength 6.44 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? 1.61E+04 m/s 1.61E+05 m/s 1.29E+05 m/s 8.05E+04 m/s

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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  1. See the attached figure for this problem. A charge of 1.69 x 10^6 C moves to the right as shown through a region containing both a magnetic field of strength 4.01 T directed into the screen and an electric field of strength 6.44 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?
   

1.61E+04 m/s

   

1.61E+05 m/s

   

1.29E+05 m/s

   

8.05E+04 m/s

The image presents a diagram depicting the interplay of electric and magnetic fields in relation to a charged particle.

**Diagram Explanation:**

- The background features a grid of X's, which signifies a uniform magnetic field directed into the page, represented by the symbol \( B \).
- Vertical arrows across the image symbolize the direction of an electric field \( E \), pointing downward.
- A charged particle is illustrated as a dot moving with velocity \( v \) to the right, within this field setup.
- There are two main forces acting on this particle:
  - \( F_m \): The magnetic force, shown as an upward arrow. This is perpendicular to both the direction of the magnetic field and the velocity of the particle.
  - \( F_e \): The electric force, depicted as a downward arrow. This force acts in the direction of the electric field.
  
The diagram visually demonstrates the principles of motion of a charged particle in orthogonal electric and magnetic fields, showcasing the forces acting upon it in these conditions. This is a fundamental concept in electromagnetism.
Transcribed Image Text:The image presents a diagram depicting the interplay of electric and magnetic fields in relation to a charged particle. **Diagram Explanation:** - The background features a grid of X's, which signifies a uniform magnetic field directed into the page, represented by the symbol \( B \). - Vertical arrows across the image symbolize the direction of an electric field \( E \), pointing downward. - A charged particle is illustrated as a dot moving with velocity \( v \) to the right, within this field setup. - There are two main forces acting on this particle: - \( F_m \): The magnetic force, shown as an upward arrow. This is perpendicular to both the direction of the magnetic field and the velocity of the particle. - \( F_e \): The electric force, depicted as a downward arrow. This force acts in the direction of the electric field. The diagram visually demonstrates the principles of motion of a charged particle in orthogonal electric and magnetic fields, showcasing the forces acting upon it in these conditions. This is a fundamental concept in electromagnetism.
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