X X X Fm X X X X X X X X X X X X X X X X X X X X X B X Fe X X X X X

College Physics
11th Edition
ISBN:9781305952300
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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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5. Once more, please refer to the figure. This time the charge is 5.11 x 10^-6 C, the magnetic field strength is 4.58 T and the electric field strength is 8.50 x 10^5 N/C. The charge experiences a total force of magnitude 8.50 N as it enters the region. What is its speed as it enters the region?

   

1.78E+05 m/s

   

1.42E+05 m/s

   

2.67E+05 m/s

   

3.38E+05 m/s

The image depicts a charged particle moving through a region where both electric and magnetic fields are present.

**Description:**

1. **Magnetic Field (B):**
   - Represented by "X" markings in the region. These symbols indicate that the magnetic field is directed into the plane of the diagram.

2. **Electric Field (E):**
   - Shown by vertical downward arrows, indicating the direction of the electric field.

3. **Charged Particle:**
   - The black dot represents the charged particle moving with velocity \( v \) towards the right of the diagram.

4. **Forces Acting on the Particle:**
   - **Magnetic Force (Fm):** The arrow labeled \( F_m \) pointing upwards shows the direction of the magnetic force acting on the particle due to its motion in the magnetic field.
   - **Electric Force (Fe):** The arrow labeled \( F_e \) pointing downwards represents the electric force acting on the particle because of the electric field.

**Explanation:**

In the scenario illustrated, the particle experiences the Lorentz force, which is the combination of electric and magnetic forces. The direction of the magnetic force is determined using the right-hand rule, while the electric force follows the direction of the electric field. The balance or imbalance of these forces determines the net motion of the particle.
Transcribed Image Text:The image depicts a charged particle moving through a region where both electric and magnetic fields are present. **Description:** 1. **Magnetic Field (B):** - Represented by "X" markings in the region. These symbols indicate that the magnetic field is directed into the plane of the diagram. 2. **Electric Field (E):** - Shown by vertical downward arrows, indicating the direction of the electric field. 3. **Charged Particle:** - The black dot represents the charged particle moving with velocity \( v \) towards the right of the diagram. 4. **Forces Acting on the Particle:** - **Magnetic Force (Fm):** The arrow labeled \( F_m \) pointing upwards shows the direction of the magnetic force acting on the particle due to its motion in the magnetic field. - **Electric Force (Fe):** The arrow labeled \( F_e \) pointing downwards represents the electric force acting on the particle because of the electric field. **Explanation:** In the scenario illustrated, the particle experiences the Lorentz force, which is the combination of electric and magnetic forces. The direction of the magnetic force is determined using the right-hand rule, while the electric force follows the direction of the electric field. The balance or imbalance of these forces determines the net motion of the particle.
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