What is the direction of the magnetic field at the position of the dot? A) Down. B) Out of the screen. C) Up. D) Into the screen. E) None of above v into screen +)

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**Understanding Magnetic Field Direction at a Given Point**

**Problem Statement:**

What is the direction of the magnetic field at the position of the dot?

Options:
A) Down.
B) Out of the screen.
C) Up.
D) Into the screen.
E) None of the above.

**Explanation with Diagram Details:**

The accompanying diagram illustrates a positively charged particle, marked by a red circle with a plus sign (‘+’) inside it. This particle is moving into the screen as indicated by the velocity vector **v** pointing into the screen. Next to this setup, there is a black dot denoting the point where the direction of the magnetic field needs to be determined.

**Analyzing the Situation:**

To find the direction of the magnetic field in this scenario, we can use the right-hand rule for moving charges in a magnetic field.

1. **Right-Hand Rule Application:**
   - Point your thumb in the direction of the velocity of the positive charge (into the screen).
   - Curl your fingers in the direction that a positive charge would rotate, which involves using the natural curl of your fingers.
   
   Given that the positive charge is moving into the screen, your thumb points into the screen. If you curl your fingers in this direction, they will naturally move in a clockwise direction when viewed from the particle's starting point.

2. This setup implies the magnetic field forms concentric circles around the path of the moving charge. Using the right-hand rule, on the right side of the charge's path (where the dot is positioned):
   - Your fingers will point downward below the charge and upward above the charge.
   - Since the dot is to the right and we need to align with the natural curl direction, the magnetic field at the dot will point downward.

Therefore, the correct answer is:
A) Down.
Transcribed Image Text:**Understanding Magnetic Field Direction at a Given Point** **Problem Statement:** What is the direction of the magnetic field at the position of the dot? Options: A) Down. B) Out of the screen. C) Up. D) Into the screen. E) None of the above. **Explanation with Diagram Details:** The accompanying diagram illustrates a positively charged particle, marked by a red circle with a plus sign (‘+’) inside it. This particle is moving into the screen as indicated by the velocity vector **v** pointing into the screen. Next to this setup, there is a black dot denoting the point where the direction of the magnetic field needs to be determined. **Analyzing the Situation:** To find the direction of the magnetic field in this scenario, we can use the right-hand rule for moving charges in a magnetic field. 1. **Right-Hand Rule Application:** - Point your thumb in the direction of the velocity of the positive charge (into the screen). - Curl your fingers in the direction that a positive charge would rotate, which involves using the natural curl of your fingers. Given that the positive charge is moving into the screen, your thumb points into the screen. If you curl your fingers in this direction, they will naturally move in a clockwise direction when viewed from the particle's starting point. 2. This setup implies the magnetic field forms concentric circles around the path of the moving charge. Using the right-hand rule, on the right side of the charge's path (where the dot is positioned): - Your fingers will point downward below the charge and upward above the charge. - Since the dot is to the right and we need to align with the natural curl direction, the magnetic field at the dot will point downward. Therefore, the correct answer is: A) Down.
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