4. An infinitely long wire has been bent into the hairpin-like shape shown below. The curved part of the wire is a semicircle of radius R. Point P is the center of the semicircle. The wire carries a current I in the direction indicated by the purple arrows. R Find the magnetic field at point P. P I

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**Problem Description:**

4. An infinitely long wire has been bent into the hairpin-like shape shown below. The curved part of the wire is a semicircle of radius \( R \). Point \( P \) is the center of the semicircle. The wire carries a current \( I \) in the direction indicated by the purple arrows.

**Diagram Explanation:**

The diagram shows a wire formed into a shape resembling a hairpin.

- **Semicircle**: The wire's curved part is a semicircle, with the point \( P \) marked at its center. The radius of this semicircle is labeled \( R \).
- **Current Flow**: The current \( I \) is denoted by purple arrows. It flows along the wire, starting from the left side, moving through the semicircle, and then continuing along the bottom side.
  
**Task:**

Find the magnetic field at point \( P \).
Transcribed Image Text:**Problem Description:** 4. An infinitely long wire has been bent into the hairpin-like shape shown below. The curved part of the wire is a semicircle of radius \( R \). Point \( P \) is the center of the semicircle. The wire carries a current \( I \) in the direction indicated by the purple arrows. **Diagram Explanation:** The diagram shows a wire formed into a shape resembling a hairpin. - **Semicircle**: The wire's curved part is a semicircle, with the point \( P \) marked at its center. The radius of this semicircle is labeled \( R \). - **Current Flow**: The current \( I \) is denoted by purple arrows. It flows along the wire, starting from the left side, moving through the semicircle, and then continuing along the bottom side. **Task:** Find the magnetic field at point \( P \).
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