Current Attempt in Progress A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.30 m. The normal to the plane of the loop is parallel to a constant magnetic field (p = 0) of magnitude 0.77 T. What is the change AO in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution? B (into paper) ΔΦ = i

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Chapter1: Units, Trigonometry. And Vectors
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**Current Attempt in Progress**

A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius \( r = 0.30 \) m. The normal to the plane of the loop is parallel to a constant magnetic field (\( \varphi = 0° \)) of magnitude 0.77 T. What is the change \( \Delta \Phi \) in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?

**Diagram Explanation:**

The diagram illustrates a loop of wire, where the top part forms a semicircle. Specifically:

- The semicircle is of radius \( r = 0.30 \) m. 
- The magnetic field \( \mathbf{B} \) is directed into the plane of the paper, indicated by the symbols '×'.
- Initially, the normal to the plane of the loop (perpendicular to the surface area of the semicircle) is parallel to the magnetic field direction.
  
The problem involves calculating the change in magnetic flux \( \Delta \Phi \) through the loop when the semicircle is rotated through half a revolution (180 degrees).

**Input Section:**

There is a placeholder for recording the change in magnetic flux (\( \Delta \Phi \)) where you can select the unit of measurement and input the calculated value.
Transcribed Image Text:**Current Attempt in Progress** A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius \( r = 0.30 \) m. The normal to the plane of the loop is parallel to a constant magnetic field (\( \varphi = 0° \)) of magnitude 0.77 T. What is the change \( \Delta \Phi \) in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution? **Diagram Explanation:** The diagram illustrates a loop of wire, where the top part forms a semicircle. Specifically: - The semicircle is of radius \( r = 0.30 \) m. - The magnetic field \( \mathbf{B} \) is directed into the plane of the paper, indicated by the symbols '×'. - Initially, the normal to the plane of the loop (perpendicular to the surface area of the semicircle) is parallel to the magnetic field direction. The problem involves calculating the change in magnetic flux \( \Delta \Phi \) through the loop when the semicircle is rotated through half a revolution (180 degrees). **Input Section:** There is a placeholder for recording the change in magnetic flux (\( \Delta \Phi \)) where you can select the unit of measurement and input the calculated value.
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