The figure below shows three edge views of a square loop with sides of length = 0.220 m in a magnetic field of magnitude 2.25 T. Calculate the magnetic flux (in Wb) through the loop oriented perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field. HINT (a) perpendicular to the magnetic field Wb 0.1089 B (b) 60.0° from the magnetic field 0.0640 XWb y B 60.0° B

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The figure illustrates three edge views of a square loop with sides of length \( \ell = 0.220 \, \text{m} \), placed in a magnetic field of magnitude \( 2.25 \, \text{T} \). The task is to calculate the magnetic flux (\( \Phi \), in Weber or Wb) through the loop when it is oriented in three different ways: perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field.

**Diagrams:**

1. **First diagram (left):**
   - The square loop is perpendicular to the magnetic field (\( \vec{B} \)).
   - The magnetic field lines, represented by green arrows, pass directly through the loop.
   - Calculation shows the magnetic flux as \( \Phi = 0.1089 \, \text{Wb} \).

2. **Second diagram (middle):**
   - The loop is tilted at an angle of 60.0° to the magnetic field.
   - The magnetic field lines still intersect the loop but at an angle.
   - The calculation gives the magnetic flux as \( \Phi = 0.0640 \, \text{Wb} \), indicating reduced flux compared to the perpendicular orientation.

3. **Third diagram (right):**
   - The loop is parallel to the magnetic field.
   - No magnetic field lines pass through the loop.
   - Calculation implies no magnetic flux through the loop in this orientation.

**Hint:**
- For (a), when the loop is perpendicular to the magnetic field, the flux calculation is correct: \( 0.1089 \, \text{Wb} \).
- For (b), when the loop is at 60.0° from the magnetic field, the flux calculation is incorrect: \( 0.0640 \, \text{Wb} \) (marked with a red cross).

This understanding highlights the principle that magnetic flux depends on the orientation of the loop relative to the magnetic field.
Transcribed Image Text:The figure illustrates three edge views of a square loop with sides of length \( \ell = 0.220 \, \text{m} \), placed in a magnetic field of magnitude \( 2.25 \, \text{T} \). The task is to calculate the magnetic flux (\( \Phi \), in Weber or Wb) through the loop when it is oriented in three different ways: perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field. **Diagrams:** 1. **First diagram (left):** - The square loop is perpendicular to the magnetic field (\( \vec{B} \)). - The magnetic field lines, represented by green arrows, pass directly through the loop. - Calculation shows the magnetic flux as \( \Phi = 0.1089 \, \text{Wb} \). 2. **Second diagram (middle):** - The loop is tilted at an angle of 60.0° to the magnetic field. - The magnetic field lines still intersect the loop but at an angle. - The calculation gives the magnetic flux as \( \Phi = 0.0640 \, \text{Wb} \), indicating reduced flux compared to the perpendicular orientation. 3. **Third diagram (right):** - The loop is parallel to the magnetic field. - No magnetic field lines pass through the loop. - Calculation implies no magnetic flux through the loop in this orientation. **Hint:** - For (a), when the loop is perpendicular to the magnetic field, the flux calculation is correct: \( 0.1089 \, \text{Wb} \). - For (b), when the loop is at 60.0° from the magnetic field, the flux calculation is incorrect: \( 0.0640 \, \text{Wb} \) (marked with a red cross). This understanding highlights the principle that magnetic flux depends on the orientation of the loop relative to the magnetic field.
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