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
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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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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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