College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![**Problem 5: Electromagnetic Torque on a Rectangular Coil**
A rectangular coil has a length of 18.0 cm and a width of 6.5 cm, consisting of 14 loops, and lies flat on your desk as shown in the image. A uniform magnetic field of magnitude \(6.00 \times 10^{-5} \, \text{T}\) points into the page. If a 6.00 A clockwise current flows through the coil:
(a) **Determine the Torque on the Coil**
- The torque (\(\tau\)) on the coil is to be calculated. Use the formula:
\[
\tau = n \times I \times A \times B \times \sin(\theta)
\]
where:
- \(n\) is the number of loops
- \(I\) is the current in amperes
- \(A\) is the area of the coil (\(A = \text{length} \times \text{width}\))
- \(B\) is the magnetic field strength
- \(\theta\) is the angle between the normal to the plane of the coil and magnetic field (assumed to be 90° if the field is perpendicular to the coil plane in the horizontal orientation)
(b) **Which Edge of the Coil Rises Up?**
- Multiple choice options:
- Top
- Bottom
- None of these
- Right
- Left
**Visual Explanation:**
- The diagram shows a top view of a coil with several loops. The magnetic field is directed into the page, indicated by the uniform field lines. Depending on the resulting torque direction, one edge will rise based on Lenz’s law and the right-hand rule.](https://content.bartleby.com/qna-images/question/cd0a9c9c-b0c8-47bb-88dc-3ac08f167320/77477713-8c3b-4537-8fb7-4294e105713d/vxj2fm_processed.jpeg)
Transcribed Image Text:**Problem 5: Electromagnetic Torque on a Rectangular Coil**
A rectangular coil has a length of 18.0 cm and a width of 6.5 cm, consisting of 14 loops, and lies flat on your desk as shown in the image. A uniform magnetic field of magnitude \(6.00 \times 10^{-5} \, \text{T}\) points into the page. If a 6.00 A clockwise current flows through the coil:
(a) **Determine the Torque on the Coil**
- The torque (\(\tau\)) on the coil is to be calculated. Use the formula:
\[
\tau = n \times I \times A \times B \times \sin(\theta)
\]
where:
- \(n\) is the number of loops
- \(I\) is the current in amperes
- \(A\) is the area of the coil (\(A = \text{length} \times \text{width}\))
- \(B\) is the magnetic field strength
- \(\theta\) is the angle between the normal to the plane of the coil and magnetic field (assumed to be 90° if the field is perpendicular to the coil plane in the horizontal orientation)
(b) **Which Edge of the Coil Rises Up?**
- Multiple choice options:
- Top
- Bottom
- None of these
- Right
- Left
**Visual Explanation:**
- The diagram shows a top view of a coil with several loops. The magnetic field is directed into the page, indicated by the uniform field lines. Depending on the resulting torque direction, one edge will rise based on Lenz’s law and the right-hand rule.
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- 1. A student uses a coil of radius 14 cm with 90 windings.a) Calculate the expected slope for a plot of magnetic field vs current in this coil.b) She performs the lab and measures a slope of 4.2 x 10^-4 T/A. Based on this slope, what valuedoes she calculate for μo ?c) Calculate the percent error between her measured value of μo and the theoretical value.2. She then uses a permanent magnet of strength B = 0.5 mT to induce a voltage in the (same) coil.Calculate the expected voltage if she pulls the magnet from the coil in 0.02 seconds.arrow_forwardA wire is bent in to the shape shown below. If a current of I runs through the wire, what is direction and the magnitude of the magnetic field at the center of loop? R Hol B = 2R - Oa. Hol B = 2R - Ob. Hol B = 2R d. Hol B = 1+ 2R Oe.arrow_forward19. A square conducting loop of side a and resistance R passes through a region of space that has uniform magnetic field B into the page, as shown in the figure. Assume that the speed of the loop is constant throughout its motion. What is the magnitude and direction of the current in the loop: as it enters the magnetic field, a) b) while travelling inside the magnetic field, as it leaves the magnetic field. Provide your answer symbolically. a V Ø 8 Ø Top view Uniform magnetic field pointing into the pagearrow_forward
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