A rectangular coil with 55 turns of metal wire and a total resistance of 10.0 2 initially lies in the yz-plane at time t = 0 and rotates about the y-axis with a constant angular speed of 25.0 rad/s. The coil has a height along the y-direction of 0.200 m and a width along the z-direction of 0.100 m. The coil is in the presence of a uniform magnetic field with a magnitude of 2.60 T that points in the +x-direction. (a) Calculate the maximum rate of change of magnetic flux through one turn of coil (in Wb/s). Wb/s (b) Calculate the maximum magnitude of emf induced in the entire coil (in V). (c) Calculate the magnitude of the induced emf (in V) in the entire coil at t = 0.0500 s. V
A rectangular coil with 55 turns of metal wire and a total resistance of 10.0 2 initially lies in the yz-plane at time t = 0 and rotates about the y-axis with a constant angular speed of 25.0 rad/s. The coil has a height along the y-direction of 0.200 m and a width along the z-direction of 0.100 m. The coil is in the presence of a uniform magnetic field with a magnitude of 2.60 T that points in the +x-direction. (a) Calculate the maximum rate of change of magnetic flux through one turn of coil (in Wb/s). Wb/s (b) Calculate the maximum magnitude of emf induced in the entire coil (in V). (c) Calculate the magnitude of the induced emf (in V) in the entire coil at t = 0.0500 s. V
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)...
Related questions
Question
![A rectangular coil with 55 turns of metal wire and a total resistance of 10.0 Ω initially lies in the yz-plane at time \( t = 0 \) and rotates about the y-axis with a constant angular speed of 25.0 rad/s. The coil has a height along the y-direction of 0.200 m and a width along the z-direction of 0.100 m. The coil is in the presence of a uniform magnetic field with a magnitude of 2.60 T that points in the +x-direction.
### Questions and Tasks:
**(a)** Calculate the maximum rate of change of magnetic flux through one turn of the coil (in Wb/s).
\[ \boxed{\phantom{xxxxx}} \, \text{Wb/s} \]
**(b)** Calculate the maximum magnitude of emf induced in the entire coil (in V).
\[ \boxed{\phantom{xxxxx}} \, \text{V} \]
**(c)** Calculate the magnitude of the induced emf (in V) in the entire coil at \( t = 0.0500 \, \text{s} \).
\[ \boxed{\phantom{xxxxx}} \, \text{V} \]
**(d)** Calculate the magnitude of torque (in N·m) exerted by the magnetic field on the coil at the instant when the emf is a maximum.
\[ \boxed{\phantom{xxxxx}} \, \text{N·m} \]
**(e)** What is the maximum power delivered to the coil (in W)?
\[ \boxed{\phantom{xxxxx}} \, \text{W} \]
**(f)** **What If?** If the coil is constructed from tungsten wire, what is the cross-sectional area of the wire (in m²)? The resistivity of tungsten is \( 5.60 \times 10^{-8} \, \Omega \cdot \text{m} \).
\[ \boxed{\phantom{xxxxx}} \, \text{m²} \]
**(g)** **What If?** Suppose the coil now has the same number of turns, dimensions, and resistance, but the maximum current that the wire can now safely carry is 5.36 A. What now is the maximum angular speed (in rad/s) with which the coil can be rotated in the same 2.60](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76aaab3c-5a4a-4ff8-814d-d2e8a1f30217%2Fbb360c29-51c6-4117-af3b-c098e3fd90d9%2Fn87wxyh_processed.png&w=3840&q=75)
Transcribed Image Text:A rectangular coil with 55 turns of metal wire and a total resistance of 10.0 Ω initially lies in the yz-plane at time \( t = 0 \) and rotates about the y-axis with a constant angular speed of 25.0 rad/s. The coil has a height along the y-direction of 0.200 m and a width along the z-direction of 0.100 m. The coil is in the presence of a uniform magnetic field with a magnitude of 2.60 T that points in the +x-direction.
### Questions and Tasks:
**(a)** Calculate the maximum rate of change of magnetic flux through one turn of the coil (in Wb/s).
\[ \boxed{\phantom{xxxxx}} \, \text{Wb/s} \]
**(b)** Calculate the maximum magnitude of emf induced in the entire coil (in V).
\[ \boxed{\phantom{xxxxx}} \, \text{V} \]
**(c)** Calculate the magnitude of the induced emf (in V) in the entire coil at \( t = 0.0500 \, \text{s} \).
\[ \boxed{\phantom{xxxxx}} \, \text{V} \]
**(d)** Calculate the magnitude of torque (in N·m) exerted by the magnetic field on the coil at the instant when the emf is a maximum.
\[ \boxed{\phantom{xxxxx}} \, \text{N·m} \]
**(e)** What is the maximum power delivered to the coil (in W)?
\[ \boxed{\phantom{xxxxx}} \, \text{W} \]
**(f)** **What If?** If the coil is constructed from tungsten wire, what is the cross-sectional area of the wire (in m²)? The resistivity of tungsten is \( 5.60 \times 10^{-8} \, \Omega \cdot \text{m} \).
\[ \boxed{\phantom{xxxxx}} \, \text{m²} \]
**(g)** **What If?** Suppose the coil now has the same number of turns, dimensions, and resistance, but the maximum current that the wire can now safely carry is 5.36 A. What now is the maximum angular speed (in rad/s) with which the coil can be rotated in the same 2.60
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
The follow up questions for the problem above!
Thank you!
![(d) Calculate the magnitude of torque (in N · m) exerted by the magnetic field on the coil at the instant when the emf is a maximum.
[Textbox] N · m
(e) What is the maximum power delivered to the coil (in W)?
[Textbox] W
(f) **What If?** If the coil is constructed from tungsten wire, what is the cross-sectional area of the wire (in m²)? The resistivity of tungsten is 5.60 × 10⁻⁸ Ω · m.
[Textbox] m²
(g) **What If?** Suppose the coil now has the same number of turns, dimensions, and resistance, but the maximum current that the wire can now safely carry is 5.36 A. What now is the maximum angular speed (in rad/s) with which the coil can be rotated in the same 2.60 T magnetic field?
[Textbox] rad/s](https://content.bartleby.com/qna-images/question/76aaab3c-5a4a-4ff8-814d-d2e8a1f30217/29e4c3ca-d635-4db0-8b0b-d174f0367614/b0ddi9_processed.png)
Transcribed Image Text:(d) Calculate the magnitude of torque (in N · m) exerted by the magnetic field on the coil at the instant when the emf is a maximum.
[Textbox] N · m
(e) What is the maximum power delivered to the coil (in W)?
[Textbox] W
(f) **What If?** If the coil is constructed from tungsten wire, what is the cross-sectional area of the wire (in m²)? The resistivity of tungsten is 5.60 × 10⁻⁸ Ω · m.
[Textbox] m²
(g) **What If?** Suppose the coil now has the same number of turns, dimensions, and resistance, but the maximum current that the wire can now safely carry is 5.36 A. What now is the maximum angular speed (in rad/s) with which the coil can be rotated in the same 2.60 T magnetic field?
[Textbox] rad/s
Solution
by Bartleby ExpertKnowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON