A circular coil (720 turns, radius = 0.084 m) is rotating in a uniform magnetic field. At t=0 s, the normal to the coil is perpendicular to the magnetic field. At t = 0.021 s, the normal makes an angle of 45° with the field because the coil has made one-eighth of a revolution. An average emf of magnitude 0.048 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil. Number Units

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)...
icon
Related questions
Question
100%
**Current Attempt in Progress**

A circular coil (720 turns, radius = 0.084 m) is rotating in a uniform magnetic field. At \( t = 0 \) s, the normal to the coil is perpendicular to the magnetic field. At \( t = 0.021 \) s, the normal makes an angle of 45° with the field because the coil has made one-eighth of a revolution. An average emf of magnitude 0.048 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil.

**Number:** [Input Box]

**Units:** [Dropdown Menu]

---

**Explanation:**

This problem involves a circular coil rotating in a uniform magnetic field, resulting in an induced electromotive force (EMF). The key parameters provided are:

- The coil has 720 turns.
- The radius of the coil is 0.084 meters.
- At time \( t = 0 \) seconds, the normal to the coil is perpendicular to the magnetic field.
- At time \( t = 0.021 \) seconds, the normal makes an angle of 45° with the magnetic field, indicating the coil has rotated one-eighth of a revolution.
- An average EMF of 0.048 volts is induced in the coil during this rotation.

To solve for the magnetic field magnitude, you may need to use Faraday's Law of Induction and the formula for induced EMF, considering the change in magnetic flux through the coil over the given time period.
Transcribed Image Text:**Current Attempt in Progress** A circular coil (720 turns, radius = 0.084 m) is rotating in a uniform magnetic field. At \( t = 0 \) s, the normal to the coil is perpendicular to the magnetic field. At \( t = 0.021 \) s, the normal makes an angle of 45° with the field because the coil has made one-eighth of a revolution. An average emf of magnitude 0.048 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil. **Number:** [Input Box] **Units:** [Dropdown Menu] --- **Explanation:** This problem involves a circular coil rotating in a uniform magnetic field, resulting in an induced electromotive force (EMF). The key parameters provided are: - The coil has 720 turns. - The radius of the coil is 0.084 meters. - At time \( t = 0 \) seconds, the normal to the coil is perpendicular to the magnetic field. - At time \( t = 0.021 \) seconds, the normal makes an angle of 45° with the magnetic field, indicating the coil has rotated one-eighth of a revolution. - An average EMF of 0.048 volts is induced in the coil during this rotation. To solve for the magnetic field magnitude, you may need to use Faraday's Law of Induction and the formula for induced EMF, considering the change in magnetic flux through the coil over the given time period.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Laws of electromagnetic induction
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON