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
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)...
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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faea437a9-11d6-4585-abc8-a4caa8d2389d%2Fe1b0486a-b107-4d63-8c8c-17f61a229e8b%2Fnyhwve_processed.jpeg&w=3840&q=75)
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.
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