College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Refer to the attached figure. A loop of wire sits in a uniform magnetic field, everywhere pointing toward you. Due to a changing magnetic flux through the loop, an induced current flows in the wire, clockwise as shown. The area of the loop is 0.490 m^2 , and the magnetic field initially has magnitude 0.360 T. Suppose that, over a time period of 2.98 s, the magnetic field changes from its initial value, producing an average induced voltage of 0.036 V. What is the final value of the magnetic field after this time period?
0.695 T
0.579 T
0.290 T
0.463 T
Transcribed Image Text:**Transcription for Educational Website:**
**Diagram Description:**
The image illustrates the concept of magnetic fields around a current-carrying wire using the right-hand rule. The diagram features a circular loop with an inward magnetic field denoted as \( \mathbf{B}_{\text{out}} \), represented by green dots uniformly distributed across the background, indicating the direction of the magnetic field going outward.
**Components:**
- **Circular Loop:** The loop is depicted as a grey circle, representing a wire carrying an electric current.
- **Current Direction (\( I \)):** Shown by a purple arrow along the loop, the current flows in a clockwise direction.
- **Magnetic Field (\( \mathbf{B}_{\text{out}} \)):** The magnetic field is indicated by the green dots that symbolize field lines directed outward from the plane of the loop.
**Magnetic Field & Current Relationship:**
The diagram underscores the principle that a current-carrying conductor (the loop) generates a magnetic field around it, which can be determined by the right-hand rule. According to the rule, if the thumb of the right hand points in the direction of the current, the fingers curl in the direction of the generated magnetic field outside the loop, in this case, out of the plane.
This illustration aids in understanding the interaction between current and magnetic fields, foundational to electromagnetic theory and its applications.
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