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A wire is bent so there is are two semicircles, one of radius 0.189 mm and the other of radius 0.732 mm. If the wire carries current 728 A, find the magnitude of the magnetic field, in T, created by this current at the common center of the semicircles.

A wire is bent so there is are two semicircles, one of radius 0.189 mm and the other of radius 0.732 mm. If the wire carries current 728 A, find the magnitude of the magnetic field, in T, created by this current at the common center of the semicircles.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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**Diagram 8 Explanation** This diagram visually represents a semi-circular loop with an additional semicircle beneath it, indicating a magnetic or electric circuit. Here are the key elements of the diagram: - **Arc and Arrows**: The main arc at the top is a semicircle with directional arrows representing current flow, labeled as \( I \). The arrows are uniformly oriented, suggesting the direction of flow within the loop. - **Radial Lines**: Dashed radial lines labeled \( R_1 \) and \( R_2 \) are projected from the center of the arcs to their respective curved lines. These likely represent radii or distances from the center point to specific areas on each semicircle, potentially demonstrating aspects related to magnetic or electric fields or distances critical for calculations in electromagnetism. - **Directionality**: The directional arrows along the perimeter of both semicircles could denote the path of current or indicate the lines of magnetic force, depending on the specific application or context of the diagram. This diagram could be used for educational purposes in physics, specifically when covering topics such as electromagnetism, magnetic fields, or circuit analysis, highlighting concepts like current flow, magnetic field direction, or circuit configuration.
Transcribed Image Text:**Diagram 8 Explanation** This diagram visually represents a semi-circular loop with an additional semicircle beneath it, indicating a magnetic or electric circuit. Here are the key elements of the diagram: - **Arc and Arrows**: The main arc at the top is a semicircle with directional arrows representing current flow, labeled as \( I \). The arrows are uniformly oriented, suggesting the direction of flow within the loop. - **Radial Lines**: Dashed radial lines labeled \( R_1 \) and \( R_2 \) are projected from the center of the arcs to their respective curved lines. These likely represent radii or distances from the center point to specific areas on each semicircle, potentially demonstrating aspects related to magnetic or electric fields or distances critical for calculations in electromagnetism. - **Directionality**: The directional arrows along the perimeter of both semicircles could denote the path of current or indicate the lines of magnetic force, depending on the specific application or context of the diagram. This diagram could be used for educational purposes in physics, specifically when covering topics such as electromagnetism, magnetic fields, or circuit analysis, highlighting concepts like current flow, magnetic field direction, or circuit configuration.
This problem refers to diagram 8. A wire is bent so there are two semicircles, one of radius 0.189 mm and the other of radius 0.732 mm. If the wire carries a current of 728 A, find the magnitude of the magnetic field, in T, created by this current at the common center of the semicircles.
Transcribed Image Text:This problem refers to diagram 8. A wire is bent so there are two semicircles, one of radius 0.189 mm and the other of radius 0.732 mm. If the wire carries a current of 728 A, find the magnitude of the magnetic field, in T, created by this current at the common center of the semicircles.
Expert Solution
Step 1

Magnetic field around a circular wire is given by

B=μ∘I2r

In given figure there are two semicircles having radius R1 and R2 whose values are :

R1=0.189 ×10-3 m

R2=0.732×10-3m

Magnetic field due to semicircle is half of magnetic field due to circular wire

B1=12×μ∘I2R1=μ∘I4R1

B2=12×μ∘I2R2=μ∘I4R2

 

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