1. A bizarre wire carries a uniform current of \( I = 2.50 \, \text{A} \) that emerges from point \( a \) and disappears at point \( b \), a distance of \( L = 0.150 \, \text{m} \) away. We wish to use the law of Biot-Savart to determine the magnitude and direction of the magnetic field at the point, \( P \), a distance \( y = 0.065 \, \text{m} \) above the center of the wire.**Diagram Explanation:**- The diagram shows a horizontal wire extending from point \( a \) to point \( b \).- There is a uniform current \( I \) flowing from point \( a \) to point \( b \).- The distance \( L \) between points \( a \) and \( b \) is marked on the horizontal axis (\( x \)-axis).- Point \( P \) is located at a vertical distance \( y \) above the midpoint of the wire.- The vector \(\mathbf{d\vec{l}}\), representing a small segment \( dx \) of the wire, is shown as a blue arrow along the wire.- The coordinate system includes the \( x \)-axis (horizontal) and \( y \)-axis (vertical).- The magnetic field at point \( P \) is determined using these parameters.

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1. A bizarre wire carries a uniform current of I = 2.50 A that emerges from point a and disappears at point ba distance of L = 0.150 m away. We wish to use the law of Biot- Savart to determine the magnitude and direction of the magnetic field at the point, Pa distance y = 0.065 m above the center of the wire. Y y x I a dỉ = dx

1. A bizarre wire carries a uniform current of I = 2.50 A that emerges from point a and disappears at point ba distance of L = 0.150 m away. We wish to use the law of Biot- Savart to determine the magnitude and direction of the magnetic field at the point, Pa distance y = 0.065 m above the center of the wire. Y y x I a dỉ = dx

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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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

1. A bizarre wire carries a uniform current of \( I = 2.50 \, \text{A} \) that emerges from point \( a \) and disappears at point \( b \), a distance of \( L = 0.150 \, \text{m} \) away. We wish to use the law of Biot-Savart to determine the magnitude and direction of the magnetic field at the point, \( P \), a distance \( y = 0.065 \, \text{m} \) above the center of the wire.

**Diagram Explanation:**

- The diagram shows a horizontal wire extending from point \( a \) to point \( b \).
- There is a uniform current \( I \) flowing from point \( a \) to point \( b \).
- The distance \( L \) between points \( a \) and \( b \) is marked on the horizontal axis (\( x \)-axis).
- Point \( P \) is located at a vertical distance \( y \) above the midpoint of the wire.
- The vector \(\mathbf{d\vec{l}}\), representing a small segment \( dx \) of the wire, is shown as a blue arrow along the wire.
- The coordinate system includes the \( x \)-axis (horizontal) and \( y \)-axis (vertical).
- The magnetic field at point \( P \) is determined using these parameters.

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