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

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Chapter1: Units, Trigonometry. And Vectors
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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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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.
Transcribed Image Text: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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