A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius 34.0 cm. The wire is in the plane of the screen and carries a current 2.00 A. What is the magnetic field at the center of the loop? (Give the magnitude in µT and select the direction from the options provided.) magnitude direction into the screen UT
A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius 34.0 cm. The wire is in the plane of the screen and carries a current 2.00 A. What is the magnetic field at the center of the loop? (Give the magnitude in µT and select the direction from the options provided.) magnitude direction into the screen UT
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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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![**Problem Statement:**
A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has a radius of 34.0 cm. The wire is in the plane of the screen and carries a current of 2.00 A. What is the magnetic field at the center of the loop? (Give the magnitude in µT and select the direction from the options provided.)
**Diagram Explanation:**
The diagram displays a conducting wire shaped with a circular loop. The circular portion has a labeled radius \( R \), and the wire carries a current \( I \).
- **Current \( I \):** Indicated by an arrow pointing to the right.
- **Circle with Radius \( R \):** Centered on the wire, denoting the part of the wire forming the loop.
**Inputs:**
- **Magnitude:** [Input box in µT]
- **Direction:** [Dropdown menu with options; selected option is "into the screen"]
**Explanation for Calculation:**
To solve for the magnetic field at the center of the loop, apply the formula for the magnetic field \( B \) at the center of a circular loop carrying current \( I \):
\[ B = \frac{\mu_0 I}{2R} \]
where \( \mu_0 \) is the permeability of free space (\(4\pi \times 10^{-7} \, \text{T}\cdot\text{m/A}\)), \( I \) is the current, and \( R \) is the radius of the loop.
Calculate the magnitude in microteslas (µT), and use the right-hand rule to determine the direction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e39d780-cdcb-4f47-bd02-8d33810f257b%2F563f323d-1ab6-4348-b3fd-e9d951f5e6d1%2Fbp1sik9_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has a radius of 34.0 cm. The wire is in the plane of the screen and carries a current of 2.00 A. What is the magnetic field at the center of the loop? (Give the magnitude in µT and select the direction from the options provided.)
**Diagram Explanation:**
The diagram displays a conducting wire shaped with a circular loop. The circular portion has a labeled radius \( R \), and the wire carries a current \( I \).
- **Current \( I \):** Indicated by an arrow pointing to the right.
- **Circle with Radius \( R \):** Centered on the wire, denoting the part of the wire forming the loop.
**Inputs:**
- **Magnitude:** [Input box in µT]
- **Direction:** [Dropdown menu with options; selected option is "into the screen"]
**Explanation for Calculation:**
To solve for the magnetic field at the center of the loop, apply the formula for the magnetic field \( B \) at the center of a circular loop carrying current \( I \):
\[ B = \frac{\mu_0 I}{2R} \]
where \( \mu_0 \) is the permeability of free space (\(4\pi \times 10^{-7} \, \text{T}\cdot\text{m/A}\)), \( I \) is the current, and \( R \) is the radius of the loop.
Calculate the magnitude in microteslas (µT), and use the right-hand rule to determine the direction.
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