Each of the eight conductors in the figure carries 5.91 A of current into or out of the page. Two paths are indicated for the line integral o d 3. What is the value of the integral for (a) path 1 and (b) path 2? (a) Number i Units T-m (b) Number Units T-m > >

College Physics
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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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PLEASE be clear in your answer since the last time I posted was incorrect and only answer part a, thanks.

**Description**:

The image presents a problem related to electromagnetism, specifically focusing on the line integral of the magnetic field around conductors.

**Text**:
"Each of the eight conductors in the figure carries 5.91 A of current into or out of the page. Two paths are indicated for the line integral \( \oint \vec{B} \cdot d\vec{s} \). What is the value of the integral for (a) path 1 and (b) path 2?"

Below this, there are two sections for input:
- **(a)**: A number input box labeled "Number" with units of T·m (Tesla meters).
- **(b)**: Another number input box labeled "Number" with units of T·m.

**Diagram**:
- The diagram shows two closed paths labeled "1" and "2," each enclosing a certain number of conductors.
- Path 1 encloses two conductors.
- Path 2 encloses six conductors.
- The conductors are marked with symbols indicating the direction of current flow (either into or out of the page).

**Explanation**:
The problem requires calculating the magnetic line integral around the specified paths using Ampère’s Law, which relates the line integral of the magnetic field around a closed path to the current enclosed by that path. 

**Hints**:
- For Ampère's Law: \( \oint \vec{B} \cdot d\vec{s} = \mu_0 I_{\text{enclosed}} \).
- Determine the net current enclosed by each path to solve the problem.
Transcribed Image Text:**Description**: The image presents a problem related to electromagnetism, specifically focusing on the line integral of the magnetic field around conductors. **Text**: "Each of the eight conductors in the figure carries 5.91 A of current into or out of the page. Two paths are indicated for the line integral \( \oint \vec{B} \cdot d\vec{s} \). What is the value of the integral for (a) path 1 and (b) path 2?" Below this, there are two sections for input: - **(a)**: A number input box labeled "Number" with units of T·m (Tesla meters). - **(b)**: Another number input box labeled "Number" with units of T·m. **Diagram**: - The diagram shows two closed paths labeled "1" and "2," each enclosing a certain number of conductors. - Path 1 encloses two conductors. - Path 2 encloses six conductors. - The conductors are marked with symbols indicating the direction of current flow (either into or out of the page). **Explanation**: The problem requires calculating the magnetic line integral around the specified paths using Ampère’s Law, which relates the line integral of the magnetic field around a closed path to the current enclosed by that path. **Hints**: - For Ampère's Law: \( \oint \vec{B} \cdot d\vec{s} = \mu_0 I_{\text{enclosed}} \). - Determine the net current enclosed by each path to solve the problem.
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