**Transcription for Educational Website:****Description of Problem:**Each of the eight conductors in the figure carries a current of 3.41 A either into or out of the page. There are two paths labeled for evaluating the line integral \(\oint \vec{B} \cdot d\vec{s}\). What is the value of the integral for:(a) Path 1 (b) Path 2**Diagrams and Analysis:**- **Diagram Explanation:** The image shows two closed paths labeled 1 and 2, encompassing some of the conductors. Each conductor is represented with a circle, and the direction of current is indicated by a dot for outward current and a cross for inward current. - **Path 1:** Encloses three conductors, two with crosses (inward current) and one with a dot (outward current). - **Path 2:** Encloses three conductors, two with crosses (inward current) and one with a dot (outward current), similar to Path 1.**Calculations:**- **(a) Path 1:** The value of the line integral for Path 1 is calculated as 2.51.- **(b) Path 2:** The value of the line integral for Path 2 is calculated as 0.**Input and Results:**- **(a) Number:** 2.51 Units: (Selectable dropdown for units, not specified)- **(b) Number:** 0 Units: T· (Presumably Tesla, for the magnetic field)These calculations likely derive from applying Ampère's Law, which relates the integral of the magnetic field around a closed loop to the current enclosed by that loop.

The problem is related to Ampere’s Law in magnetism, which states that the magnetic field B around a…

Each of the eight conductors in the figure carries 3.41 A of current into or out of the page. Two paths are indicated for the line integral fi B. ds. What is the value of the integral for (a) path 1 and (b) path 2?

Each of the eight conductors in the figure carries 3.41 A of current into or out of the page. Two paths are indicated for the line integral fi B. ds. What is the value of the integral for (a) path 1 and (b) path 2?

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

**Transcription for Educational Website:**

**Description of Problem:**

Each of the eight conductors in the figure carries a current of 3.41 A either into or out of the page. There are two paths labeled for evaluating the line integral \(\oint \vec{B} \cdot d\vec{s}\). What is the value of the integral for:

(a) Path 1
(b) Path 2

**Diagrams and Analysis:**

- **Diagram Explanation:**
The image shows two closed paths labeled 1 and 2, encompassing some of the conductors. Each conductor is represented with a circle, and the direction of current is indicated by a dot for outward current and a cross for inward current.

- **Path 1:**
Encloses three conductors, two with crosses (inward current) and one with a dot (outward current).

- **Path 2:**
Encloses three conductors, two with crosses (inward current) and one with a dot (outward current), similar to Path 1.

**Calculations:**

- **(a) Path 1:**
The value of the line integral for Path 1 is calculated as 2.51.

- **(b) Path 2:**
The value of the line integral for Path 2 is calculated as 0.

**Input and Results:**

- **(a) Number:**
2.51 Units: (Selectable dropdown for units, not specified)

- **(b) Number:**
0 Units: T· (Presumably Tesla, for the magnetic field)

These calculations likely derive from applying Ampère's Law, which relates the integral of the magnetic field around a closed loop to the current enclosed by that loop.

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