**Topic: Calculating Magnetic Flux Through a Rectangular Loop****Problem Statement:**A rectangular loop with dimensions 1.0 cm by 4.0 cm is placed 1.0 cm away from a long straight wire. The wire carries a current of 1.0 A. Determine the magnetic flux passing through the loop.**Diagram Explanation:*** **Components:** * The **long straight wire** carrying a current of 1.0 A. * The **rectangular loop** with dimensions 1.0 cm (width) and 4.0 cm (length). * The rectangular loop is positioned such that it is 1.0 cm away from the long straight wire.* **Distances:** * The distance between the wire and the closest side of the loop is 1.0 cm. * The entire horizontal span from the wire to the far side of the loop totals 2.0 cm (1.0 cm to the nearest side plus the 1.0 cm width of the loop).**Graphical Description:**The diagram showcases:1. A long straight wire carrying a current denoted by \( I \) with the value of 1.0 A moving in the positive direction (indicated by an arrow).2. A rectangular loop located parallel to the wire on one side, with labeled distances showing: - 1.0 cm gap from the wire to the closest side of the loop. - Additional 1.0 cm representing the width of the loop reaching to a total of 2.0 cm from the wire to the far side of the loop.3. The dimensions of the loop are labeled as 4.0 cm in height.**Objective:**With the provided information and diagram, compute the magnetic flux through the rectangular loop.**Application:**Use Ampere's Law and the flux equation \(\Phi = \int_B dA\) to solve for the magnetic flux in this scenario.

Answered: Image /qna-images/answer/b1425eb0-182d-4048-a277-bdf255d343fb.jpg

The 1.0 [cm] × 4.0 [cm] rectangular loop is 1.0 [cm] away from a long straight wire. The wire carries a current of 1.0 [A]. What is the magnetic flux through the loop? Loop Long straight wire 4.0 cm 1.0 cm 1.0 cm

The 1.0 [cm] × 4.0 [cm] rectangular loop is 1.0 [cm] away from a long straight wire. The wire carries a current of 1.0 [A]. What is the magnetic flux through the loop? Loop Long straight wire 4.0 cm 1.0 cm 1.0 cm

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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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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

**Topic: Calculating Magnetic Flux Through a Rectangular Loop**

**Problem Statement:**

A rectangular loop with dimensions 1.0 cm by 4.0 cm is placed 1.0 cm away from a long straight wire. The wire carries a current of 1.0 A. Determine the magnetic flux passing through the loop.

**Diagram Explanation:**

* **Components:**
* The **long straight wire** carrying a current of 1.0 A.
* The **rectangular loop** with dimensions 1.0 cm (width) and 4.0 cm (length).
* The rectangular loop is positioned such that it is 1.0 cm away from the long straight wire.

* **Distances:**
* The distance between the wire and the closest side of the loop is 1.0 cm.
* The entire horizontal span from the wire to the far side of the loop totals 2.0 cm (1.0 cm to the nearest side plus the 1.0 cm width of the loop).

**Graphical Description:**
The diagram showcases:
1. A long straight wire carrying a current denoted by \( I \) with the value of 1.0 A moving in the positive direction (indicated by an arrow).
2. A rectangular loop located parallel to the wire on one side, with labeled distances showing:
- 1.0 cm gap from the wire to the closest side of the loop.
- Additional 1.0 cm representing the width of the loop reaching to a total of 2.0 cm from the wire to the far side of the loop.
3. The dimensions of the loop are labeled as 4.0 cm in height.

**Objective:**
With the provided information and diagram, compute the magnetic flux through the rectangular loop.

**Application:**
Use Ampere's Law and the flux equation \(\Phi = \int_B dA\) to solve for the magnetic flux in this scenario.

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