In this educational exercise, four long straight wires are positioned perpendicular to the page, forming a square with an edge length of \( a = 13.5 \, \text{cm} \). Each wire carries a current of \( 7.50 \, \text{A} \). The currents in wires 1 and 4 flow **out of the page**, while the currents in wires 2 and 3 flow **into the page**. The problem requires calculating the net magnetic force per meter on wire 4 in unit-vector notation.### Diagram and ForcesThe top image depicts the arrangement of the four wires:- Wire 1 is at the top left.- Wire 2 is at the top right.- Wire 3 is at the bottom right.- Wire 4 is at the bottom left.The task is to create a free-body diagram for wire 4 by considering the forces from each of the other wires (F1, F2, F3). Below this, a corrected solution highlights how the vectors should be placed.#### Steps:1. **Identify Forces**: - \( F_1 \) is the force exerted on wire 4 by wire 1. - \( F_2 \) is the force exerted on wire 4 by wire 2. - \( F_3 \) is the force exerted on wire 4 by wire 3.2. **Vector Placement**: - Move each vector to the correct starting point and orient it in the proper direction, as shown in the free-body diagram with angles. - \( F_1 \) is placed at 40 degrees from the horizontal. - \( F_2 \) is placed opposing \( F_1 \) as per magnetic force interactions. 3. **Key to Force Labels**: - \( F_1 = \text{Force from wire 1} \) - \( F_2 = \text{Force from wire 2} \) - \( F_3 = \text{Force from wire 3} \) - \( F_4 = \text{Force from wire 4} \) (not shown, since it’s the wire experiencing forces).By considering these interactions and using the right-hand rule, the student can calculate the magnetic forces' contribution in unit-vector form, ensuring a comprehensive understanding of electromagnetic interactions between current-carrying

The force acting between two parallel current carrying wire is attractive when the direction of currents are same and repulsive when the direction of currents are opposite. Thus, wire 1 will attract wire 4 and wire 2 and 3 will repeal wire 4.

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Physics

In the figure, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length a = 13.5 cm. Each wire carries 7.50 A, and the currents are out of the page in wires 1 and 4 and into the page in wires 2 and 3. In unit-vector notation, what is the net magnetic force per meter of wire length on wire 4? Incorrect. Create the free-body diagram for wire 4 Use the checkboxes to select the correct vectors as instructed above. Move the vectora to the correct starting points and orient them in the correct direction as instructed. F₁ F₂ F₁ F₁ Draw free-body diagram here 2 Key to Force Labels F = Farce from wire 1 F₂-Force from wire 2 F₁-Force from wire 3 F4-Force from wire 4

In the figure, four long straight wires are perpendicular to the page, and their cross sections form a square of edge length a = 13.5 cm. Each wire carries 7.50 A, and the currents are out of the page in wires 1 and 4 and into the page in wires 2 and 3. In unit-vector notation, what is the net magnetic force per meter of wire length on wire 4? Incorrect. Create the free-body diagram for wire 4 Use the checkboxes to select the correct vectors as instructed above. Move the vectora to the correct starting points and orient them in the correct direction as instructed. F₁ F₂ F₁ F₁ Draw free-body diagram here 2 Key to Force Labels F = Farce from wire 1 F₂-Force from wire 2 F₁-Force from wire 3 F4-Force from wire 4

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

In this educational exercise, four long straight wires are positioned perpendicular to the page, forming a square with an edge length of \( a = 13.5 \, \text{cm} \). Each wire carries a current of \( 7.50 \, \text{A} \). The currents in wires 1 and 4 flow **out of the page**, while the currents in wires 2 and 3 flow **into the page**. The problem requires calculating the net magnetic force per meter on wire 4 in unit-vector notation.

### Diagram and Forces

The top image depicts the arrangement of the four wires:
- Wire 1 is at the top left.
- Wire 2 is at the top right.
- Wire 3 is at the bottom right.
- Wire 4 is at the bottom left.

The task is to create a free-body diagram for wire 4 by considering the forces from each of the other wires (F1, F2, F3). Below this, a corrected solution highlights how the vectors should be placed.

#### Steps:

1. **Identify Forces**:
- \( F_1 \) is the force exerted on wire 4 by wire 1.
- \( F_2 \) is the force exerted on wire 4 by wire 2.
- \( F_3 \) is the force exerted on wire 4 by wire 3.

2. **Vector Placement**:
- Move each vector to the correct starting point and orient it in the proper direction, as shown in the free-body diagram with angles.
- \( F_1 \) is placed at 40 degrees from the horizontal.
- \( F_2 \) is placed opposing \( F_1 \) as per magnetic force interactions.

3. **Key to Force Labels**:
- \( F_1 = \text{Force from wire 1} \)
- \( F_2 = \text{Force from wire 2} \)
- \( F_3 = \text{Force from wire 3} \)
- \( F_4 = \text{Force from wire 4} \) (not shown, since it’s the wire experiencing forces).

By considering these interactions and using the right-hand rule, the student can calculate the magnetic forces' contribution in unit-vector form, ensuring a comprehensive understanding of electromagnetic interactions between current-carrying

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