### Educational Exhibit: Magnetic Field from Current-Carrying Wires**Problem 5**: Three wires are arranged as shown below. What is the total magnetic field strength and direction at point \( A \)?#### Diagram Description:The diagram depicts three parallel wires aligned horizontally. Each wire carries an electric current and is marked with specific values for current magnitude and direction. The wires are spaced equally, with a separating vertical distance of 4 cm between each neighboring pair.1. **Wire 1**: At the top of the diagram, this wire carries a current of 1 Ampere directed to the right.2. **Wire 2**: Positioned in the middle, this wire carries a current of 2 Amperes flowing to the left. It is located 4 cm below Wire 1.3. **Wire 3**: At the bottom, this wire carries a current of 3 Amperes flowing to the right. The distance between Wire 2 and Wire 3 is also 4 cm.Point \( A \) is situated midway vertically between Wire 2 and Wire 3, making it 4 cm away from both wires immediately above and below it.#### Task:Calculate the total magnetic field strength and determine its direction at point \( A \).This setup illustrates the principle of superposition in magnetic fields, where the net magnetic field at any point is the vector sum of fields due to individual currents. Consider using the right-hand rule and Biot-Savart Law or Ampere's Law for calculations.

Answered: Image /qna-images/answer/24982e3f-dd92-450b-be8d-9d16c8daf1f3.jpg

Answered: Three wires are arranged as shown…

Three wires are arranged as shown below. That is the total magnetic field strength and direc- tion at point A? 4 cm 4 cm! DA 4 cm 1 A 2 A 3 A

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

### Educational Exhibit: Magnetic Field from Current-Carrying Wires

**Problem 5**: Three wires are arranged as shown below. What is the total magnetic field strength and direction at point \( A \)?

#### Diagram Description:
The diagram depicts three parallel wires aligned horizontally. Each wire carries an electric current and is marked with specific values for current magnitude and direction. The wires are spaced equally, with a separating vertical distance of 4 cm between each neighboring pair.

1. **Wire 1**: At the top of the diagram, this wire carries a current of 1 Ampere directed to the right.

2. **Wire 2**: Positioned in the middle, this wire carries a current of 2 Amperes flowing to the left. It is located 4 cm below Wire 1.

3. **Wire 3**: At the bottom, this wire carries a current of 3 Amperes flowing to the right. The distance between Wire 2 and Wire 3 is also 4 cm.

Point \( A \) is situated midway vertically between Wire 2 and Wire 3, making it 4 cm away from both wires immediately above and below it.

#### Task:
Calculate the total magnetic field strength and determine its direction at point \( A \).

This setup illustrates the principle of superposition in magnetic fields, where the net magnetic field at any point is the vector sum of fields due to individual currents. Consider using the right-hand rule and Biot-Savart Law or Ampere's Law for calculations.

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