Please answer the question! A long horizontal wire carries 26.0 A of current due north. The Earth's field 22.0 cm due west of the wire points north but downward, 43° below the horizontal, and has magnitude of \(5.0 \times 10^{-5}\) T. **Question:**What is the magnitude of the net magnetic field 22.0 cm due west of the wire?**Explanation:**This question likely relates to finding the magnetic field produced by a current-carrying wire. To solve this, one would typically use the Biot-Savart Law or Ampere's Law. It involves calculating the magnetic field at a specific point relative to the wire, considering the direction and distance given (22.0 cm west).**For Educational Context:**To determine the net magnetic field:1. **Identify the Current**: Determine the amount of current flowing through the wire.2. **Use the Right-Hand Rule**: This helps find the direction of the magnetic field around the wire.3. **Mathematical Calculation**: Use the formula \(B = \frac{{\mu_0 \cdot I}}{{2\pi \cdot r}}\), where \(B\) is the magnetic field, \(\mu_0\) is the permeability of free space, \(I\) is the current, and \(r\) is the distance from the wire (22.0 cm in this case).This problem reinforces concepts of electromagnetism and vector analysis. Participants are encouraged to visualize field lines and engage in calculation exercises to comprehend the effects of electric currents on magnetic fields.

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Answered: A long horizontal wire carries 26.0 A…

A long horizontal wire carries 26.0 A of current due north. The Earth's field 22.0 cm due west of the wire points north but downward, 43° below the horizontal, and has magnitude of 5.0×10-5T.

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

Please answer the question!

A long horizontal wire carries 26.0 A of current due north. The Earth's field 22.0 cm due west of the wire points north but downward, 43° below the horizontal, and has magnitude of \(5.0 \times 10^{-5}\) T.

**Question:**

What is the magnitude of the net magnetic field 22.0 cm due west of the wire?

**Explanation:**

This question likely relates to finding the magnetic field produced by a current-carrying wire. To solve this, one would typically use the Biot-Savart Law or Ampere's Law. It involves calculating the magnetic field at a specific point relative to the wire, considering the direction and distance given (22.0 cm west).

**For Educational Context:**

To determine the net magnetic field:

1. **Identify the Current**: Determine the amount of current flowing through the wire.
2. **Use the Right-Hand Rule**: This helps find the direction of the magnetic field around the wire.
3. **Mathematical Calculation**: Use the formula \(B = \frac{{\mu_0 \cdot I}}{{2\pi \cdot r}}\), where \(B\) is the magnetic field, \(\mu_0\) is the permeability of free space, \(I\) is the current, and \(r\) is the distance from the wire (22.0 cm in this case).

This problem reinforces concepts of electromagnetism and vector analysis. Participants are encouraged to visualize field lines and engage in calculation exercises to comprehend the effects of electric currents on magnetic fields.

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