Exercise
https://texercises.com/exercise/magnetic-field-in-the-uetliberg-railway/
Question
Solution
Short
Video
\(\LaTeX\)
Uetlibergbahn
User:Iwouldstay , , 2005, digital photograph, Wikipedia
<Wikipedia> (retrieved on October 31, 2022)
Need help? Yes, please!
The following quantities appear in the problem: elektrische Stromstärke \(I\) / Magnetische Flussdichte \(B\) / elektrische Spannung \(U\) / Leistung \(P, \Phi\) /
The following formulas must be used to solve the exercise: \(P = UI \quad \) \(B = \dfrac{\mu_0 I}{2\pi r} \quad \)
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Could you use a compass to determine whether the Uetliberg railway is operating? The train on this line which goes up the hill the people of Zurich call a enquotemountain is powered by direct current DC and has a rated power of PO. Is the magnetic field produced by the current in the overhead line at a distance of rO comparable to the strength of the Earth’s magnetic field? If so a compass would be able to detect it.

Solution:
Geg U UO U P PO P r rO r GesMagnetfeldBsitesla The current can be calculated from the rated power and the operating voltage: I fracPU fracPU .eA I This current flowing in a straight conductor generates a magnetic field of the following strength at a distance of rO: B fracmu_ Ipi r fracmu_ Ppi r U fracncmu Api r B approx BS BP- The Earth's magnetic field also has a magnitude of np. Therefore the current strength can be detected using a compass. B fracmu_ Ppi r U BS BP-
Report An Error
You are on texercises.com.
reCaptcha will only work on our main-domain \(\TeX\)ercises.com!
Meta Information
\(\LaTeX\)-Code
Exercise:
Could you use a compass to determine whether the Uetliberg railway is operating? The train on this line which goes up the hill the people of Zurich call a enquotemountain is powered by direct current DC and has a rated power of PO. Is the magnetic field produced by the current in the overhead line at a distance of rO comparable to the strength of the Earth’s magnetic field? If so a compass would be able to detect it.

Solution:
Geg U UO U P PO P r rO r GesMagnetfeldBsitesla The current can be calculated from the rated power and the operating voltage: I fracPU fracPU .eA I This current flowing in a straight conductor generates a magnetic field of the following strength at a distance of rO: B fracmu_ Ipi r fracmu_ Ppi r U fracncmu Api r B approx BS BP- The Earth's magnetic field also has a magnitude of np. Therefore the current strength can be detected using a compass. B fracmu_ Ppi r U BS BP-
Contained in these collections:


Attributes & Decorations
Branches
Magnetism
Tags
electromagnetism, magnetism, physics
Content image
Uetlibergbahn
Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration