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https://texercises.com/exercise/railway-line/
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The following quantities appear in the problem: elektrische Stromstärke \(I\) / Magnetische Flussdichte \(B\) /
The following formulas must be used to solve the exercise: \(B = \dfrac{\mu_0 I}{2\pi r} \quad \)
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Exercise:
A family living close to a railway line is worried about the magnetic field produced by the huge currents typically IO flowing through the overhead contact line. The distance between the tracks and their living room is some rO. Estimate the strength of the magnetic field in the living room. Compare the result to a typical value of the earth’s magnetic field and to the DIN limit for low-frequency magnetic fields which is sscBmax  BmaxO. The tracks are used as the return line for the current. How does this affect the magnetic field in the living room?

Solution:
The field produced by the current flowing through the line is given by B BF fracncmuopitimes fracIr resultBP- The result is much weaker than the DIN limit and even weaker than the earth's magnetic field in Zurich.
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Exercise:
A family living close to a railway line is worried about the magnetic field produced by the huge currents typically IO flowing through the overhead contact line. The distance between the tracks and their living room is some rO. Estimate the strength of the magnetic field in the living room. Compare the result to a typical value of the earth’s magnetic field and to the DIN limit for low-frequency magnetic fields which is sscBmax  BmaxO. The tracks are used as the return line for the current. How does this affect the magnetic field in the living room?

Solution:
The field produced by the current flowing through the line is given by B BF fracncmuopitimes fracIr resultBP- The result is much weaker than the DIN limit and even weaker than the earth's magnetic field in Zurich.
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Magnetism
Tags
current, magnetic field, straight wire, terrestrial field
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(1, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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