Exercise
https://texercises.raemilab.ch/exercise/compensating-the-terrestrial-field/
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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 long straight wire runs perpicularly towards the earth’s surface in Zurich. It carries a current of IO. Where does its field compensate the horizontal component of the earth’s magnetic field?

Solution:
The figure shows some fieldlines of the magnetic field produced by the current top view. Since the horizontal component of the earth's magnetic field pos to north the field produced by the current has to po to south. This is the case to the east of the current. includegraphicswidth.mm#image_path:compensation-in-terrestrial-magnetic-field# In order to compensate the horizontal component B_H the magnetic field B produced by the current has to fulfil B_H B fracmu_pifracIr Solving for the distance r leads to r rF fracncmuopitimesfracIBH r approx resultrP- To it up the horizontal component of the earth's magnetic field is compensated by the field produced by the current at a po rP- to the east of the current.
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Exercise:
A long straight wire runs perpicularly towards the earth’s surface in Zurich. It carries a current of IO. Where does its field compensate the horizontal component of the earth’s magnetic field?

Solution:
The figure shows some fieldlines of the magnetic field produced by the current top view. Since the horizontal component of the earth's magnetic field pos to north the field produced by the current has to po to south. This is the case to the east of the current. includegraphicswidth.mm#image_path:compensation-in-terrestrial-magnetic-field# In order to compensate the horizontal component B_H the magnetic field B produced by the current has to fulfil B_H B fracmu_pifracIr Solving for the distance r leads to r rF fracncmuopitimesfracIBH r approx resultrP- To it up the horizontal component of the earth's magnetic field is compensated by the field produced by the current at a po rP- to the east of the current.
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Magnetism
Tags
current, magnetic field, wire
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration