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https://texercises.com/exercise/coil-from-a-wire/
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Exercise:
A given length of wire is used to make a short coil. For a given current through the wire determine how the magnetic field at the centre of the coil deps on the number of turns.

Solution:
The length L of the wire the radius r of the coil and the number of tunrs N are related as follows: L pi r N We can express the radius in terms of the number of turns: r fracLpi N The magnetic field at the centre of the coil is B fracmu_fracN Ir fracmu_fracN IfracLpi N fracmu_ N IleftfracLpi Nright^- mu_ pi fracN^ IL The magnetic field is proportional to the square of the number of turns.
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Exercise:
A given length of wire is used to make a short coil. For a given current through the wire determine how the magnetic field at the centre of the coil deps on the number of turns.

Solution:
The length L of the wire the radius r of the coil and the number of tunrs N are related as follows: L pi r N We can express the radius in terms of the number of turns: r fracLpi N The magnetic field at the centre of the coil is B fracmu_fracN Ir fracmu_fracN IfracLpi N fracmu_ N IleftfracLpi Nright^- mu_ pi fracN^ IL The magnetic field is proportional to the square of the number of turns.
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Attributes & Decorations
Branches
Magnetism
Tags
coil, current, loop, magnetic field
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
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Link