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https://texercises.com/exercise/heating-an-iron-wire/
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Exercise:
An iron wire is heated until its resistance has doubled. Calculate the necessary temperature increase.

Solution:
The increase of the resistivity and therefore the resistance of the wire is given by Delta rho alpharho_T_Delta vartheta In order to double the initial resistivity rho_T_ the increase has to be equal to the initial value: Delta rho rho_T_ alpharho_T_Delta vartheta Solving this for the temperature increase leads to Deltavartheta fracrho_T_alpharho_T_ thF leftalright^- th approx resultthP
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Exercise:
An iron wire is heated until its resistance has doubled. Calculate the necessary temperature increase.

Solution:
The increase of the resistivity and therefore the resistance of the wire is given by Delta rho alpharho_T_Delta vartheta In order to double the initial resistivity rho_T_ the increase has to be equal to the initial value: Delta rho rho_T_ alpharho_T_Delta vartheta Solving this for the temperature increase leads to Deltavartheta fracrho_T_alpharho_T_ thF leftalright^- th approx resultthP
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Attributes & Decorations
Branches
Direct Current
Tags
resistance, resistivity, temperature coefficient
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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