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The resistance of the wire of the strain gauge is related to the resistivity , length and cross-sectional area of the wire by the formula:
The formula above shows that the resistance of the wire is directly proportional to its length and inversely proportional to the cross-sectional area .
As the crack becomes wider, the length increases and the area decreases. Therefore, according to the formula above, the resistance of the strain gauge increases.
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of the wire of the strain gauge is related to the resistivity 
, length 
and cross-sectional area 
of the wire by the formula:
