In a flat-film strain gage having a rectangular cross section, if the thickness of the film is reduced by 20%, while all other parameters are kept constant, what is the ratio of the new resistance to the old resistance value?
In a flat-film strain gage having a rectangular cross section, if the thickness of the film is reduced by 20%, while all other parameters are kept constant, what is the ratio of the new resistance to the old resistance value?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Step 1
In the given question, the considered conductor is flat film strain gauge.
The resistance of the conductor is directly proportional to the length and inversely proportional to the cross section area given by the below formula,
where R is resistance, l is the length of conductor and A is a rectangular cross section area of the conductor.
Cross section area of the given conductor is given by formula =
In the question, it is given that, the thickness of the flat film is reduced by 20%.
Therefore, the new cross section area will be =
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