The length of a given cylindrical wire is increased by 100% due to the consequent decrease in the diameter the change in the resistance of the wire will be
Khush jain , 5 Years ago
Grade 11
2 Answers
Saurabh Koranglekar
Last Activity: 5 Years ago
Dear student
Keeping volume const
If new length is 2l
New radius is r/(sqrt(2))
R = roh ( l/ area)
Rnew = 4 R
Regards
Arun
Last Activity: 5 Years ago
R = p L/A
New l` = 2l ..
Due to increase in length, area must decrease as volume remains constant..
Al = A`l`
Hence, A` = A/2
New Resistance R` = pl`/A` = 4pl/A Change in resistance = 3pl/A or 300 %
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