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The length of a given cylindrical wire is increased by 100% due to the consequent decrease in diameter the change in the resistance of the wire will be

The length of a given cylindrical wire is increased by 100% due to the consequent decrease in diameter the change in the resistance of the wire will be
 

Grade:12th pass

2 Answers

Arun
25763 Points
2 years ago
As we knowR = 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 %
Aastha Singh
askIITians Faculty 210 Points
2 years ago
DEAR STUDENT, KINDLY REFER THE IMAGE, KEEP POSTING YOUR DOUBTS
579-1782_IMG_20190119_123209.jpg

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