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The length of a given cylindrical wire is increased by 200%. Due to the consequence decrease in diameter the change in the resistance of the wire will be?

The length of a given cylindrical wire is increased by 200%. Due to the consequence decrease in diameter the change in the resistance of the wire will be?
 

Grade:12

2 Answers

Arun
25750 Points
4 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 600 %
Khimraj
3007 Points
4 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 600 %
 

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