A cylinderical wire has a resistance of 21.0 ohm. It ismelted down, and from the same volume of metal a new cylindricalwire is made that is three time
Tahmid Knox
Answered question
2020-11-01
Answer & Explanation
gotovub
Skilled2020-11-02Added 98 answers
Notice that resistance of the wire is proportional to length(the longer, the higher resistance) and inv prop to area (thethinner it gets, the greater the resistance).
The key to this problem is recognizing that the volume of thewire stays the same (same amount of material) and the volumeis V = A L
So... if the length increases by a factor of 3, the area alsodecreases by a factor of 3!
What does this do to the resistance of thewire? Increasing its length increases resistance by afactor of 3 and decreasing area increases its resistance by afactor of 3. In all, the resistance increases by a factor of9.
I can't tell where you got the 60 ohms from, but for thiswire... if it started at 21 ohms and you then tripled its length,the resistance increases by a factor of 9 to 189ohms.
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