1.

A copper wire of resistance `R_(0)` is strerched till its length is increased to n times of its original length. What will be its new resistance?

Answer» Original resistnace, `R_(0) = rho l_(0)//A_(0)`
New resistance, `R = rho l//A`.
As the volume of wire remains constant,
so `l_(0)A_(0)=lA= (n l_(0)) A or A= A_(0)//n`
Now `R=(rho l)/(A)= rho (n l_(0))/(A_(0)//n)=n^(2)((rho l)/(A))=n^(2) R_(0)`


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