A conductor of radius r,length $\ell$ and resistivity $\rho$ has resistance R.What is the new resistance if it is stretched to 4 times its original length?
A) $\frac { 1 } { 16 }$ R
B) $\frac { 1 } { 4 }$ R
C)R
D)4R
E)16R

Question

Quizplus · Accepted Answer

When the conductor is stretched to 4 times its original length, its cross-sectional area decreases, leading to an increase in resistance by a factor of 16, since resistance is proportional to the square of the length increase.

A Conductor of Radius R,length ℓ\ellℓ And Resistivity ρ\rhoρ Has Resistance R 116\frac { 1 } { 16 }161​

A Conductor of Radius R,length $\ell$ And Resistivity $\rho$ Has Resistance R $\frac { 1 } { 16 }$