The resistance of a conductor is computed using the formula:
`R = rho * L/A`
where
`rho` is the resistivity of the material
L is the length of the conductor, and
A is the cross-sectional area of the conductor.
For this problem, let the length of the conductor be y and its cross-sectional area be x. Applying the formula above, the resistance of the conductor will be:
`R =rho * y/x`
When the length and cross-sectional area of the conductor is doubled, the new resistance will be:
`R_(n ew) = rho*(2y)/(2x)`
And it simplifies to
`R_(n ew) = rho * y/x`
Notice that the R_new is the same with the original R.
Therefore, when the length and cross-sectional area of the conductor are increased by the same factor, there is no change in resistance.
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