A length of wire, length l, is clamped at its midpoint. It is then stretched on the right side, with the left side unchanged, to a length of l (the right side has a length l). The original Resistance of the wire was R, what is the new resistance of the wire?
R is proportional to length
The Attempt at a Solution
Using the fact that R is proportional to length (it wants R' in terms of R, so I am ignoring resistivity and such), I conclude that R' = 1.5*R, which is wrong. I got 1.5 by saying the left side is length l/2 and the rightside is length l so l+l/2 = 1.5l. So R'=1.5*R