Question 715520
If the longer wire has the same diameter, its resistance would increase to
(1) R = (1500/500)*20 or
(2) R = 60 ohms
However, it's diameter is twice as large, which means the resistance would decrease (a "fatter" wire has less resistance) by a factor of (d1/d2)^2 or
(2) Rnew = ((.01/.02)^2)*60 or
(3) Rnew = (1/4)*60 or
(4) Rnew = 15 ohms
Answer: The longer but larger diameter wire will have a resistance of 15 ohms.