AP Physics 2mediummcq1 pt
A wire has a resistance of 5Ω. If the wire is stretched to twice its original length while maintaining the same volume, what will be its new resistance?
A.5 Ω
B.10 Ω
C.20 Ω
D.40 Ω
When the wire is stretched to twice its original length, its cross-sectional area decreases by half to maintain the same volume. Since resistance is proportional to length and inversely proportional to cross-sectional area, R = ρL/A, doubling the length and halving the area results in a resistance that is 2 × 2 = 4 times the original resistance. Therefore, the new resistance is 4 × 5Ω = 20Ω.
C20 Ω
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