JUPEBPhysicsCurrent Electricity

The length of a uniform wire is doubled and its cross-sectional area is halved. Its resistance becomes

Atwice the original.
Bfour times the original.CORRECT
Cone quarter of the original.
Dunchanged.
AI
Toaster Teacher
Why the answer is B, and why the others tempt you.
$R = \dfrac{\rho L}{A}$. Doubling $L$ doubles $R$ and halving $A$ doubles it again, so the resistance becomes four times as large. Considering only one of the two changes gives twice.
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