GK QUESTION#2950
A uniform wire of resistance R is cut into two equal lengths without changing its cross-section or resistivity. The halves are connected in parallel. What is their equivalent resistance?
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Answer
A. R/4
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Explanation
For a uniform wire of unchanged resistivity and cross-section, each half has resistance R/2. Connecting equal halves in parallel gives 1/Req = 2/(R/2) = 4/R, so Req = R/4.