A piece of wire of resistance R is cut into 5 equal parts. These parts are…
2024
A piece of wire of resistance R is cut into 5 equal parts. These parts are then connected in parallel. If the equivalent resistance of the combination is R', then the ratio R/R′ is ___
- A.
1/25
- B.
1/5
- C.
25
- D.
More than one of the above
- E.
None of the above
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Correct answer: C
When a wire of resistance R is cut into 5 equal parts, each part has resistance R/5. When these are connected in parallel, the equivalent resistance R' is calculated as 1/R' = 5/(R/5) = 25/R. Therefore, R' = R/25. The ratio R/R' is R/(R/25) = 25.