A piece of wire of resistance R is cut into five equal parts

Question 1:

A piece of wire of resistance R is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R', then the ratio R/R' is –

(d)    Resistance of a piece of wire is proportional to its length. A piece of wire has a resistance R. The wire is cut into five equal parts.

Therefore, resistance of each part =R/5

All the five parts are connected in parallel.

∴equivalent resistance (R') is given as

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