Question

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 this combinationis R' then the ratio of R/R' is
(a) 1/50 (b) 25
(c) 5
(d) 1/5​

Answer 1

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Answer 2

Answer:

b) 25

Explanation:

We know,

1. When a resistance is divided into n identical resistance, each of resistance ( say ) become R/n.
2. When n identical resistors each of resistance R', are connected in parallel, the equivalent resistance is R'/n
3. The resistor R, when divided into five parts become resistors of resistance R/5 each.
4. The recombination of five resistors each of resistance R/5, give resistance equivalent resistance R' of R value 5/5 = R/25
5. Hence,

R/R' = 25/1

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