Question

3. 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
(a) 1/25
(b) 1/5
(c) 5
(d) 25​

Answer 1

Answer:

When we cut the wire into 5 parts, each one has a length of l5 and all other parameters remain unchanged. So the resistance of each new segment isR5. Connecting them parallel gives a network as shown in fig1. So the ratio RR′=25 , which is the required answer.

Answer 2

Answer:

d 25

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