50.50. A piece of wire of resistance R is cut into 4 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) 1/16
(b) 1/4
(c)4
(d) 16
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Explanation:
A piece of wire of resistance R is cut into five equal parts These parts are then connected in parallel the net resistance now will be
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.
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