Question

A wire of resistance 1 ohm divided into two halves, What is the equivalent resistance of a combination when both halves are connected in parallel

Answer 1

1/R=1/R1+1/R2

1/R= 1/.5+1/.5

1/R=2/.5

1/R= 0.25ohm

Answer 2

As we know ,

Resistance is inversely proportional to length ..

So when we cut the wire with resistance 1 ohm ..Then resistance of

2 Wire individual is

2R ...and 2R ..

So when we Calculate the resistance in parallel combination ..Then

$\frac{1}{equivalent \: resistance \: } \\ = \frac{1}{r1} + \frac{1}{r2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = 1 \: ohm$
So equivalent resistance of Combination when it was connected is parallel is 1 Ohm..

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