Question

A piece of wire of resistance r is cut into 4 equal parts. these parts are connected in parallel. Find the equivalent resistence of the combination.
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Answer 1

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Answer :------->

A piece of wire of resistance r is cut into 4 equal parts. So, each of this part will have resistance equal to r / 4.

There are four parts of cut wire each with resistance equal to r / 4.

When these parts are connected in parallel, then equivalent resistance will be :------->

1 / R eq = 1 /( r/4 ) + 1 / (r/4 ) + 1/ ( r/4 ) + 1 / ( r/4 )


1 / R eq = 4 / r + 4 /r + 4 / r + 4 / r


1 / R eq = 16 / r

R eq = r / 16

Hence, the equivalent resistance of the combination when connected in parallel is r / 16.



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Answer 2

if we have to find ratio of R/R1 and resistence is given as R.