What is the equivalent resistance of the combination

A wire of resistance R is cut into ‘n’ equal parts. These part are then connected in parallel. The equivalent resistance of the combination will be

  1. nR
  2. R/n
  3. n/R
  4. R/n square
Manish Listener Asked on 5th November 2014 in Science.
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1 Answer(s)

R/n Square

Since R is directly proportional to length of the wire.
when wire is cut into n equal parts, then Resistance of each parts, then
Resistance of each part=R/n
When the n wires are connected in parallel, then the equivalent resistance of combination is

1/R 2(subscript)=n/R ÷ n/R ÷ n/R …………. n times
1/R 2(subscript) = n square/R
R 2(subscript) = R/n square

Monis Rasool Professor Answered on 20th April 2015.
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