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A wire of resistance R is cut into ‘n’ equal parts. These parts are then connected in parallel. The equivalent resistance of the combination will be
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- nR
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R n -
n R -
R n2
Correct Option: D
Since R is directly proportional to length of the wire, when wire is cut into equal parts, then Resistance of each part = R/n When the wires are connected in parallel, then the equivalent resistance of combination is
1/R2 = n/R + n/R + n/R ....n times
or, 1/R2 = n2R
or, R2 = R/n2
