A piece of wire of resistance r is cut
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a piece of wire of resistance R is cut into 5 equal parts . these are then connected in parallel to form a combination R1 . what will be the ratio of R1/R
Answered by admin @
Wire is cut into 5 equal parts. Since all dimensions are same for pieces, Resistance of each wire is equal and has a value = R/5.
Resistance is proportional to length of wire and inversely proportional to area of cross-section. IF length is 1/5th, then Resistance is also 1/5 th of original value.
When these five are connected in parallel combination, then net resistance becomes 1/5th again. So R1 = R/5 * 1/5 = R/25
Ratio = R1/R = 1/25
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