The resistance of a conductor is directly proportional to the length of the conductor. The resistance of the metallic wire, when it is cut into ten parts of equal length is
r=R/10
Two such pieces when joined in series, the equivalent resistance of these two parts
=r+r=2r=2R/10
Series resistance of two parts=2xR/10=R/5,
5 such elements are connected in parallel. Therefore the total resistance R' will be
