5. A metallic wire of resistance Ris cut into ten parts of equal length.
Two pieces each are joined in series and then five such combinations
are connected in parallel. What will be the effective resistance of
the combination?
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Answer:
Explanation:
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
when the resistance is connected in series, equivalent resistance is the addition of individual resistances -:
r+r = 2r = 2*R/10=R/5
5 such elements are connected in parallel and we know that the equivalent resistance for the resistances connected in parallel is always the reciprocal sum of individual resistances.
Therefore the total resistance R’ will be= R/25
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