## A metal wire of resistance R is cut into eight equal pieces that are then placed together side by side to form a new cable with a length equ

Question

A metal wire of resistance R is cut into eight equal pieces that are then placed together side by side to form a new cable with a length equal to one-eight the original length. What is the resistance of this new cable

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Physics
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2021-07-22T09:41:11+00:00
2021-07-22T09:41:11+00:00 1 Answers
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## Answers ( )

Answer:R / 64

Explanation:Let he length of the wire is L and its resistance is R.

The resistance of the wire is directly proportional to the length of the wire. As the wire is cut into 8 equal pieces so the resistance of small wire is R/8.

Now they are connected in parallel.

The equivalent resistance is given by

Thus, the equivalent resistance of the new cable is R / 64.