12.
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The equivalent resistance of resistors connected in parallel is
In our problem, we have 5 identical resistor of resistance
, so their equivalent resistance is
The problem also says that the equivalent resistance is
, so we can find the resistance R of each piece of wire:
In the initial wire, it's like the 5 pieces are connected in series, so the equivalent resistance of the wire is just the sum of the resistances of the 5 pieces:
In our problem, we have 5 identical resistor of resistance
The problem also says that the equivalent resistance is
In the initial wire, it's like the 5 pieces are connected in series, so the equivalent resistance of the wire is just the sum of the resistances of the 5 pieces: