Answer:
R / 25
Explanation:
Let the initial length of the wire is L and its resistance is R.
Now the length is cut into 5 equal parts.
The resistance of a wire is directly proportional to the length of the wire, thus, the resistance of each portion of the wire is R/5.
Now the five pieces are connected in parallel combination, the equivalent resistance is
[tex]\frac{1}{R_{eq}}=\frac{5}{R}+\frac{5}{R}+\frac{5}{R}+\frac{5}{R}+\frac{5}{R}[/tex]
[tex]R_{eq}=\frac{R}{25}[/tex]
Thus, the resistance of the new cable is R / 25.
