when 16 wires which are identical are connected in series, the effective resistance exceeds that when they are in parallel by 31 7/8 ohms. then the resistance of each wire in ohms is ---

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$$\begin{gathered} R is the resis\tan ce of each wire. \\ Net resis\tan ce in series is R_s. \\ {R}_s=16R \\ net resis\tan ce in parallel: \\ \frac{1}{R_p}=\frac{16}{R} \\ {R}_p=\frac{16}{R} \\ {R}_s=\frac{317}{8}\times R_p \\ 16R=\frac{317}{8}\times \frac{16}{R} \\ {R}^2=\frac{317}{8} \\ R=6.29 ohm \end{gathered}$$

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