In the series arrangement, the current remains the same –
\(i_x = i_y\)
For the same diameter, the cross-sectional area will remain the same.
Therefore, \(\begin{array}{l}n_{x} eAv_{x} = n_{y}eAv_{y}\end{array}\)
\(= \begin{array}{l} \frac{v_{x}}{v_{y}} \end{array}\)
\(=\begin{array}{l} \frac{n_{y}}{2n_{y}}\end{array}\)
= 1/2
Therefore, \(\begin{array}{l}v_{x} : v_{y} = 1:2\end{array}\)
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