A network of resistances is constructed with \( R_{1} \) and \( R_{2} \) as shown in figure. The...

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A network of resistances is constructed with \( R_{1} \) and \( R_{2} \) as shown in figure. The potential at the points \( 1,2,3, \cdots, N \) are \( V_{1}, V_{2} \), \( V_{3}, \cdots, V_{n} \), respectively, each having a potential \( k \) times smaller than the previous one.
The ratio \( R_{1} / R_{2} \) is
(1) \( k^{2}-\frac{1}{k} \)
(2) \( \frac{k}{k-1} \)
(3) \( k-\frac{1}{k^{2}} \)
(4) \( \frac{(k-1)^{2}}{k} \)
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