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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 current that passes through the resistance \( R_{2} \) nearest to the \( V_{0} \) is
(1) \( \frac{(k-1)^{2}}{k} \frac{V_{0}}{R_{3}} \)
(2) \( \frac{(k+1)^{2}}{k} \frac{V_{0}}{R_{3}} \)
(3) \( \left(k+\frac{1}{k^{2}}\right) \frac{V_{0}}{R_{3}} \)
(4) \( \left(\frac{k-1}{k^{2}}\right) \frac{V_{0}}{R_{3}} \)
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