Find the equivalent resistance for the infinite network

Chapter 2, Problem P2.13

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Find the equivalent resistance for the infinite network shown in Figure P2.13(a). Because of its form, this network is called a semiinfinite ladder. (Hint: If another section is added to the ladder as shown in Figure P2.13(b), the equivalent resistance is the same. Thus, working from Figure P2.13(b), we can write an expression for Req in terms of Req. Then, we can solve for Req.) (a) (b) 8 8 5 8 8 8 5 8 Req 8 8 Req 5 Req Ladder network of (a) Figure P2.13

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