Friday 23 August 2019

circuit analysis - Closed form expression for a resistor ladder network


Is it possible to find a closed form expression for the resistance between A and B for the general n-section ladder network, below, where all resistors are \$\small 1\Omega\$? An iterative expression is quite easy to derive (\$\small R_n =2 + 1//R_{n-1})\$ enter image description here




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