(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Identical resistors, R, make up the legs and rungs of a resistive ladder of infinite height. Find Req (equivalent resistance) of ladder, measured between points A and B.

2. Relevant equations

3. The attempt at a solution

Here's my thought process:

First make all the parallel resistors (the rungs) into one equivalent resistor. Since it's infinitely tall, this would be R^infinity/(infinity*R)

Second, find the total Req by adding the equivalent resistance for the rungs to the sum of the resistors on the legs. This would make Req=R^infinity/(infinity*R)+(infinity*R)

This makes Req equal to infinity.

But the answer is Req=(1+sqrt(3))*R

Is my process for setting this up wrong?

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# Homework Help: Resistive ladder of infinite height

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