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Find the effective resistance (resistance between

http://people.tamu.edu/~malindenmoyer/fig.jpg [Broken]

The point is that the input resistance which we do not yet know--call it

*a*and*b*) of an infinitely long ladder of resistors, as shown in the figure, each having resistance*R*.http://people.tamu.edu/~malindenmoyer/fig.jpg [Broken]

The point is that the input resistance which we do not yet know--call it

*R*--will not be changed by adding a new set of resistors to the front end of the chain to make it one unit longer. But now, adding this section, we see that this new input resistance is just*R*in series with the parallel combination of_{1}*R*and_{2}*R*. We get immediately an equation that can be solved for*R*.
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