Ohm’s law, Kirchoff ’s law and the Drunkard’s walk1. Related electrical networks

Recall from Resonance, Vol. 1, No. 7 that when the Drunkard asks: “Will I ever, ever get home again?”, Polya answers: “You can’t miss, just keep going and stay out of 3D!” In this two-part article we show how to look at this question of recurrence and transience of random walks (which was originally asked and solved by George Polya) through electrical networks. In the first part we look at the related electrical networks.