Problem 3.152

Fig. 3.37 shows an infinite circuit formed by the repetition of the same link, consisting of resistance $R_{1}=4.0 \Omega$ and $R_{2}=3.0 \Omega$ . Find the resistance of this circuit between points $A$ and $B$ .

Reveal Answer

R=\left(1+\sqrt{\left.1+4 R_{2} / R_{1}\right)} R_{1} / 2=6 \Omega\right. \text { . Instruetion. Since the chain is infinite, all the links beginning with the second can be replaced by the resistance equal to the sought resistance R.}

Electric Current