Question

An infinite ladder network is constructed with `1Omega `and `2Omega` resistors as shown. Find the equivalent resistance points `A` and `B`.
A. `1Omega`
B. `2Omega`
C. `3Omega`
D. `4Omega`

Answer 1

Correct Answer - B
The equivalent circuit is

`R_("eq")=(2xxR_("eq"))/((2+R_("eq")))=(2+3R_("eq"))/(2+R_("eq")) i.e. R_("eq")^(2)-R_("eq")-1=0``Rightarrow R_("eq")=(1)/(2)[1pmsqrt(1+8)=2Omega`