An infinite ladder is constructed with 1Ω and 2Ω resistors as shown in figure (32-E22). (a) Find the effective resistance between the points A and B. (b) Find the current that passes through the 2Ω resistor nearest to the battery.
a) Let the equation resistance of the combination be R.
Potential between A and B
3.1 + 2.i = 6
=> 3 + 2i = 6 => 2i = 3
=> i = 1.5 a
