Question

An infinite ladder have resistance of 1 ohm and 2 ohm as it is connected to the 6 volt battery find current in the circuit

Answer 1

Answer:

ans is 2 Amp...........................

Answer 2

Answer:

Let the net resistance r .

$r = 1 + \frac{2r}{r + 2} \\ \\ r(r + 2) = r + 2 + 2r \\ \\ {r}^{2} - r - 2 = 0 \\ \\ {r}^{2} - 2r + r - 2 = 0 \\ \\ r = 2 \: ohms \: ( \: r \: is \: + \: )$

So current

$i = \frac{v}{r} = \frac{6}{2} = 3 \: ohms$