1.

Determine the current drawn from a 12 V supply with internal resistance 0.5 Omega by the infinite network shown in Fig. Each resistor has 1 Omega resistance.

Answer»

Solution :FIRST calculate net RESISTANCE of `oo` NETWORK
`x=2+(x)/(x+1)`,
`x^(2)-2x-2=0`
on solving,
`x=1+sqrt3=2.73Omega`
TOTAL resistance `=2.73+0.5`
`=3.23Omega`

`I=(12)/(3.23)=3.73A`


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