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An infinite ladder is constructed with 1...

An infinite ladder is constructed with `1(Omega)`and `2(Omega)`resistor as shown in figure.(a)Find the effective resistance between the point A and B. (b) Find the current that passes through the `(2 Omega)` resistor nearest to the battery.

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The correct Answer is:
A
(i) Let the effective resistance between points C and D be
R then the circuit can be redrawn as shown
The effective resistance between A and B is
`R_(eq) = 1+ (2 xx R)/(R + 2)`
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