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Resistance R,2R,4R,8R ...... oo are conn...

Resistance R,2R,4R,8R ...... `oo` are connected in parallel. What is their resutlant resistance will be

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`(1)/(R_(eq))`=`(1)/(R)+(1)/(2R)+(1)/(4R)+(1)/(8R)`............`infty` =`(1)/(R)[1+(1)/(2)+(1)/(4)+.............infty]`
=`(1)/(R)[(1)/(1-(1)/(2))]`=`(2)/(R)` `rArr` `R_(eq)`=`(R)/(2)`
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