(i) An a.c.Source of voltage V = V_(0)" sin"omegat is connectedto a seriescombination of L,Cand R . Usethephasordiagram toobtainexpressionfor impedanceof thecircuitand phaseanglebetweenvoltage andcurrent. Find theconditionwhen currentwill bephase with thevoltage. Whatis thecircuitin thisconditioncalled ? (ii)In a seriesLRcircuitX_(L)= R andpowerfactorof the circuitis P_(1). Whencapacitor whichcapacitanceC such thatX_(L) =X_(C) is putin series, the powerfactorbecomesP_(2) .Calculate P_(1)//P_(2)

(i) An a.c.Source of voltage V = V_(0)" sin"omegat is connectedto a se

1.	(i) An a.c.Source of voltage V = V_(0)" sin"omegat is connectedto a seriescombination of L,Cand R . Usethephasordiagram toobtainexpressionfor impedanceof thecircuitand phaseanglebetweenvoltage andcurrent. Find theconditionwhen currentwill bephase with thevoltage. Whatis thecircuitin thisconditioncalled ? (ii)In a seriesLRcircuitX_(L)= R andpowerfactorof the circuitis P_(1). Whencapacitor whichcapacitanceC such thatX_(L) =X_(C) is putin series, the powerfactorbecomesP_(2) .Calculate P_(1)//P_(2)
Answer» <P> Solution :`P= COS theta= (R )/(Z )`

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