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Gives V=V0sin(1000t+ϕ)
ω=1000s−1,L=100mHC=2μF,R=400Ω
Phase difference θ=tan−1(XL−XCR)
XL=ωL=1000×100×10−3Ω=100Ω
XC=1/ ωC=11000x2×10−6=500Ω
ϕ=tan−1(100−500400)=tan−1(−1)
⇒ϕ=−45∘ Current leads voltage .
(ii) For P.F.=1,R=Z or XL=XC
⇒Ω2=1LC⇒106=1100×10−3×C'
⇒C'=10−5F
Resultant capacitance in parallel.
C'=C2+C1
C2=10−5−.2×10−5=8μF.
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