# 9 under which of the following conditions does the

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9Under which of the following conditionsdoes the largest current flow through this cir-cuit?
4.the resonant angular frequency,ω=1LCcorrect5.only at lower frequencies, 0< ω <1LCThe maximum current isImax=VmaxZ=VmaxradicalbigR2+ (XLXC)2
Whenωis on resonance (ω0=1L C) thereactance will be zero and the largest currentwill flow.023(part2of2)10.0pointsWhat is the power factor for the circuit?
Faraday’sLawandACcircuitsyeazell(58010)10024(part1of3)10.0pointsYou are designing a radio receiver based onthe idea of a seriesLRCcircuit as shown be-low. The two major radio stations in town areKUT and KMFA, which broadcast at frequen-cies 95.5 MHz and 94.5 MHz, respectively.Electromagneticsignalsfromthesera-dio stations simultaneously supply sinusoidalemfsEKUT=V0sin(ωKUTt)andEKMFA=V0sin(ωKMFAt)to the circuit via an antenna.The receiv-ing circuit includes an inductor of 1.2µH, avariable capacitorC, and a speaker with aresistance.CR1.2µHV0sin(ω t)SpeakerKUTKMFAAt what value of the variable capacitanceCwill the signal in the speaker be maximumfor KUT?Correct answer: 2.31447 pF.Explanation:Let :ν= 95.5 MHz,= 9.55×107Hz,andL= 1.2µH,= 1.2×10-6H.The frequency of KUT isωKUT= 2π νKUT= 2π(9.55×107Hz)= 6.00044×108Hz.At resonanceωKUT=1L CKUT,soCKUT=1L ω2KUT=1(1.2×10-6H) (6.00044×108Hz)2×1012pC1 C=2.31447 pF.025(part2of3)10.0pointsAt what value of the variable capacitanceCwill the signal be maximum for KMFA?Correct answer: 2.36372 pF.Explanation:Let :νKMFA= 94.5 MHz = 9.45×107HzThe frequency of KMFA isωKMFA= 2π νKMFA= 2π(9.45×107Hz)= 5.93761×108Hz.ThusCKMFA=1L ω2KMFA=1(1.2×10-6H) (5.93761×108Hz)2×1012pC1 C=2.36372 pF.026(part3of3)10.0pointsIf KUT and KMFA are broadcasting the “StarSpangled Banner” simultaneously at equalpower, which graph represents the sound vol-ume as the capacitor is tuned?1.Csound volumeCKMFACKUT

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Term
Spring
Professor
RITCHIE/LANG
Tags
Magnetic Field, DI