A series circuit contains a 5.00/-H inductor, a5.00/-F capacitor, and a 30.0- re

Question

A series circuit contains a 5.00/-H inductor, a5.00/-F capacitor, and a 30.0- resistor connectedto a 120-V (rms) source of variable frequency. Find: a) the resonance frequency b) the capacitative reactanve [] at th resonancefrequency c) impedence []at f=60 Hz d) the phase angle at f=60 Hz e) the power [W] delivered to the circuit at f=60 Hz A series circuit contains a 5.00/-H inductor, a5.00/-F capacitor, and a 30.0- resistor connectedto a 120-V (rms) source of variable frequency. Find: a) the resonance frequency b) the capacitative reactanve [] at th resonancefrequency c) impedence []at f=60 Hz d) the phase angle at f=60 Hz e) the power [W] delivered to the circuit at f=60 Hz

Explanation / Answer

Given        L = 5/ H =1.593H         C = 5/C = 1.593 C         R =30        Vrms   = 120V a) R esonant frequency   f =1/(2LC) b) cpacitative at reactance at resonancefrequency            XC = 1 / C              where   = 2 f    (since f isfrom (a) ) c) impedence at frequency f = 60 Hz             Z = R2 + ( XL - XC)2         where XL =L = 2f  (since   f = 60Hz)               XC = 1 / C    =2f   (since   f = 60Hz) d)phase angle =tan-1   [ (  XL -XC ) / R]               where XL = L =2f   (since   f = 60Hz)               XC = 1 / C    =2f   (since   f = 60Hz)               XC = 1 / C    =2f   (since   f = 60Hz)     e)power delivered to the circuit           P = Irms Vrmscos               Irms = Vrms /Z                 cos = R / Z plug the values and get the answers         I hope this helpsyou!                 

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