2/3 points 1 Previous Answers KatPSEF1 33 P057 My Notes Ask Yoar Teaches A serie

Question

2/3 points 1 Previous Answers KatPSEF1 33 P057 My Notes Ask Yoar Teaches A series RLC circuit with a resistance of 135 0 ? has a resonance angular frequency of 2.5 x 10s rad/s. At resonance, the voltages across the resistor and inductor are 60.0 V and 40.0V respectively (a) Determine the values of L and C L=36e-4 C 4.44e-8 (b) At what frequency does the current in the circuit lag the voltage by 45 Hz Nood Help? Lostwewh Submit Assignment Save Assignment Progress Home My Assigements Extension Reque 230018 Type here to search

Explanation / Answer

b)

Power factor

PF=Cos45=R/Z

Impedance

=>Z =135/Cos45 =190.92 ohms

Since Impedance

Z=sqrt[R2 +(WL -1/WC)]2

190.922=1352 +(3.6*10-4W -1/[(4.44*10-8)W])2

3.6*10-4W -1/[(4.44*10-8)W]) =135

(1.5984*10-11)W2-135W-1=0

W=8.446*1012 rad/s

Frequency is

f=W/2pi=8.446*1012/2pi

f=1.344*1012 Hz

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