LRC Circuits The next three questions pertain to the situation described below.

Question

LRC Circuits

The next three questions pertain to the situation described below. The series circuit is driven by a voltage generator with 12sin(260) Volts. The remaining circuit elements have the following values; R-12.5 2, C 8.5 x 10T F and L 0.25 H. the current through the generator. 10) The voltage across the generator a. lags b. leads c. is in phase with 11) Which of the following circuit elements has the largest peak voltage across it? a. Resistor b. Generator c. Capacitor 12) What is the average power delivered by the generator? a. P 3.3 W average b. P 1.65 W average c. P 2.33 W average

Explanation / Answer

R=12.5

wL=65

1/(wC)=45.25

So

Z=23.27 ohms

So

I=V/Z=0.5134A

as 1/(wC)>wL

so

capacitance is dominant

So

it is leading power factor i.e current leads voltage.

10) a) Lags

11) V(C) peak=45.25*0.5134=23.23Volts

(c) largest V peak across Capacitor

12)cos(phi)=R/Z=12.5/23.27=0.5372

P(average)=0.5VIcos(phi)=0.5*12*0.5134*0.5372=1.65W

option (c)

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