The RLC circuit below is being driven by an AC source with a frequency of 47.77

Question

The RLC circuit below is being driven by an AC source with a frequency of 47.77 Hz resulting in a maximum current Imax = 0.25 amps.

9)  Calculate the impedance of this circuit.

24 ohms

50 ohms

55 ohms

111 ohms

135 ohms

10)  Calculate the power dissipated in this circuit.

1.56 W

1.89 W

2.17 W

2.55 W

2.87 W

11)  Calculate VR the maximum voltage across the resistor.

VR=12.5 V

VR=13.9 V

VR=15.3 V

VR=27.8 V

VR=33.8 V

12)  Calculate VC the maximum voltage across the capacitor.

VC=12.5 V

VC=13.9 V

VC=15.3 V

VC=27.8 V

VC=33.8 V

13)  Calculate VL the maximum voltage across the inductor.

VL=12.5 V

VL=13.9 V

VL=15.3 V

VL=27.8 V

VL=33.8 V

14)  Calculate Vo the maximum voltage across the generator.

Vo=12.5 V

Vo=13.9 V

Vo=15.3 V

Vo=27.8 V

Vo=33.8 V

15)  In this circuit, the voltage across the inductor __________ the current through the inductor and the voltage across the capacitor __________ the current through the capacitor.

leads, lags

leads, leads

lags, leads

lags, lags

Explanation / Answer

9) impedence Z = sqrt((XL-XC)^2+R^2)

XL = w*L = 300*0.45 = 135

XC = 1/wC = 1/(300*30*10^-6) = 111.12

R = 50 ohm

Z = sqrt((135-111.12)^2+50^2) = 55 ohms

10) P = irms^2*R = 0.25^2*50/2 = 1.56 W

11) VR = imax*R = 0.25*50 = 12.5 V

12) Vc = imax*Xc = 0.25*111.12 = 27.8 V

13) VL = imax*XL = 0.25*135 = 33.8 V

14) Vo = Io*Z = 0.25*55 = 13.9 V

15) since XL>XC

current lags,voltage leads

So answer is leads,leads

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