6. Use the information given in the figure for the series RCL circuit to determi

Question

6. Use the information given in the figure for the series RCL circuit to determine its sotal impedance (L-0.035 ", R-150 , _ 1.75 ., f-6011.) A)300 11) 500 C) 1500 D) 1700 0.o5 11 600H 150 ) 1900 1.75 x 10 7. When a resistor is connected by itself to an ac generator, the average power delivered to it is Pave- Gem1.000 W I w. When a capacitor is added in series with the resistor, the power delivered is Pave-C-as w. When an inductor is added in series with the resistor only, (without the capacitor), the power delivered is Pav-1-0.250 W. Find the power delivered when all the three elements, the capacitor, inductor and the resistor are connected, in series, to the same generator V Sin t

Explanation / Answer

6. R = 150 ohm

XL = 2 pi f L

XL = 2 x pi x 60 x 0.035 = 13.2 ohm

Xc = 1 / (2 pi f C ) = 1/(2 x pi x 60 x 1.75 x 10^-6)

Xc = 1515.8 ohm

Z = sqrt[ R^2 + (XL - XC)^2]

Z = sqrt[ 150^2 + (13.2 - 1515.8)^2]

Z = 1510 ohm

Ans(C) 1500 ohm

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