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

ID: 2030057 • Letter: 6

Question

6. Use the information given in the figure for the series RCL circuit to determine its total impedance (L-0.035 H, R-150Q,c-1.75 F, f-60H.) A)300 B) 500 9 0.035 H 1500 D) 1700 E) 1900 600 H 150 1.75 x 10 F gr le. gle tha nt 7. When a resistor is connected by itself to an ac generator, the average power delivered to it is Pm G"-1.000 w (1 w) when a capacitor is added in series with the resistor, the power delivered is Pa0-5w (without the capacitor), the power delivered is Pae-L-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 When an inductor is added in series with the resistor only icl

Explanation / Answer

6) impedance = sqrt [R2 + (XL - XC)2]

XL = 2 pi f L = 2 pi * 60 * 0.035 = 13.19 ohms

XC = 1 / 2 pi f C = 1 / ( 2 pi * 60 * 1.75 * 10-6) = 1515.76 ohms

impedance = sqrt [1502 + (13.19 - 1515.76)2]

impedance = 1510 ohms [option C]

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