(13%) Problem 8: An LC circuit consists of a 3.25 mH inductor and a 6.5 F capaci
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(13%) Problem 8: An LC circuit consists of a 3.25 mH inductor and a 6.5 F capacitor. Randomized Variables L = 3.25 mH f1 = 95 Hz f2 = 12 kHz 50% Part (a) Find its impedance Z at 95 Hz in × 50% Part (b) Find its impedance Z at 12 kHz in Z= 53.341 7 89 HOME sin0 cotan0 asin0 acoso atan)acotan)sinh0 cosh0 tanh cotanh cosO tan() ( 0 END Degrees Radians BACKSPACE DEL CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. Submission History Answer Hints Feedback 0% 0% Z' = 53.34 4% Totals 4%Explanation / Answer
A) Inductive reactance, XL = 2 pi f L = 2 pi x 95 x 3.25 x 10-3 = 1.94 ohm
Capacitive reactance, Xc = 1/2 pi f C = 257.74 ohm
Impedance, Z = ((XL - Xc)2)1/2 = 255.80 ohm
B ) Inductive reactance, XL = 2 pi f L = 2 pi x 12000 x 3.25 x 10-3 = 245.04 ohm
Capacitive reactance, Xc = 1/2 pi f C = 2.04 ohm
Impedance, Z = ((XL - Xc)2)1/2 = 243 ohm
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