Question

An LC circuit consists of a 3.10 mH inductor and a 5.07 uF capacitor. (a) Find its impedance at 60.8 Hz. (b) Find its impedance at 11.6 kHz. Ω (C) Now a 36.6 12 resistor is added in series with the inductor and capacitor. Find the impedance of this RLC circuit at 60.8 Hz and 11.6 kHz. At 60.8 Hz At 11.6 kHz (d) Compare the values of Z in parts (a) and (b) with those found in part (c), in which there was also a resistor. Why are they similar? (Select all that apply.) At high frequency, the inductor dominates. At low frequency, the capacitor dominates. The resistor makes little contribution to the total impedance. At high frequency, the capacitor dominates. At low frequency, the inductor dominates.

Answer 1

al L= 3.1 mih = 5:07HF . =3.1X10-3 H = 5-07 X10-6 F a) 13.00.8 HZ W=?ÃO s. 382,02 Jedy's X = wl linductance) X, >1 (capacitance we x = 1-182 Excel 392.0245.07 yiot CS Scanned with CamScanner = 516 30 in

sup IZF VXL-XLX Impedance =xc-XL = 516.3 -1.18 - S15:12:12 2=11.6kHz. w=72.88x10 s rad/s. X = WL OT = 225.932 ما نیا - 2.712 121= Hex, 12 = 223.22.02 u) z= √R? + 1CX = Xul? for w= 60.8 Hz Z=51361°+ (515-12) 3 516.382 for w= 11.6k HZ z = V136)+( 223.22)? .226.12 At high frequency inducton dominates At www prequency capacitor dominates "