An LC circuit consists of a 3.09 mH inductor and a 5.04 ?F capacitor. (a) Find i

Question

An LC circuit consists of a 3.09 mH inductor and a 5.04 ?F capacitor. (a) Find its impedance at 56.5 Hz. (b) Find its impedance at 10.5 kHz. CH2. (c) Now a 33.8 ? resistor is added in series with the inductor and capacitor. Find the impedance of this RLC circuit at 565 At 56.5 Hz At 10.5 kHz and . (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 low frequency, the capacitor dominates At low frequency, the inductor dominates. At high frequency, the capacitor dominates. The resistor makes little contribution to the total impedance. At high frequency, the inductor dominates.

Explanation / Answer

a) XL = 2pi fL = 1.09 ohms

Xc= 1/ ( 2pi fC) = 559.19 ohms

Z =558 . 1 ohms apprx

b)XL = 2 pi (10.5 x10^3) (3.09 x 10^-3) =203.754 ohms apprx

XC= 10^6 / (2 x 3.14 x 10.5 x 10^3 x 5.04) = 3 ohms

Z = 200.745 ohms

c) Z = sqroot ( R^2 + { XL-XC}^2) = sqroot (33.8^2 + 558.1^2) = 559.122 ohms apprx

Z = sqroot ( 33.8^2 + 200.745^2) =203.57 ohms apprx

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