007 (part 1 of 2) 10.0 points Consider an LC circuit in which the in- ductance i

Question

007 (part 1 of 2) 10.0 points
Consider an LC circuit in which the in-
ductance is 556 mH and the capacitance is
0.08 F.
What is the resonant angular frequency?
Answer in units of rad/s.

008 (part 2 of 2) 10.0 points
If a 4.8 k
resistance is introduced into this
circuit in series with the inductor and ca-pacitor, what is theangular frequency of the
(damped) oscillations?

009 (part 1 of 2) 10.0 points
A series RLC circuit has a resonance fre-
quency of 102.048 Hz. When it is operating
at a frequency of ! > !0, XL = 19.2
and
XC = 3.7
.
Calculate the capacitance for the circuit.
Answer in units of F.

010 (part 2 of 2) 10.0 points
Calculate the inductance for the circuit.
Answer in units of mH.
Answer in units of rad/s.

Explanation / Answer

7 ) the resonance angular velocity : = 1/(LC) = 4741.52rad/s 8) the angular frequency : = (1/LC - R^2/4L^2) = 1962rad/s 9) C = 1/(2fXc) = 421.52 F 10) L = XL/(2f) = 29.82 mH

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