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Please workout/show steps how to do 15.4 A series RLC circuit has R = 0.1 k omeg

ID: 1298024 • Letter: P

Question

Please workout/show steps how to do 15.4

A series RLC circuit has R = 0.1 k omega, L= 10 mH and C = 5 nF. Find: (a) the resonant frequency, (b) the bandwidth. and (c) the quality factor. Design a series RLC circuit that will have an impedance of 10 omega at the resonant frequency of omega 0= 50 rad/s and a quality factor of 80. Find the bandwidth. Design a series RLC circuit with BW = 20 rad/s and Omega 0 = 1000 rad/s. Find the circuit's Q. For the circuit in Fig. 15.25, find the frequency omega 0 for which v(t) and i(t) are in phase.

Explanation / Answer

w=1/sqrt[LC]

103 =1/sqrt[LC]

LC=10-6

Q=fo/BW

Q=1000/20

Q=50