Question 1: Given the series RLC resonant circuit in the figure, operating at variable frequency, determine:
a. The resonant frequency ωo
b. The circuit’s quality factor Q
c. The cut-off frequencies, f1 & f2 and the bandwidth BW
d. The maximum peak current Imax
e. The maximum power and the cut-off power values
Question 2) : For the circuit given in problem # 1, determine:
a. The differential equation describing the total current in the circuit
b. Sketch the frequency-domain (s-domain) equivalent circuit
c. Using the LaPlace transform, determine the s-domain current in the circuit
d. Solve the differential equation for the time-domain current
e. Applying the inverse LaPlace transform determine the time-domain current, and compare with
the solution in “d”.
Question 3: For the parallel RLC resonant circuit in the figure, operating at variable frequency, determine:
a. The resonant frequency ωo
b. The circuit’s quality factor Q
c. The cut-off frequencies, f1 & f2 and the bandwidth BW
d. The maximum peak current Imax
e. The maximum power and the cut-off power values
Qi\uestion 4: Given the circuit in problem # 3, determine:
a. The differential equation describing the total voltage of the circuit (nodal voltage)
b. Sketch the frequency-domain (s-domain) equivalent circuit
c. Using the LaPlace transform, determine the s-domain nodal voltage of the circuit
d. Solve the differential equation for the time-domain nodal voltage
e. Applying the inverse LaPlace transform determine the time-domain nodal voltage, and compare
with the solution in “d”.