A series RLC circuit consists of an 8Ω resistor, a 20mH inductor, and a 1700μF capacitor. It is attached to a 250 rad/sec oscillator with a peak voltage of 28.0V. Please calculate the following:
a. The rms source voltage
b. Impedance of the circuit
c. The peak current
d. The rms current
e. The phase angle
f. The maximum current (both rms and peak value)
g. The resonance frequency
h. Is the circuit at resonance? If yes, what is the nature of the circuit (resistive/ inductive/ capacitive)? If not, what is the nature of the circuit (resistive/ inductive/ capacitive)?
i. The power factor
j. The average power delivered by the source
k. How much capacitance needs to be added to increase the power factor to 1.0? How would you connect the capacitor in your circuit (in series or in parallel)? Please explain.
l. Draw the emf and current in (i) time domain; please clearly indicate the peak voltage of each, time period, and phase relation; (ii) phasor domain.