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3. The following series RLC circuit is connected to a sinusoidal AC source, with an emf amplitude E, and a frequency f, so that the
3. The following series RLC circuit is connected to a sinusoidal AC source, with an emf amplitude E, and a frequency f, so that the current is of the form: i(t) = io sin(wt). The values are shown on diagram below. 10 0 Eo = 150 v 1 mH f = 1000 HZ 9 UF a) Determine the inductive and capacitive reactance. Is the circuit more capacitive or more inductive at this frequency? [5 pts] b) Determine the total impedance of the circuit. [5 pts] c) Determine the phase shift o between current and applied voltage. Which leads which? [5 pts] d) Draw a phasor diagram for the impedance. [5 pts] e) Determine VRMS and IRMS. [5 pts] f) Determine the RMS values of: VR, VL, Vc and VLC. [5 pts] g) What is the resonant frequency of this RLC circuit? [5 pts] h) At the resonant frequency, determine VR, VL, Vc and VLC. [5 pts] EXTRA CREDIT: At the time the voltage is i = io, determine the current. [+10 pts]
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