What is the resonant frequency of this circuit? If we tune the driving frequency to resonance, what will be the new current and phase angle for the circuit? What average power is dissipated by the resistor? What average power is delivered to the circuit? *

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1. Consider the series LRC circuit shown below,
with L = 100 mH, C = 1000 µF, and R = 50 2.
The AC source produces a voltage V(t) = Vo
sin(ot), with Vo = 200 V and w = 90 hertz. A
switch is placed across the capacitor, but left
open for this problem.
b) Find the amplitude and phase angle of the
current coming out of the AC source.
c) What is the maximum voltage drop across
each circuit element, VRo, VLo, and Vco?
d) What is the earliest time, t, for which q(t), the
charge on the capacitor, is zero?
R
Wr-
e) What is the resonant frequency of this circuit?
f) If we tune the driving frequency to resonance,
what will be the new current and phase angle
for the circuit?
Vsinor
L
g) What average power is dissipated by the
resistor?
C
h) What average power is delivered to the
circuit? *
a) What is the total impedance of this circuit?
Transcribed Image Text:1. Consider the series LRC circuit shown below, with L = 100 mH, C = 1000 µF, and R = 50 2. The AC source produces a voltage V(t) = Vo sin(ot), with Vo = 200 V and w = 90 hertz. A switch is placed across the capacitor, but left open for this problem. b) Find the amplitude and phase angle of the current coming out of the AC source. c) What is the maximum voltage drop across each circuit element, VRo, VLo, and Vco? d) What is the earliest time, t, for which q(t), the charge on the capacitor, is zero? R Wr- e) What is the resonant frequency of this circuit? f) If we tune the driving frequency to resonance, what will be the new current and phase angle for the circuit? Vsinor L g) What average power is dissipated by the resistor? C h) What average power is delivered to the circuit? * a) What is the total impedance of this circuit?
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