he AC circuit below has o = 10 rad/s and is in steady state. The phasor iagram shows the phasors of vs and is. You are given the angle a, Is] and |Vs|. The diagram is not necessarily drawn to scale (but Vs is long the imaginary axis). he element in the center (rectangular box) is either an inductor or a apacitor but you are not told which. a) At what time to does the waveform of vR reach its maximum value? (if there are multiple such times, giving one of them is sufficient). b) We select the mystery element such that |Ia| is minimized (not |Ibl). What is the mystery element (capacitor or inductor) and what is its value? VR - Im R1 Vs is Vs Re Is |Is|: alpha: -30 degrees 2A |Vs]: 3 V R1: 30

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The AC circuit below has o = 10 rad/s and is in steady state. The phasor
diagram shows the phasors of us and is. You are given the angle a,
|Isl and |Vsl. The diagram is not necessarily drawn to scale (but Vs is
along the imaginary axis).
The element in the center (rectangular box) is either an inductor or a
capacitor but you are not told which.
(a) At what time to does the waveform of vr reach its maximum value? (if
there are multiple such times, giving one of them is sufficient).
(b) We select the mystery element such that |Ial is minimized (not |Ibl).
What is the mystery element (capacitor or inductor) and what is its value?
VR -
Im
R1
ia
Vs
is
Vs
Re
a
Is
|Isl: 2 A
alpha: -30 degrees
|Vs|: 3 V
R1:
30
Transcribed Image Text:The AC circuit below has o = 10 rad/s and is in steady state. The phasor diagram shows the phasors of us and is. You are given the angle a, |Isl and |Vsl. The diagram is not necessarily drawn to scale (but Vs is along the imaginary axis). The element in the center (rectangular box) is either an inductor or a capacitor but you are not told which. (a) At what time to does the waveform of vr reach its maximum value? (if there are multiple such times, giving one of them is sufficient). (b) We select the mystery element such that |Ial is minimized (not |Ibl). What is the mystery element (capacitor or inductor) and what is its value? VR - Im R1 ia Vs is Vs Re a Is |Isl: 2 A alpha: -30 degrees |Vs|: 3 V R1: 30
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