2) Voltage Phasors I Suppose you have a circuit that adds together two time-varying voltage inputs, V; (t) and V2(t), to get a time-varying voltage output,Vout (t). V, (t) + V½(t) = Vout (t) The input voltages have the same driving frequency, fa = 60.00 Hz, but they have different amplitudes %3D and phase angles. V1(t) = Vị sin(@at+ $1) V2(t) = V2 sin(@at+ $2) = 5.000 V and a phase of 1 = 2.498 rad at t = 0.000 s, and V2 (t) has an V,(t) has an amplitude of V1 amplitude of V2 = 7.000 V and a phase of 2 = 4.992 rad at t = 0.000 s. Vout (t) can be written in the following form. Vout (t) = Vout sin(wout t+ Pout) Find an expression for Vout (t) by finding the amplitude Vout, the angular frequency wout, and the phase angle out·

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2) Voltage Phasors I
Suppose you have a circuit that adds together two time-varying voltage inputs, V,(t) and V2(t), to get a
time-varying voltage output,Vout (t).
V (t) + V½(t) = Vout (t)
The input voltages have the same driving frequency, fa
and phase angles.
= 60.00 Hz, but they have different amplitudes
V1(t) = Vị sin(@at+ $1)
V2(t) = V2 sin(@at + $2)
= 2.498 rad at t = 0.000 s, and V2 (t) has an
V,(t) has an amplitude of V = 5.000 V and a phase of 1
amplitude of V2 = 7.000 V and a phase of ø2 = 4.992 rad at t = 0.000 s. Vour (t) can be written in the
following form.
Vout (t)
= Vout Sin(wout t+ Pout)
Find an expression for Vout(t) by finding the amplitude Vout, the angular frequency wout, and the phase
angle out.
3) Voltage Phasors II
Consider again the situation from the previous problem. Sketch V (t), V½ (t), and Vout (t) fromt = 0 to
-004 e sketch all three en
ch
Transcribed Image Text:2) Voltage Phasors I Suppose you have a circuit that adds together two time-varying voltage inputs, V,(t) and V2(t), to get a time-varying voltage output,Vout (t). V (t) + V½(t) = Vout (t) The input voltages have the same driving frequency, fa and phase angles. = 60.00 Hz, but they have different amplitudes V1(t) = Vị sin(@at+ $1) V2(t) = V2 sin(@at + $2) = 2.498 rad at t = 0.000 s, and V2 (t) has an V,(t) has an amplitude of V = 5.000 V and a phase of 1 amplitude of V2 = 7.000 V and a phase of ø2 = 4.992 rad at t = 0.000 s. Vour (t) can be written in the following form. Vout (t) = Vout Sin(wout t+ Pout) Find an expression for Vout(t) by finding the amplitude Vout, the angular frequency wout, and the phase angle out. 3) Voltage Phasors II Consider again the situation from the previous problem. Sketch V (t), V½ (t), and Vout (t) fromt = 0 to -004 e sketch all three en ch
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