A typical AC signal is the sinusoidal signal, and a general mathematical expression of a sinusoidal signal is: A cos(w.t+), where A is the amplitude, w is the frequency, t is time, is phase angle. For instance, the output voltage of an AC voltage source can be represent as: V (t) = 10 cos(2 t+60°). To analyze AC circuits, we convert AC signals from the time domain to the frequency domain. Phasor is the resulting frequency domain representation: A cos(w t+) A. ejd On the left side is a sinusoidal signal, and on the right side is a Phasor. j is complex number notation, where 2 = -1. To get a Phasor notation from a time domain signal, we take the amplitude and the phase angle information from the sinusoidal signal. To convert a Phasor back to a sinusoidal signal, you need to know the source frequency. Which is the correct Phasor representation for V, (t) = 10 cos(2 t+60°)?

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A typical AC signal is the sinusoidal signal, and a general mathematical expression of a
sinusoidal signal is:
A cos(w.t+),
where A is the amplitude, w is the frequency, t is time, is phase angle. For instance, the
output voltage of an AC voltage source can be represent as: Vs (t) = 10 cos(2. t + 60°).
To analyze AC circuits, we convert AC signals from the time domain to the frequency domain.
Phasor is the resulting frequency domain representation:
A cos(w t+) A. ejo
On the left side is a sinusoidal signal, and on the right side is a Phasor. j is complex number
notation, where j² = -1.
To get a Phasor notation from a time domain signal, we take the amplitude and the phase
angle information from the sinusoidal signal. To convert a Phasor back to a sinusoidal signal,
you need to know the source frequency.
Which is the correct Phasor representation for V₂ (t) = 10 cos(2 t + 60°)?
10. .e2
O 10. e60°
02.2
2. e360°
Transcribed Image Text:A typical AC signal is the sinusoidal signal, and a general mathematical expression of a sinusoidal signal is: A cos(w.t+), where A is the amplitude, w is the frequency, t is time, is phase angle. For instance, the output voltage of an AC voltage source can be represent as: Vs (t) = 10 cos(2. t + 60°). To analyze AC circuits, we convert AC signals from the time domain to the frequency domain. Phasor is the resulting frequency domain representation: A cos(w t+) A. ejo On the left side is a sinusoidal signal, and on the right side is a Phasor. j is complex number notation, where j² = -1. To get a Phasor notation from a time domain signal, we take the amplitude and the phase angle information from the sinusoidal signal. To convert a Phasor back to a sinusoidal signal, you need to know the source frequency. Which is the correct Phasor representation for V₂ (t) = 10 cos(2 t + 60°)? 10. .e2 O 10. e60° 02.2 2. e360°
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