AC if the signal is of the same amplitude but out of phase yes the net product Vs time will be zero.
The same as in single phase with the same RMS voltage.
The frequency of the power waveform in a capacitive circuit, or for that matter, an inductive circuit, is the same as the input voltage or current. Its just that the current leads the voltage (capacitor) or lags the voltage (inductor) by a phase angle, the cosine of which is the power factor. It does not matter how many sine waves you have, or what their phase angle is; if they all have the same frequency, the resultant, by Fourier analysis, is still a sine wave of the same frequency.
In the US, the National Electrical Code (NEC) will allow you to install single phase and three phase systems in the same conduit.
The frequency must be the same and the phase must be the same as well. This can be indicated by having a lamp connected across the switch (for each phase if 3-phase).
Yes, but only for balanced loads (current in all three phases the same value). The voltage value used is the phase to phase voltage.
coherent waves are waves of the same frequency (same wavelength) and constant phase difference.
COHERENT WAVESWhen the light waves are emitted from a single source and they have the zero phase difference between them then the waves are said to be coherent. The coherent waves are shown below:
I assume that you are referring to phase A and phase B? So what happened to phase C, in that case? The answer is that the magnitudes are the same, but phase B (and phase C) are displaced by 120o. The normal phase sequence (the order in which each voltage would reach its peak value) would be A-B-C.
1 wavelength
when two light waves of same frequency travel approximately in the same direction have a phase difference that remain constant w.r.to time
If their phase difference is constant, then they don't produce light and dark patterns. Light spots are produced where the two sources are in phase, and dark spots where they're out of phase.
Coherent sources are those that radiate waves with same phase or constant phase difference. They're very much essential for producing Fresnel's type of diffraction.
Light waves with the same phase and frequency are said to be coherent.
Incoherent
when two waves superimposed on each other in the same phase (phase diff is 0), then the resultant amplitude becomes the sum of the amplitudes of the two waves. This type of interference is called constructive interference. on the other hand, when two waves superimposed on each other in the opposit phase (phase diff is 180 degree), then the resultant amplitude becomes the difference of the amplitudes of the two waves. This type of interference is called destructive interference.
If waves are going opposite directions: If the two waves have the same amplitude and frequency, they will cancel each other out, resulting in a flatline. If one has a greater amplitude, it will "absorb" the smaller one and the result will be a wave with amplitude of the difference between the two original waves, going in the direction of the first wave with greater amplitude. If they're going the same direction: If the waves have the same frequency and phase, the will simply add on to each other, resulting in a larger wave. If the two have the same frequency but different phase, some parts of the waves will be offset to result in a wave with different amplitude but same frequency (depending how off-phase the waves are). If they have the same frequency and exactly opposite phases, the two will offset into a flatline. If they have different frequency, then it will result in a completely different wave with different frequency, phase, and amplitude.
No. In order to be coherent, the light waves have to be in phase and stay in phase, and the only way for that to happen is for them to have the same wavelength and frequency.