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Sinusoidal Wave Question?
Given the sinusoidal wave shown below. Find the amplitude, peak-to-peak value,
period, frequency and phase of the waveform and then use these in an expression
that fully describes the waveform.
http ://tiny pic.co m/view.p hp?pic=2r2qd1k&s=5
4 Answers
- O-360Lv 61 decade agoFavorite Answer
The amplitude is 3V.
The peak-to-peak value is 6V.
The period (T) is approximately 4ms
The frequency is 1/T = 1/.004 = 250Hz
The phase is a little more difficult. I'd estimate that the first zero-crossing is about 0.3ms. To calculate the phase offset:
φ = (0.3/4.0)*360° = 27°
Since this is approximately a sine wave, but at t=0 the value is negative, the phase is also negative, so:
φ = -27° = -27*pi/180 = -.471radian
V = 3*Sin(2*pi*250*t - .471)
P.S. the URL had a lot of "sp aces" in it that needed to be removed??
Source(s): http://tinypic.com/view.php?pic=2r2qd1k&s=5 - Anonymous1 decade ago
Take a better Digital oscilloscope with all the digital on-screen readout windows available which tells you all that and more - RMS, P-P, Period (if more than two cycles on the screen), Frequency, FFT harmonic content, Delta time measurements using cursors etc - everything about a waveform.
However - a Phase measurement requires 2 (two) wave forms.... measuring the phase difference between the reference (1st trace) and the second wave form on the 2nd trace.
That's how I go about it.
- 1 decade ago
amplitudeA = 3V , peak-to-peak value = 6 V,
period = 4 ms, frequency f= 250Hz
for the phase you must mesure precisely but it must be around
p = 0.3 ms
so the waveform expression is f(x) = A sin(2Pi.f.x - p)