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By J. Beynon (auth.)
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Example text
4, where m is zero or an integer; (e) none of these but ... 1 (a) This is standard differentiation. ; w = 2-rrv/")1.. _) because 6, the wavelength is 100 em. Similarly for S. 7 to obtain if>. 05 sin [4rr (t- ~2)] Determine the time taken for the wave to travel 7 60 em. The phase of the wave at this point at time t equals the phase at the source at the earlier time of (t- 1914). Also amplitude is inversely proportional to distance. 5. 9 sin(~ - wt). Use the phasor (a) Expand the cosine and sine terms.
4, where m is zero or an integer; (e) none of these but ... 1 (a) This is standard differentiation. ; w = 2-rrv/")1.. _) because 6, the wavelength is 100 em. Similarly for S. 7 to obtain if>. 05 sin [4rr (t- ~2)] Determine the time taken for the wave to travel 7 60 em. The phase of the wave at this point at time t equals the phase at the source at the earlier time of (t- 1914). Also amplitude is inversely proportional to distance. 5. 9 sin(~ - wt). Use the phasor (a) Expand the cosine and sine terms.
Point B, varies its distance from the Z-axis and takes all values between 0 and A - thus behaving like the displacement y. After a time t, point P moves toP' and the radius vector makes an angle ( 1/1 - wt) with the Z-axis. 1 is called a phase-amplitude or phasor diagram. 6) Two wave motions of the same frequency can be superposed if the phase difference 6 between them is constant at all times. Then the sources producing them are referred to as coherent. Two circles are needed if the amplitudes are different: point P can be determined for each wave motion and the resultant amplitude found using either the 'parallelogram of forces' concept or the cosine rule, as in Fig.