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Let us first recall these two ways of interference:
Constructive Interference: If two waves both have positive amplitudes meet and with equal amplitude their resulting amplitude is twice of either of individual waves.(your ex.. +10 cm and +20 cm wave.
Destructive Interference: If two waves but one with positive amplitude meets another amplitude with negative value then their resulting amplitude will be smaller than either of individual waves.(your ex.. +10 cm and –20 cm wave)
And as you rightly said the overall displacement of the wave is as easy with simple arithmetic:
Displacement of Pulse 1
Displacement of Pulse 2
=
Resulting Displacement
+1
+2
-1
-2
0
Tip: you could also estimate the position between the various marked points and sketching the wave.( green line in the figure as shown)
Thanks & Regards,
Vasantha Sivaraj,
askIITians faculty
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