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Waves and Sounds

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Moderate

Phasors: Maximum Resulting Amplitude

WAVES-ZMEDPB

Two phasors representing waves on the same string have fixed amplitudes of 2 units (red) and 3 units (blue). The phasors are shown with five possible relative phase angles below.

Figures A-E. Suzanne Taylor. Created for Albert.io. Copyright 2016. All rights reserved.

What is the correct ranking of the resulting amplitudes of the waves shown in Figures A-E, from largest to smallest?

A

E>B>A>C>D

B

D=E>C>B>A

C

A>B>C>E>D

D

D>C>A>B>E

E

All produce the same amplitude.