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Exercise:
Two oscillations with the same frequency have amplitudes AO and BO. Calculate the amplitude of their superposition abcliste abc if the two oscillations are in phase. abc if the two oscillations are in antiphase opposite phases. abc if the phase shift between the oscillations is pi/. abc if the phase shift between the oscillations is pi/. abcliste

Solution:
abcliste abc The amplitude is the of the amplitudes: sscAsup AaF A+B resultAaP abc The amplitude is the absolute value of the difference of the amplitudes: sscAsup AbF absA-B resultAbP abc The amplitude corresponds to the hypotenuse of a right-angled triangle: sscAsup AcF sqrtAO^+BO^ resultAcP abc For a general phase shift Deltaphi the amplitude is given by sscAsup AdF sqrtAO^+BO^+timesAOtimesBOtimescospi/ resultAdP abcliste
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Exercise:
Two oscillations with the same frequency have amplitudes AO and BO. Calculate the amplitude of their superposition abcliste abc if the two oscillations are in phase. abc if the two oscillations are in antiphase opposite phases. abc if the phase shift between the oscillations is pi/. abc if the phase shift between the oscillations is pi/. abcliste

Solution:
abcliste abc The amplitude is the of the amplitudes: sscAsup AaF A+B resultAaP abc The amplitude is the absolute value of the difference of the amplitudes: sscAsup AbF absA-B resultAbP abc The amplitude corresponds to the hypotenuse of a right-angled triangle: sscAsup AcF sqrtAO^+BO^ resultAcP abc For a general phase shift Deltaphi the amplitude is given by sscAsup AdF sqrtAO^+BO^+timesAOtimesBOtimescospi/ resultAdP abcliste
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Attributes & Decorations
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Harmonic Oscillations
Tags
superposition
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Difficulty
(1, default)
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Language
ENG (English)
Type
Calculative / Quantity
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