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If two sinusoidal of the same frequency but of different amplitudes and phase difference are added, the resultant is a ?sinusoid of double the original frequency sinusoid of the same frequency non-sinusoid sinusoid of half the original frequency

Question

If two sinusoidal of the same frequency but of different amplitudes and phase difference are added, the resultant is a ?sinusoid of double the original frequency sinusoid of the same frequency non-sinusoid sinusoid of half the original frequency

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Solution

The resultant is a sinusoid of the same frequency. When two sinusoidal waves of the same frequency are added together, the amplitude of the resultant wave will be the sum of the amplitudes of the two original waves, and the phase will be somewhere between the phases of the two original waves. However, the frequency of the resultant wave will remain the same as the original frequency.

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