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Three sinusoidal waves of the same frequency travel along a string in the positive direction of x axis. Their amplitudes are y_1, y_1/2 and y_1/3, and their phase constants are 0, pi/2, and pi respectivey, What are (a) the amplitude and (b) the phase constant of the resultant wave ? |
Answer» Solution :Phasor DIAGRAM WAVE || `phi_2 =pi/2` `A_R =sqrt(((2y_1)/3)^2 +(y_1/2)^2) =y_1sqrt(4/9 +1/4) =5/6 y_1` `phi_R = tan^(-1) ((y_1//2)/(2y_1 //3)) = tan^(-1) (3//4) =37^@` The phase CONSTANT of the RESULTANT wave with respect to first wave is `37^0`. |
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