Four harmonic waves of equal frequencies and equal intensities I 0 have phase angles 0 , π 3 , 2 π 3 and π . When they are superposed, the intensity of the resulting wave is n I 0 . The value of n is

Question

Four harmonic waves of equal frequencies and equal intensities I 0 have phase angles 0 , &#960; 3 , 2 &#960; 3 and &#960; . When they are superposed, the intensity of the resulting wave is n I 0 . The value of n is

Aicharya · Accepted Answer

Let amplitude of individual wave is A Then by using phasor method So resultant amplitude A r 2 = A 2 + A 2 + 2 a 2 cos ⁡ 60 ∴ A r 2 = 3 A 2 ∴ I r = 3 I 0

Four harmonic waves of equal frequencies and equal intensities I 0 have phase angles 0 , π 3 , 2 π…

Solution

Four harmonic waves of equal frequencies and equal intensities I 0 have phase angles 0 , &#960; 3 , 2 &#960;…

Solution

Four harmonic waves of equal frequencies and equal intensities I 0 have phase angles 0 , π 3 , 2 π…