Two waves are represented by $y_{1} = a\sin\left( \omega t + \frac{\pi}{6} \right)$ and $y_{2} = a\cos{\omega t.}$ What will be their resultant amplitude

Question

Dr. Abubacker · Accepted Answer

(c) $A = \sqrt{(a_{1}^{2} + a_{2}^{2} + 2a_{1}a_{2}\cos\phi)}$
Putting $a_{1} = a_{2} = a$ and $\phi = \frac{\pi}{3},$ we get $A = \sqrt{3}a$

Q. Two waves are represented by $y_{1} = a\sin\left( \omega t + \frac{\pi}{6} \right)$ and $y_{2} = a\cos{\omega t.}$ What will be their resultant amplitude

Explanation

Reviewed by Dr. Abubacker

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