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How can I prove that intensity of a wave is directly proportional to the square of amplitude?

How can I prove that intensity of a wave is directly proportional to the square of amplitude?

Grade:12

1 Answers

Amar Kumar
27 Points
7 years ago

Intensity is Average power transmitted across unit crossectional Area...

I = PA (ds/dt) /A       ..........work done

s = s0 sin w(t - x/v)

p = p0 cos w(t - x/v)

put the value of P & s in the above equation and take average in one cycle you will get

 

 

Amar Kumar

Askiitians Faculty

m.Tech IIT Delhi

 

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