- #1

H_man

- 145

- 0

1/[1 + 2i (w - w

_{a})/g] = 1 / (1 + i delta)

where w and w

_{a}are the induced and resonance response frequencies and g the damping constant.

And delta = 2 (w - w

_{a})/g

Up to this point there is no problem. But the book then states that the amplitude squared or power response has the form:

1/[1 + {2 (w - w

_{a})/g}

^{2}] = 1 / (1 + delta

^{2})

And here is the problem... if you square the first equations listed you don't get what they give as the power response. I think the answer should be:

1 / (1 + 2 i delta - delta

^{2})

Is there some assumption I am missing, its not just the imaginary term is missing the sign is wrong for the squared term??

Thanks for any help!