I have a Fourier transfer equation $H(jw) = \frac{jwL}{(jw)^2LC+jw\frac{L}{R}+1}$, and I need to find frequency to make $|H(jw)|$ is max. I know I should take the derivative of $|H(jw)|$ then find the max $w_0$. But my question now is how to find the absolute value of this function. \ Thanks
2026-04-04 06:58:55.1775285935
how to find absolute value for complex fraction
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I assume that all the constants are $\gt 0$. The denominator of your fraction is
$$1-\omega^2 L C + j \omega \frac{L}{R}$$
so the magnitude of the fraction is
$$\frac{\omega L}{\sqrt{(1-\omega^2 L C)^2 + \omega^2 L^2/R^2}}$$