# Problem: a)Compute the reactance of a 0.450 H inductor at frequencies of 60.0 Hz and 600 Hzb)Compute the reactance of a 2.50 uF capacitor at the same frequencies.c)At what frequency is the reactance of a 0.450 H inductor equal to that of a 2.50 uF capacitor?

###### FREE Expert Solution

The reactance of an inductor is:

$\overline{){{\mathbf{X}}}_{{\mathbf{L}}}{\mathbf{=}}{\mathbf{\omega L}}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi fL}}}$

The reactance of a capacitor:

$\overline{){{\mathbf{X}}}_{{\mathbf{C}}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}\mathbf{\pi }\mathbf{f}\mathbf{·}\mathbf{C}}}$

###### Problem Details

a)Compute the reactance of a 0.450 H inductor at frequencies of 60.0 Hz and 600 Hz
b)Compute the reactance of a 2.50 uF capacitor at the same frequencies.
c)At what frequency is the reactance of a 0.450 H inductor equal to that of a 2.50 uF capacitor?