The reactance of an inductor:

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

The reactance of a capacitor:

$\overline{){{\mathbf{X}}}_{{\mathbf{C}}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{\omega}\mathbf{C}}}$

**(A)**

X_{L} = X_{C}

ωL = 1/ωC

ω^{2}LC = 1

A capacitance C and an inductance L are operated at the same angular frequency.

Part A

At what angular frequency will they have the same reactance?

Part B

If L = 5.50 mH and C = 3.70 mu F, what is the numerical value of the angular frequency in part A?

Part C

What is the reactance of each element?

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