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At what frequency would a 6.0mH inductor and a 10uF capacitor have the same reactance? b) What would the reactance be? c) Show that this frequency would be the natural frequency of an oscillating circuit with the same L and C?

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The formula for inductive reactance is:

XL = 2pi *f *L

XL = 2 x 3.14 x frequency x inductance

The following formula is used to calculate capacitive reactance:

Xc = 1/[2pi *f*C]

Xc = 1/[2 x 3.14 x frequency x capacitance]

a) At what frequency would a 6.0mH inductor and a 10uF capacitor have the same reatance?

That is we have to find f when XL = ...

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