Acapacitance c and an inductance l are operated at the same angular frequency.

a. at what angular frequency will they have the same reactance?

b. if l=5.00mh and c=3.50 μf, what is the numerical value of the angular frequency in part (a), and what is the reactance of each element?

a) ω = √(1/CL

b)7559.29 rad/s

   37.796 Ω

Explanation:

a) Reactance of capacitor (Xc) = 1/(Cω)

Reactance of Inductor (XL) = Lω

when both have the same ω and reactance

Lω = 1/Cω

ω² CL =1

ω = √(1/CL)

b) ω = √(1/CL)

        =

        = 7559.29 rad/s

Reactance of capacitor (Xc) =Reactance of Inductor (XL)

                                             = Lω

                                              = 37.796 Ω

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