2-21. Consider a capacitor C and an inductor L connected in parallel, as shown in Fig. P2.21. The total reactance X in ohms is given by X = - , where w is the 1-o? LC angular frequency in rad/s. (a) Suppose L= 1,0 mH and C =1 E If the total reactance is X = 1.0 2, show that the angular frequency w satisfies the quadratic equation o? + w - 1000 = 0. (b) Solve the quadratic equation for w by the methods of completing the square and the quadratic formula. C Figure P2.21 Parallel connection of L and C.

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