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# Circuits and Resonance

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1. An inductor and capacitor are used to make a resonant circuit.The inductor has a winding resistance that is relatively small compared with its reactance. Explain why a series connection and a parallel connection of the inductor and capacitor produce slightly different resonant frequencies in some detail.

2. A 50nF capacitor and a 100mH inductor with 25&#8486; winding resistance are used to form a resonant circuit.

a. What is the approx resonant frequency.
b. Compared with true resonance, how do the operating conditions in a parallel-connected circuit vary when the reactances of the inductor and capacitor are equal.
c. How do the series and parallel Q values change as the inductors winding resistance increases.

3. State the operating condition that occurs when an LC circuit is at resonance

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1. An inductor and capacitor are used to make a resonant circuit. The inductor has a winding resistance that is relatively small compared with its reactance. Explain why a series connection and a parallel connection of the inductor and capacitor produce slightly different resonant frequencies in some detail.