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3-Lesson_Notes_Lecture15_ee205 - Lecture 15 The analysis of...

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Lecture 15 The analysis of the RLC series resonant circuit is continued. This lecture covers: The dependence of impedance and current on frequency Concepts of band frequency, cut-off frequency and half power frequency Expressions for band frequencies Relationship of quality factor with bandwidth Expressions for selectivity Total impedance (Z T ) versus frequency C R L E s I Z T Fig. 15-1: Series resonant circuit We have seen that the total impedance of a series RLC circuit at any frequency is, T L L C Z R JX JX = + The magnitude and phase angle of impedance as a function of frequency can be written as, 2 2 ( ) [ ( )] [ ( ) ( )] T L C Z f R f X f X f = +
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Here, Z T (f) means the total impedance as a function of frequency. The changes of the various terms R, X L , X C , total X, Z T as a function of frequency are shown in the following figures. f 0 R(f) R Fig. 15-2(a) R as function of frequency We know the resistance of a circuit does not change with frequency
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