{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

3-Lesson_Notes_Lecture15_ee205

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

This preview shows pages 1–6. Sign up to view the full content.

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 = +

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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