Lecture 23 preview april1

# Lecture 23 preview april1 - Lecture 23 The LCR AC circuit...

This preview shows pages 1–5. Sign up to view the full content.

Lecture 23 The LCR AC circuit Today: I, P, and resonance in driven LCR Thursday: EM Waves Chapter 32 Exam #3 (practice exam now on ctools)

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

View Full Document
Summary of the (R, C, and L) AC driven circuits V L =I m X L V C =I m X C V R =I m R ωt ω L X and C X L C ϖ = = 1 capacitive and inductive reactance in Ω Phasors
The AC driven series LCR circuit Stimulus ξ(t) = ξ m cos(ωt+ φ ) (you control ξ m and ω) Response From our Kirchhoff’s loop analysis of the simple R, L and C driven AC circuits: ξ(t) = V R (t) + V L (t) + V C (t) ( the current in each is identical) x C L R x V V V notation Phasor in ) ( ) ( : + + = ξ

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

View Full Document
Solution to LCR AC circuit Z X X R I X I X I R I m C L m m C m L m m m ξ = - + = - + = 2 2 2 2 ) ( ) ( ) ( V L =I m X L V C =I m X C =I m R ω L - C ) ( ) ( ) cos( ) ( 2 2 - + = = = impedance X X R Z t Z t i thus Z I C L m m m ϖ R C L R X X C L ϕ 1 ) tan( - = - = We are done! We know the circuit’s impedance Z to current flow and the relative phase angle φ between the driving EMF and the current.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 10

Lecture 23 preview april1 - Lecture 23 The LCR AC circuit...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online