Lecture 18_rev2

# Lecture 18_rev2 - Lecture 18 Series RLC Some intuition Step...

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

Lecture 18 Series RLC Some intuition Step responses

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

View Full Document
Series RLC circuit • K VL gives us a 2 nd order differential equation – Can reformulate in a general form – Just like before, but with different alpha (same ω o ) • Note: α looks like -1/(2 τ ) – For parallel, α =1/(2RC) – like τ for RC circuit – For series, α =R/(2L) – like τ for LR circuit LC L R I dt dI dt I d LC I dt dI L R dt I d IR dt C I dt dI L t 1 , 2 2 0 0 0 2 0 2 2 2 2 0 = = + + = + + = + + = ϖ α + V R - - V L + L C R V C + -
Intuition, part 1: sketching solns • Over damped: 2 exponentials – Can say fast one decays to slow one. – 2 nd -order: only two curvatures (only one inflection point) • Under damped: – Period is 2 π / ω d – Envelope decays as exp(- α t) -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 0 1 2 3 4 5 tau1 tau2 tot -1.5 -1 -0.5 0 0.5 1 1.5 0 1 2 3 4 5 Period, T= 2 π / ω d

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

View Full Document
Intuition, part 2: cheesy water analogies Resistor constricted pipe Capacitor tank Inductor propeller with flywheel RLC
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 11/21/2011 for the course ECE 2100 taught by Professor Kelley/seyler during the Spring '05 term at Cornell University (Engineering School).

### Page1 / 7

Lecture 18_rev2 - Lecture 18 Series RLC Some intuition Step...

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

View Full Document
Ask a homework question - tutors are online