ECE201_Lecture19

ECE201_Lecture19 - 1 EE201 Linear Circuit Analysis I...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 EE201 Linear Circuit Analysis I Lecture 19 Topic: First-order circuits: Step response Review (1) general dx ( t ) dt = x ( t ) + f ( t ) x ( t o ) = x o x ( t ) = e ( t t o ) x o + t o t f ( ) e ( t ) d (2) zero-input/source-free x ( t ) = e ( t t o ) x i L ( t ) = e R L ( t t o ) i L ( t o ) v c ( t ) = e t t o RC v c ( t o ) 1. RL circuits with constant input (1) Circuit Equation KVL & Ohms Law: v L ( t ) = V s Ri L ( t ) Inductor: v L ( t ) = L di L ( t ) dt L di L ( t ) dt = V s Ri L ( t ) di L ( t ) dt = R L i L ( t ) + V s L Initial condition: i L ( t o ) +- V s R L i L (t) + v L (t) 2 (2) Response i L (t) for t t o . i L ( t ) = e R L ( t t o ) i L ( t o ) + t o t V s L e R L ( t ) d = e R L ( t t o ) i L ( t o ) + V s L e R L t L R e R L t t o = e R L ( t t o ) i L ( t o ) + V s R 1 e R L ( t...
View Full Document

Page1 / 8

ECE201_Lecture19 - 1 EE201 Linear Circuit Analysis I...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online