# 215+Ch8 - 8. AC POWER CIRCUITS by Ulaby &amp; Maharbiz...

This preview shows pages 1–9. Sign up to view the full content.

8. AC POWER CIRCUITS by Ulaby & Maharbiz

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

View Full Document
Linear Circuits at ac Instantaneous power Average power ) ( ) ( ) ( t i t t p υ = Power at any instant of time Average of instantaneous power over one period = T dt t p T P 0 ) ( 1 b Power delivery (utilities) b Electronics (laptops, mobile phones, etc.) b Logic circuits Power is critical for many reasons: Note: Power is not a linear function, cannot apply superposition
Instantaneous Power for Sinusoids Power depends on phases of voltage and current ( ) ( ) ( ) ( ) i i t t I V t p t i t t p t I t i t V t θ ω υ + + = = + = + = cos cos ) ( ) ( ) ( ) ( cos ) ( cos ) ( m m m m Trig. Identity:

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

View Full Document
Average Value Sine wave
Average Value Truncated sawtooth

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

View Full Document
Important Relation These properties hold true for positive integer values of n and any values of φ 1 and φ 2
Average Value for

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

View Full Document
Effective or RMS Value Equivalent Value That Delivers Same Average Power to Resistor as in dc case For current given by Effective value is the (square)
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 01/19/2012 for the course EECS 215 taught by Professor Phillips during the Fall '08 term at University of Michigan.

### Page1 / 45

215+Ch8 - 8. AC POWER CIRCUITS by Ulaby &amp; Maharbiz...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online