Day 1RosterMeeting Time/Room KEC 117 AXFAB 107

9:10 – 10:10 12:40 – 13:4010:20 – 11:201:50 – 2:50

SyllabusOffice HoursMotherhood & Apple PieIntegrity Standards, Consequences for ViolationGrading StandardsSigned AcknowledgementScheduleHomework StandardCover Sheet

Pre-requisite Knowledge

Review Summary

( ) ( ) ( )p t v t i t

0

0

( )t T

T

t

E p t dt

Subject to Passive Sign Convention:Positive power is power absorbed,Negative power is power provided.

+ i(t)

v(t)

-

Energy Delivered/Absorbed in a time interval T:

0

0

12

21( )

t T

RMS

t

I i t dtT

0 0

0 0

,

1 1( ) ( ) ( )

t T t T

TAV T

t t

EP p t dt v t i t dt

T T T

If ( ) is forced through a resistive device, then ( ) ( )i t v t i t R

0 0 0

0 0 0

2 2,

1 1 1( ) ( ) ( ) ( )

t T t T t T

AV T

t t t

P i t R i t dt Ri t dt R i t dtT T T

2,AV T RMSP I RThen:

Define:A currrent (voltage) waveform of any complexity can be represented by a single number, its RMS or “effective value” for purposes of power computation.

Parseval’s TheoremIf vc(t) = va(t) + vb(t) then

Vc(rms)2 = Va(rms)2 + Vb(rms)2

Provided va(t) and vb(t) are “orthogonal” over the time interval of interest : . . .

2

1

( ) ( ) 0t

a b

t

v t v t dt

1 2t t