Class 2: Circuit Analysis Techniques Activity 2 KCL, KVL, Series - - PowerPoint PPT Presentation

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Class 2: Circuit Analysis Techniques Activity 2 KCL, KVL, Series - - PowerPoint PPT Presentation

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Class 2: Circuit Analysis Techniques Activity 2 KCL, KVL, Series and Parallel Resistors Dr. Mahmood A. Hameed ECSE Department Rensselaer Polytechnic Institute Intro to ECSE Model of a Car Battery Lights ON and Engine OFF SWITCH open

slide-1
SLIDE 1

Class 2: Circuit Analysis Techniques

Activity 2 – KCL, KVL, Series and Parallel Resistors

  • Dr. Mahmood A. Hameed

ECSE Department Rensselaer Polytechnic Institute

Intro to ECSE

slide-2
SLIDE 2
  • M. Hameed

2 September 2020

Model of a Car Battery Lights ON and Engine OFF

SWITCH wire
  • pen

wire

Battery

+

headlight

12 V

I

}

  • f
car
  • Resistor

voltage

/ /

Sr

source

1-

8
  • hms

wire

slide-3
SLIDE 3
  • M. Hameed

2 September 2020

Ohm’s Law

V

  • i R

voltage

across

an

element is

directly

proportional

to the

current

through

.

u

x

i

R

UN)

i

v

=

  • e. R

a-Mr-0

A

r
  • '

t

O

  • r
'

i

n .

R

.#

i

ca)

y

  • _ mxtc
. . .

D= mi to

  • i
  • .
. '

v

= mi

. . ' '
slide-4
SLIDE 4
  • M. Hameed

2 September 2020

What is so cool about resistors?

Resistors

can

model

various

physical

quantities

.

Force

Sensitive

Resistor

( FSR )

  • strain garages

Light dependent

Resistor

( LDR)

Thermistor

( Temperature )

Flashlight

bulb

,

speaker

,

headlight

  • f

car

,

fan

appliances

.
slide-5
SLIDE 5
  • M. Hameed

Resistors are passive linear elements They can only absorb power Power relationships:

2 September 2020

What about power absorbed by resistors

P

=

  • v. i

watts ( w)

V

  • i R

z

=

Vi

  • I

R

R

=

i ? R

slide-6
SLIDE 6
  • M. Hameed

2 September 2020

Kirchoff’s Current Law (KCL)

Conservation

  • f

Charge

  • i. titis

a:*

.

  • ist "
slide-7
SLIDE 7
  • M. Hameed

2 September 2020

Kirchoff’s Voltage Law (KVL)

Algebraic

sum

  • f

voltages

in

a

loop

equal €

"

¥7j÷÷

.

"

'
  • a. tours
slide-8
SLIDE 8
  • M. Hameed

2 September 2020

Resistors in Series

A

R , R2

Rs

RN B

O-MMM

  • Mro

which

electrical

Raps

=

Rit Rz + Rst

.
  • + RN

quality

is

the

same

N

for

all

resistors

= E Ri

here ?

i=I

CURRENT

slide-9
SLIDE 9
  • M. Hameed

2 September 2020

Resistors in Parallel

OA

¥

= Rt

,

+ #

t # t

  • * ÷

R ,}

Rz} {

Rs

" " {

RN

I

=

¥y ÷

RAB

  • ps

⇒

RAB

= (÷¥

②

③

¥72,2

, RIKKI

VOLTAGES

same

R , Rat R

, Rst 122123

currents

depends

  • n R
.
slide-10
SLIDE 10
  • M. Hameed

2 September 2020

Example 1: Circuit Analysis

Find current through R2 and R3

in

an

= 8 V

en

.

+ ÷ .

'

'

in

."÷÷:÷÷: '÷::÷i

Yz¥w¥}

RAB

= Zr = ¥

A

↳ B

  • i. I
= III =

2A

  • ars
  • w

÷3÷±¥=÷=z

slide-11
SLIDE 11
  • M. Hameed

2 September 2020

Example 2: Circuit Analysis

Find current through R1

Switch

  • pen

switch

closed

→

in,

I

*

r

:÷÷÷÷÷÷::÷÷÷.

Vez

=

  • d. Rz

series

  • through

switch

.

= t2

x Rz

R , -1122

slide-12
SLIDE 12
  • M. Hameed

Go to the class website Look under class 2 Find activity 2 Do the activity

Individual submission for activity 2 Encouraged to discuss with others in the class on WebEx Teams

Answer the activity using template (attached class 2) When complete – upload to Gradescope

Due Thursday, September 10th at 11:59 pm Use guides to learn how to upload documents

2 September 2020

Activity 2: KCL, KVL, Series and Parallel Resistors