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ECEN ECEN ECEN ECEN 658: 658: 658: 658: Homework Homework Homework Homework Assignment Assignment Assignment Assignment Arunvenkatesh Alagappan 622006377 Problem #1: (a) Input impedance is infinite If the input is grounded the relationship between input and output noise can be represented as: Hz V S S S A S u u u out / 10 5 . 2 100 ) 5 ( 2 15 2 2 2 × = = = µ With generator resistance 100kΩ Hz A S k S k f R S kTR S A S i i s i s u out / 10 499 . 2 ) ) 100 ( 100 300 10 38 . 1 4 5 . 2 ( 100 ) 500 ( ) ) ( 4 ( 2 21 2 23 2 2 2 2 × = + × × × × + = + + = µ (b) Input impedance is 100kΩ If the input is grounded, the input voltage noise Su remains unchanged. Hz V S S S A S u u u out / 10 5 . 2 100 ) 5 ( 2 15 2 2 2 × = = = µ Now, with generator resistance 100kΩ Hz A S k S k f R R S R R R kTR S A S i i s in i s in in s u out / 10 999 . 9 ) ) 50 ( 50 300 10 38 . 1 4 5 . 2 ( 100 ) 500 ( ) ) || ( 4 ( 2 21 2 23 2 2 2 2 × = + × × × × + = + + + = µ

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ECENECENECENECEN 658:658:658:658: HomeworkHomeworkHomeworkHomework AssignmentAssignmentAssignmentAssignment Arunvenkatesh Alagappan622006377

Problem #1:

(a) Input impedance is infiniteIf the input is grounded the relationship between input and output noise can be represented as:

HzVSS

SAS

u

u

uout

/105.2100)5(

215

22

2

−×=⇒

=

=

µ

With generator resistance 100kΩ

HzASkSkf

RSkTRSAS

i

i

sisuout

/10499.2))100(1003001038.145.2(100)500(

))(4(

221

22322

22

×=⇒

+××××+=

++=

µ

(b) Input impedance is 100kΩIf the input is grounded, the input voltage noise Su remains unchanged.

HzVSS

SAS

u

u

uout

/105.2100)5(

215

22

2

−×=⇒

=

=

µ

Now, with generator resistance 100kΩ

HzASkSkf

RRSRR

RkTRSAS

i

i

sinisin

insuout

/10999.9))50(503001038.145.2(100)500(

))||(4(

221

22322

22

×=⇒

+××××+=

++

+=

µ