Class Notes Industrial Lec02

Telephone : PABX : 9661920-73/4980

DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]

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October 22, 2008 Dated, the………………………….

Ref. No............................ S

D

7 8'

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R +

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Vs C

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V S = v R + vC 1 idt + vC (t = 0) C , )*%)* VS 1 = RI ( s ) + I (s) s Cs VS 1 = I ( s )[ s + ] R RC VS I (s) = 1 R( s + ) RC V i (t ) = S e −t / RC R , , + t 1 vC (t ) = idt C0 = iR +

(

.

1 VS (− RC )[e −t / RC − 1] C R = VS (1 − e −t / RC ) , + dvC (t ) VS −t / RC = e dt RC , dvC V = S dt t =0 RC ,

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Telephone : PABX : 9661920-73/4980

DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]

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October 22, 2008 Dated, the………………………….

Ref. No............................

S

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VS = v L + v R =L

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VS = L[ sI ( s ) − I (0)] + RI ( s) s VS R = sI ( s)( s + ) L L VS 1 I ( s) = R L s(s + ) L V 1 R/L = S R L R/L s(s + ) L VS i (t ) = (1 − e −t /( L / R ) ) R + di v L (t ) = L = VS e −t /( L / R ) dt

.

+ di VS −t /( L / R ) = e dt L

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di dt /' #!

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t =0

V = S L ,

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Telephone : PABX : 9661920-73/4980

DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]

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October 22, 2008 Dated, the………………………….

Ref. No............................

S

D

,

L +

Vs C

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t1 = π LC

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di 1 VS = L + idt + vC (t = 0) dt C )*%)* , )*%)* VS 1 = L[ sI ( s ) − I (0)] + I (s) s Cs VS 1 = I ( s )[ s 2 + ] L LC VS I (s) = 1 L[ s 2 + ] LC 1 VS LC LC = 2 L 1 2 s + LC

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C sin ωt L = I P sin ωt

i (t ) = VS 1

ω= .

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I P = VS

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LC ,

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vC (t ) =

,

C # L +

t

1 idt C0

1 C VS LC [− cos ωt + 1] C L = VS (1 − cos ωt )

=

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Telephone : PABX : 9661920-73/4980

DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]

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October 22, 2008 Dated, the………………………….

Ref. No............................

.

$ di dt

= VS

C

1

L

LC

.

cos ωt =

VS L

cos ωt

+

di dt

t =0

V = S L

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Telephone : PABX : 9661920-73/4980

DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]

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October 22, 2008 Dated, the………………………….

Ref. No............................

S

D

R

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3 & #! ' $ , )* @7 di 1 L + Ri + idt + vC (t = 0) = VS dt C )*%)* , )*%)* 2 d i R di i + + =0 2 L dt LC dt " + R 1 s2 + s + =0 L LC , $ +

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.

.

s1, 2 = −

R ± 2L

R 2L

2

+ R α= ) " 2L 1 ω0 = ) LC

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1 LC

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s1, 2 = −α ± α 2 − ω 02

1 .

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$ "+ i (t ) = ( A1 + A2 t )e s1t ACB

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Telephone : PABX : 9661920-73/4980

DEPT. OF APPLIED PHYSICS, ELETRONICS & COMMUNICATION ENGINEERING UNIVERSITY OF DHAKA DHAKA-1000, BANGLADESH FAX: 880-2-8615583 E-MAIL: [email protected]

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October 22, 2008 Dated, the………………………….

Ref. No............................

s1, 2 = −α ± jω r

ω r = ω 02 − α 2 ) " .

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