21
$2± $PSOLILFDWRU ¾ 8WLOL]DUHDFDDPSOLILFDWRU ¾ Y 2 Ý9 2/ 9 2+ ¾ HVWHQHFHVDUFDY ' $VWIHORQHGHWHUPLQDUH Y 2 DÂY ' Â ¾ Y ' SRDWHILLQXWODSULQFRQHFWDUHDXQRULPSHGDQWH vQ H[WHULRUXO$2vQWURFRQILJXUDLHFXUHDFLHQHJDWLY $FHVWHLPSHGDQWH vPSUHXQFX$2PHQLQY ' OD]HURúL VWDELOHVFYDORDUHDWHQVLXQLLGHLHúLUH DPSOLILFDWRDUH FX$2 v O =a·v D =\·v D

08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

  • Upload
    others

  • View
    1

  • Download
    0

Embed Size (px)

Citation preview

Page 1: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

���$2�± $PSOLILFDWRU

¾ 8WLOL]DUHD�FD�DPSOLILFDWRU¾ Y2Ý�92/ ��92+�¾ HVWH�QHFHVDU�FD��Y' ���$VWIHO��R�QHGHWHUPLQDUH������Y2 DÂY' �Â�¾ Y' SRDWH�IL� LQXW��OD���SULQ�FRQHFWDUHD�XQRU�LPSHGDQWH vQ�H[WHULRUXO�$2�vQWU�R�FRQILJXUD LH�FX�UHDF LH�QHJDWLY���$FHVWH�LPSHGDQWH vPSUHXQ��FX�$2�PHQ LQ�Y' OD�]HUR�úL�VWDELOHVF�YDORDUHD�WHQVLXQLL�GH�LHúLUH ⇒ DPSOLILFDWRDUH�FX�$2

vO=a·vD=�·vD

Page 2: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

$2�FX�UHDFWLH QHJDWLYD � DPSOLILFDWRU

&H SRVLELOLWDWL DYHP SHQWUX FRQHFWDUHDLQWUDULORU "51��PHQWLQH DXWRPDW�Y' OD�]HUR

Page 3: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

$PSOLILFDWRU�QHLQYHUVRU

OvRR

Rv

21

1

+=−

0

21

1 =+

−=−= −+OID v

RR

Rvvvv

OI vRR

Rv

21

1

+=

1

21

R

R

v

vA

I

Ov +==

Page 4: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

� $OWD�PHWRGD GH�D�GHWHUPLQD DPSOLILFDUHD

¾ DPSOLILFDUHD�HVWH�GDW��GRDU�GH�UDSRUWXO�D�GRX��UH]LVWHQ H¾ YDORDUH�SUHFLV��D�DPSOLILF�ULL�¾ DPSOLILFDUHD�HVWH�LQGHSHQGHQW��GH�$2��QHILLQG�LQIOXHQ DW��GH�GLVSHUVLD�WHKQRORJLF��D�YDORULORU�SDUDPHWULORU�$2��¾ FRQVHFLQ ��GLUHFW��D�IRORVLULL�51�vQ�FD]XO�XQXL�DPSOLILFDWRU�FX�DPSOLILFDUH�SURSULH�IRDUWH�PDUH���D�→ ∞ LQ�FD]XO $2�

0=Dv

Ivv =+ Ivv =−

• DFHODúL�FXUHQW�SULQ�5� úL�5�1

21

R

R

v

vA

I

Ov +==

Page 5: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

5H]LVWHQWHOH GH�LQWUDUH VL GH�LHVLUH� VH�GHWHUPLQD SH PRGHOXO HFKLYDOHQW

Y, YHGH�vQWUHUXSHUH��GHFL 5L� �R�∞∞0=

∞== gol

sc

gol O

O

O

o

v

i

vR

Page 6: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

([HPSOLILFDUH�$Y ��0RGHOXO�HFKLYDOHQW�DO�DPSOLI�

�Y2�W��SHQWUX�Y,�W��WULXQJKLXODUD�FX�DPSOLWXGXQHD����9��D[DWD�SH�]HUR

�Y2�W��SHQWUX�Y,�W��WULXQJKLXODUD�FX�DPSOLWXGLQHD��9�D[DWD�SH����9

�&679

Page 7: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

5HJODUHD DPSOLILFDULL

¾ 51�WRWDO�¾ QX�H[LVW��DPSOLILFDUH�vQ�WHQVLXQH¾ DPSOLILFDUH�LQILQLW��vQ�FXUHQW��¾ HWDM�WDPSRQ�SHQWUX�D�FRQHFWD�R�VXUV����VDX�LHúLUHD�XQXL�FLUFXLW�HOHFWURQLF��FX�UH]LVWHQ D�GH�LHúLUH�PDUH��SRDWH�GHELWD�FXUHQW�UHGXV��FX�R�UH]LVWHQW��GH�VDUFLQ��VF�]XW���FDUH�VROLFLW��FXUHQW�PDUH��

�5HSHWRU GH�WHQVLXQH

&H VH�REWLQH SHQWUX YDORUL H[WUHPH����VDX ∞��DOH�UH]LVWHQWHORUSHQWUX DPSOLILFDWRUXO LQYHUVRU "1

21

R

PRA

maxv

++=

PR

RA

minv ++=

1

21

Page 8: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

$PSOLILFDWRU�LQYHUVRU

1

2

R

R

v

vA

I

O

v−==

Page 9: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

�$OWHUQDWLY��SHQWUX�vQ HOHJHUHD�IXQF LRQ�ULL�FLUFXLWXOXL

−+ = vv

0=+v

0=−v

2

2

0

R

vi O−

=21

ii =

1

1

0

R

vi I −

=21

R

v

R

v OI −=1

2

R

R

v

vA

I

Ov −==

PDVD�YLUWXDOD

Page 10: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

5H]LVWHQ HOH�GH�LQWUDUH�úL�LHúLUH

¾ ÌQ�FRPSDUD LH�FX�DPSOLILFDWRUXO�QHLQYHUVRU�OD�FDUH5L→∞ SHQWUX�DPSOLILFDWRUXO�LQYHUVRU�DYHP�R�UH]LVWHQ ��PDL�PLF��GH�LQWUDUH�¾ 8]XDO�DFHDVWD�HVWH�GH�RUGLQXO�.��]HFL�GH�.��¾ 'DF��vQWU�R�DSOLFD LH�VH�VROLFLW��R�UH]LVWHQ ��PDUH�GH�LQWUDUH�YRP�IRORVL�FRQH[LXQHD�QHLQYHUVRDUH�

?Ri =1

RRi =?Ro =0=oR

Page 11: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

([HPSOLILFDUH 5� ��.��5� ���.DOLPHQWDUH ±��9

9 5L��5R��$Y9 0RGHOXO HFKLYDOHQW9 'RPHQLXO YL���D�L��$2�DPSOLILFDWRU

Page 12: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

([HPSOX GH�SURLHFWDUH

3URLHFWD L�XQ�DPSOLILFDWRU�LQYHUVRU�FDUH�V��DLE��5L!�.�FXDPSOLILFDUHD�_$Y_ UHJODELO��vQ�GRPHQLXO >�����@10

1

2

min==

R

RAv

18

1

2

max=

+=

R

PRAv

1210RR =

1218RPR =+

Page 13: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

$PSOLILFDWRDUH FX�FXSODM FDSDFLWLY

Al

Al

5.1K

51K

�Y,�W�� 9,�YL�W�GRULP VD DPSOLILFDP GRDU YL�W�

� FXP�DPSOLILFDP YL�W��GDFD$2�HVWH DOLPHQWDW XQLSRODU "

Page 14: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

6ROXWLH��WUDQVODWDUHDFDUDFWHULVWLFLL

obtinerea

tensiunii de

polarizare

VAl

echivalenta in

regim

permanent

VPOL

Page 15: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

¾ DPSOLILFDUH SUHD PDUH�LQ�FF¾ FXP�VH�SRDWH IDFH�XQLWDUD"

)R

R(V)

R

R(v)

R

R)(Vv(v POLiPOLiO

1

2

1

2

1

2111 +++=++=

Page 16: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

VAl

vi

5.1K 51K

10K

10K

POLiO

POLPOLiO

V)R

R(vv

R

RV)

R

R)(Vv(v

++=

−++=

1

2

1

2

1

2

1

1

FLUFXLWXO�HFKLYDOHQW�LQ�UHJLP�SHUPDQHQW

FLUFXLWXO�FRPSOHW

Page 17: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

$PSOLILFDUH VL UH]LVWHQWD PDUH�GH�LQWUDUH

1RRi =

1

2

R

RAv =

⋅+

++

−==31

2221

1

2221

RR

RR

R

RR

v

vA

I

Ov

1020101

1010

1

1010−=

⋅⋅

++

−=,

Av

⋅⋅

+−≅=31

2221

1

21

RR

RR

R

R

v

vA

I

Ov 1010−≅vA

Page 18: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

6XPDWRUXO LQYHUVRU

+−=

2

2

1

1

IIO vR

Rv

R

Rv

RRR 221

== PHGLD�DULWPHWLF� D�WHQVLXQLORU�GH�LQWUDUH

Page 19: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

$PSOLILFDWRUXOGLIHUHQWLDO

1

1

2

43

4

11 IO v

R

R

RR

Rv

+

+= 2

1

2

2 IO vR

Rv −=

2

1

2

1

1

2

43

4

211 IIOOO v

R

Rv

R

R

RR

Rvvv −

+

+=+=

$SOLFDP�VXSUDSXQHUHD�HIHFWHORU

Page 20: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

1

2

1

2

43

41

R

R

R

R

RR

R=

+

+

4

3

2

1

R

R

R

R= ( )

21

1

2

IIO vvR

Rv −=

SHQWUX Y,� Y,� VH�RE LQH Y2 ��FLUFXLWXO DPSOLILF� GRDU GLIHUHQ D WHQVLXQLORU úLUHMHFWHD]� VHPQDOHOH GH�PRG�FRPXQ�LQ�FD]XULOH SUDFWLFH�VH�SXQH 5� 5� úL 5� 5�

Page 21: 08 AO amplificator - bel.utcluj.ro · ˆ 5hjoduhd dpsolilfdull ¾ 51wrwdo ¾ qxh[lvw dpsolilfduhvqwhqvlxqh ¾ dpsolilfduhlqilqlw vqfxuhqw ¾ hwdmwdpsrqshqwuxdfrqhfwdr vxuv vdxlhúluhdxqxlflufxlw

��

$PSOLILFDWRU GH�LQVWUXPHQWDWLH VWDQGDUG¾ UH]LVWHQ � PDUH�GH�LQWUDUH¾ UHMHF LH FkW PDL EXQ� D�VHPQDOXOXL GH�PRG�FRPXQ

$2��úL�$2��UH]LVWHQ D�GH�LQWUDUH�PDUHDVLJXU� DPSOLILFDUHD��$2��DPSOLILFDUHD�XQLWDU�WUHFHUHD�GH�OD�GRX� WHQVLXQL�Y2� úL Y2� OD�R�VLQJXU�WHQVLXQH�Y2��UHMHF LH�VXSOLPHQWDU� D�WHQVLXQLL�GH�PRG�FRPXQ

( )21

1

22

1 IIO vvR

Rv −

+=