Eletronica 2 BOA, Notas de estudo de Eletrônica

Baixe Eletronica 2 BOA e outras Notas de estudo em PDF para Eletrônica, somente na Docsity! ELETRÔNICA LINEAR Il COLÉGIO DO INSTITUTO BATISTA AMERICANO PROF. ABIMAILTON PRATTI DA SILVA Rua Mariana N.º 70 Retiro Volta Redonda — Telefone: (24) 33381279 &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  62/,&,7$d®2 1mR WHPRV GLUHLWR DXWRUDO UHVHUYDGR SDUD R SUHVHQWH WUDEDOKR3RUWDQWRHPFDVRGHXWLOL]DomRGHTXDOTXHUSDUWH GHVWDDSRVWLODRTXHVROLFLWDPRVpDGLYXOJDomRGHVWDFRPR IRQWH (QJR $ELPDLOWRQ3UDWWLGD6LOYD /'05#)'/ 1EQPJGEKOGPVQoQECOKPJQSWGPQUNKDGTVCFC GUETCXKFlQFCKIPQTjPEKC 2CVTsEKC/QPVKPG &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,   JP JIV±75$16&21'87Æ1&,$'(75$16)(5Ç1&,$',5(7$(0)217( &2080   UGV RQ ±5(6,67Ç1&,$'5(12)217(3$5$2',6326,7,92/,*$'2  32/$5,=$d­2'275$16,6725'(()(,72'(&$032 )(7    32/$5,=$d­2),;$'$   $87232/$5,=$d­2   32/$5,=$d­2325',9,625'(7(16­2   026)(7 6(0,&21'8725)(7'(Ï;,'20(7$/È/,&2    02'27,32'(3/(d­2  02'27,32,17(16,),&$d­2 (15,48(&,0(172    6,0%2/2*,$'2026)(7'2026)(77,32'(3/(d­2   &859$6'('5(12   &859$'(75$16&21'87Æ1&,$   026)(7'27,32,17(16,),&$d­2   7(16­2'(/,0,$5   &859$6'('5(12   &859$'(75$16&21'87Æ1&,$   6,0%2/2*,$'2026)(77,32,17(16,),&$d­2   $3/,&$d®(6'2026)(7   026)(7&202&+$9(  $3Ç1',&(,'(17,),&$d­2'(7(50,1$,6(7(67('(75$16,6725(6 &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  ,1752'8d­2 7RGR R GHVHQYROYLPHQWR DOFDQoDGR SHOR KRPHP QR VpFXOR ;; WHP XPD tQWLPDUHODomRFRPRGHVHQYROYLPHQWRGRVGLVSRVLWLYRVHOHWU{QLFRV+RMHTXDOTXHU IDWRRFRUULGRHPDOJXPFDQWRGRPXQGRSRGHVHUQRWLFLDGRQRPHVPRLQVWDQWHSDUD WRGR R SODQHWD 3RGHPRV DVVLVWLU DR YLYR MRJRV GH IXWHERO VKRZV GH P~VLFD FRQYHUVDUFRPSDUHQWHVHDPLJRVGLVWDQWHV 2 ODGR QHJDWLYR GHVVHV UHFXUVRV WHFQROyJLFRV VmR DV JXHUUDV TXH HVWmR HVFRUDGDVHPDSDUDWRVHOHWU{QLFRV &DGD YH] PDLV DV PiTXLQDV SRGHP VHU FRQWURODGDV RX SURJUDPDGDV SDUD VXEVWLWXLURKRPHPQRVHXWUDEDOKR1D LQG~VWULDHQRFRPpUFLRGDPRVRQRPHD HVWHSURFHVVRGHDXWRPDomRRTXHWHPDFDEDGRFRPPXLWRVSRVWRVGHWUDEDOKR JHUDQGR PXLWR GHVHPSUHJR 6H D WHFQRORJLD WHP HVWH DVSHFWR QHJDWLYR ID]VH QHFHVViULR TXH D KXPDQLGDGH WHQKD XPD SUHVHQoD FUtWLFD D IUHQWH GHVVH GHVHQYROYLPHQWR 1mR EDVWD ILFDU ROKDQGR DV SRVVLELOLGDGHV WHFQROyJLFDV p LPSRUWDQWHSHUFHEHUTXHWRGRHVWHSURFHVVRGHYHVHUKXPDQL]DGR 0DVQmR VH WHP VyR ODGRQHJDWLYR D  HOHWU{QLFDGHYH GH IDWR VXEVWLWXLU R KRPHP QRV ORFDLV GH ULVFRV H SHULJRVRV GHYH OLEHUDU R KRPHP GRV WUDEDOKRV GLItFHLV H UHSHWLWLYRV D HOHWU{QLFD SRGH DLQGD 6DOYDU YLGDV  GLDJQRVWLFDQGR GRHQoDV GHVHQYROYHU PpWRGRV GH FXUD QD HGXFDomR H  FXOWXUD FRQWULEXLU FRP HQJUDQGHFLPHQWRGRKRPHPHQROD]HUWRQDUDVSHVVRDVPDLVIHOL]HV $RDPSOLDUVHXXQLYHUVRFXOWXUDOHDFDSDFLGDGHGHYHURRXWURKRPHP D HOHWU{QLFDSRGHVHUXPJUDQGHLQVWUXPHQWRQDEXVFDGDFRPSUHHQVmRGDSD]HGD IUDWHUQLGDGH3RUWDQWRWHUGRPtQLRGDWpFQLFDLPSOLFDHPVDEHUXVDODHPEHQHItFLR GHWRGRV &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,   $3/,&$d­2'275$16,6725&202&+$9( 8P WUDQVLVWRU FRPXP TXDQGR VDWXUDGR DSUHVHQWD XP9&(VDW GH DSUR[LPDGDPHQWH 9HXPGHWHUPLQDGRYDORUPtQLPRGHE HQWUHH SDUDJDUDQWLUDVDWXUDomR$FRUUHQWH GHFROHWRUGHVDWXUDomR,FVDWGHSHQGHGRUHVLVWRUDFRSODGRDRFROHWRURXGDFRUUHQWHLPSRVWDSHOR SURMHWR 0$/+$'((175$'$ 0$/+$'(6$Ë'$ 9, 95%9%( 9&& 95&9&( 9, ,%5%9%( 95& 9&&9&( ,%5% 9,±9%( ,&5& 9&&9&( 5%  9,±9%( ,%VDW 5& 9&&±9&(VDW ,&VDW x 1RH[HPSORDVHJXLUGHVHMDPRVDFLRQDUR/('TXDQGRDFKDYH6HVWLYHUQDSRVLomR 21HGHVDFLRQDORTXDQGRHVWLYHUQDSRVLomR2)) &DUDFWHUtVWLFDVGRWUDQVLVWRU %& &DUDFWHUtVWLFDVGR/(' 9%( 9 9' 9 9&(VDW 9 ,' P$ E  ,&Pi[ P$ 9&(Pi[ 9 2VUHVLVWRUHVGHSRODUL]DomRGHYHUmRVHUFDOFXODGRVFRQVLGHUDQGRDUHJLmRGHVDWXUDomR LVWRpTXDQGRDFKDYHHVWLYHUQDSRVLomR21  &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  9( 9&& 9 9 5( 9(,( 9P$ .: 5&  9&&±9&(±9( ,&  9±9±9 P$ .: 2YDORUFRPHUFLDOXWLOL]DGRp.: ,% ,& E P$ P$ 5%  9&&±9%(±9( ,%  9±9±9 P$ 0:  352-(72'(80&,5&8,7232/$5,=$'2325',9,625'(7(16­2 &RPRUHJUDGHSURMHWRRYDORUGH9(pGH9&& 9( 9&& 5( 9(,( 3RVLFLRQDQGRRSRQWR4QRPHLRGDOLQKDGHFDUJDFRQVLGHUDPRVTXH9&( 9&&H RV9&&UHVWDQWHVDSDUHFHPHP5&SRUWDQWR 5& 5( 1HVWHSURMHWRSRGHPRVHVWDEHOHFHUGXDVFRQGLo}HVSDUDDSRODUL]DomR (67$%,/,=$'$5E 5(  ),50(5 E 5( (SRU~OWLPR 5  99 5 &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  x 1RH[HPSORDEDL[RGHWHUPLQDUHPRVRVYDORUHVGH5(5&5H5FRQVLGHUDQGRTXHR WUDQVLVWRUGHVLOtFLRXWLOL]DGRWHP EFF YDULDQGRGHDH DFRUUHQWH,&pLJXDOD P$ 9( 9&& 9 9 5( 9P$ : YDORUFRPHUFLDOXWLOL]DGRp: 5&    : YDORUFRPHUFLDOXWLOL]DGRp.: 3DUDXPGLYLVRUGHWHQVmRHVWDELOL]DGR WHPRV 5      : YDORUFRPHUFLDOXWLOL]DGRp: 2EVHUYHTXHXWLOL]DPRVRPHQRUYDORUGHE QDIyUPXODDFLPD 9 9% 9(9%( 99 9 9 9&&±9 9± 9 5  99 5  99 : :YDORUFRPHUFLDOXWLOL]DGRp. : 3DUDXPGLYLVRUGHWHQVmRILUPH WHPRV 5      : YDORUFRPHUFLDOXWLOL]DGRp.: 5  99 5  99 : :YDORUFRPHUFLDOXWLOL]DGRp. : &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,   $03/,),&$'25(6  &$3$&,725(6'($&23/$0(172('('(69,2 $QWHV GH LQLFLDUPRV DR HVWXGR GDV IRUPDV GH RQGD QRV DPSOLILFDGRUHV D WUDQVLVWRU IDUHPRVXPEUHYHHVWXGRGDDSOLFDomRGRVFDSDFLWRUHVQHVWHFLUFXLWRV 2  FDSDFLWRU  SDUD XP ³VLQDO FRQWtQXR´ VH FRPSRUWD FRPR XPD FKDYH DEHUWD QmR SHUPLWLQGR DSDVVDJHPGHFRUUHQWH 2  FDSDFLWRU  SDUD XP  VLQDO DOWHUQDGR VH FRPSRUWD FRPR XPD FKDYH IHFKDGD SHUPLWLQGR DSDVVDJHPGHFRUUHQWH 2VFDSDFLWRUHVSHUPLWHPDSDVVDJHPGRVLQDOFDHEORTXHLDPRVLQDOFF 2FDSDFLWRUGHDFRSODPHQWR pRTXHHVWDID]DSDVVDJHPGHXPVLQDOFDGHXPDIRQWHFD SDUDRDPSOLILFDGRUHGRDPSOLILFDGRUSDUDDFDUJD 2FDSDFLWRUGHGHVYLR pRTXH ID] DSDVVDJHPGHXPVLQDO FD GR DPSOLILFDGRU  SDUD R WHUUD &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  3DUDFDGDYDORUGHLF WHPRVXPYDORUGH9RXW 9FH 3DUDLF P$Ÿ 9RXW P$[.: 9 3DUDLF P$Ÿ 9RXW P$[.: 9 3DUDLF P$Ÿ 9RXW P$[.: 9 '$(48$d­2'$0$/+$'((175$'$7(026 9LQ P$[.: 9 9 9LQ P$[.: 9 9 9LQ P$[.: 9 9  *$1+2'(&255(17( $L $L ' ,RXW P$ P$  ' ,LQP$P$  *$1+2'(7(16­2 $Y $Y '9RXW 9  9  '9LQ99  *$1+2'(327Ç1&,$ $S $S $L$Y [  &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  5(6,67Ç1&,$'((175$'$ 5LQ 5LQ '9LQ 9 9 : ' ,LQ P$P$  $03/,),&$'25%$6(&2080 '$(48$d­2'$0$/+$'(6$Ë'$7(026 9&& 95&9&%Ÿ 9&% 9&&,&5&Ÿ9RXW 9FE 9&&±LF [5& &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  3DUDFDGDYDORUGHLF WHPRVXPYDORUGH9RXW 9FH 3DUDLF P$Ÿ 9RXW 9±P$[.: 9 3DUDLF P$Ÿ 9RXW 9±P$[.: 9 3DUDLF P$Ÿ 9RXW 9±P$[.: 9  *$1+2'(&255(17( $L $L ' ,RXW P$ P$ |  ' ,LQP$P$  *$1+2'(7(16­2 $Y $Y '9RXW 9  9  '9LQP9P9  *$1+2'(327Ç1&,$ $S $S $L$Y [ |  5(6,67Ç1&,$'((175$'$ 5LQ 5LQ '9LQ P9  P9 : ' ,LQ P$P$  &203$5$d­2(175(26&,5&8,726$03/,),&$'25(6 *$1+2'( &255(17( *$1+2'( 7(16­2 *$1+2'( 327Ç1&,$ 5(6,67Ç1&,$ '((175$'$ (0,6625 &2080    : &2/(725 &2080    : %$6( &2080    :  &21),*85$d­2'$5/,1*721 $ FRQILJXUDomR '$5/,1*721 p XPD IRUPD GH DFRSODPHQWR GLUHWR HQWUH GRLV WUDQVLVWRUHVPXLWRXWLOL]DGD8P~QLFRWUDQVLVWRUQRJHUDORIHUHFHXPEDL[RJDQKRGHFRUUHQWHH TXDQGRQHFHVVLWDPRVGHXPJDQKRHOHYDGRODQoDPRVPmRGHXPFLUFXLWRFRPDVFDUDFWHUtVWLFDV DSUHVHQWDGDVQDFRQILJXUDomR'$5/,1*721 &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,   $1È/,6('2&,5&8,725(*8/$'256e5,(  ,17(535(7$1'22&,5&8,72 9/ 9=±9%( 9=!!9%(ORJR9/|9=HFRPR9=pFRQVWDQWH9/ FRQVWDQWH &DVR9LQVHDOWHUHWHUHPRV 9LQ 959=Ÿ 95 9&%ORJR9LQ 9&%9=H9&( 9&%9%( 6H9LQDXPHQWDFRPR9= FRQVWDQWH9&%WDPEpPDXPHQWDUiSURYRFDQGRXPDXPHQWR HP9&(GHPRGRDVXSULUDYDULDomRGDHQWUDGDPDQWHQGR9/FRQVWDQWH 9/ 9LQ±9&(HVH9LQn DXPHQWD 9&(n DXPHQWD 9/ FRQVWDQWH 6H 9LQ GLPLQXLU FRPR 9=  FRQVWDQWH 9&% WDPEpP GLPLQXLUi  SURYRFDQGR XPD GLPLQXLomRGH9&(GHPRGRDVXSULUDYDULDomRGDHQWUDGDPDQWHQGR9/FRQVWDQWH 9/ 9LQ±9&(HVH9LQp GLPLQXL 9&(p GLPLQXL 9/ FRQVWDQWH  /,0,7$d®(612&,5&8,725(*8/$'256e5,( 7(16­20Ë1,0$'((175$'$ 9LQ 959=Ÿ 95 5,5 ,5 ,=,%ORJR9LQ 5 ,=,% 9= 9LQPtQ 9=5 ,=PtQ,%Pi[ 2EVHUYDPRVTXHDEDL[RGHVWHYDORUR]HQHUSHUGHUiVXDVFDUDFWHUtVWLFDVGHHVWDELOL]DomR 7(16­20È;,0$'((175$'$ 9LQ 5 ,=,% 9= 9LQPi[ 5 ,=Pi[,%PtQ 9=RQGH,=Pi[ 3=Pi[9= &DOFXODPRV HQWmR XP Pi[LPR YDORU SDUD ,/ TXH HVWDUi OLPLWDGR SRU ,=PtQ 3DUD SURMHWDUPRV XP UHJXODGRU VpULH GHYHPRV FRQVLGHUDU RV SDUkPHWURV ,/Pi[  9/ H 9LQ GHVHQYROYHQGRQRVVRSURMHWRFRQVLGHUDQGRDVSLRUHVFRQGLo}HVGHIXQFLRQDPHQWRGRFLUFXLWR &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  4XDQGRDWHQVmRGHHQWUDGDIRUPi[LPDWHUHPRVDVHJXLQWHFRQGLomR 9LQPi[ 5 ,=Pi[,%PtQ 9= , 1DSLRUFRQGLomR5/ f FLUFXLWRDEHUWR  ,%PtQ ? 9LQPi[ 5,=Pi[9= 4XDQGRDWHQVmRGHHQWUDGDIRUPtQLPDWHUHPRVDVHJXLQWHFRQGLomR 9LQPtQ 9=5 ,=PtQ,%Pi[  ,, 'DH[SUHVVmR , WLUDPRV ,=Pi[  9LQPi[±9= 5 ,,, 'DH[SUHVVmR ,, WLUDPRV ,=PtQ,%Pi[   9LQPtQ9= 5 ,9 'LYLGLQGRDH[SUHVVmR ,,, SRU ,9 WHPRV ,]Pi[  9LQPi[±9= ,=PtQ,%Pi[   9LQPtQ9= ,]Pi[  9LQPi[±9=  ,=PtQ,%Pi[  9 9LQPtQ9= x 1RH[HPSORDEDL[RSURMHWDUHPRVXPUHJXODGRUVpULHFRPDVVHJXLQWHVFDUDFWHUtVWLFDV 9/ 9,/Pi[ $9LQ 9  3DUDHVFROKHUPRVRWUDQVLVWRUGHYHPRVFRQVLGHUDUDVVHJXLQWHVFDUDFWHUtVWLFDV 9&%2!9LQPi[ ,&Pi[!,/Pi[ PHOKRUFRQGLomR 3'Pi[! 9LQPi[±9/ ,&Pi[ 2WUDQVLVWRUHVFROKLGRIRLR%'FXMRDVFDUDFWHUtVWLFDVVmR &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  9&%2Pi[ 9 ,FPi[ $ 3'Pi[ : E PtQ XWLOL]DUHPRV HVWH YDORU GH E TXH p PHQRU TXH R YDORU LQGLFDGR QR PDQXDO JDUDQWLQGR XP SHUIHLWR IXQFLRQDPHQWRGRFLUFXLWR 9HULILFDUHPRVDJRUDDSRWrQFLDGLVVLSDGDSHORFROHWRUGRWUDQVLVWRU 3'Pi[  9LQPi[±9/ ,&Pi[ ,&Pi[ ,&Pi[±,%Pi[ ,(Pi[ ,OPi[ ,&Pi[ ,/Pi[±,%Pi[Ÿ ,%Pi[ ,&PD[ E PtQ ,&Pi[ ,/Pi[±,&PD[ Ÿ ,&Pi[,&PD[ ,/Pi[ FRORFDQGR,&Pi[HPHYLGrQFLD  E PtQ E PtQ ,&Pi[    ,/Pi[Ÿ ,&Pi[ ,/Pi[ E PtQ   E PtQ VXEVWLWXLQGRRVYDORUHVWHPRV,&Pi[  P$    3'Pi[  ± [[ : $SRWrQFLDTXHR WUDQVLVWRU LUiGLVVLSDUHVWiEHPDEDL[RGDHVSHFLILFDGDRTXHQRVSHUPLWH XWLOL]DURWUDQVLVWRU $ SUy[LPD HWDSD p D HVFROKD GR GLRGR 2 =(1(5 HVFROKLGR IRL R %=;&9 FRP DV VHJXLQWHVFDUDFWHUtVWLFDV3=Pi[ P:,=Pi[ P$,=PtQ P$H9= 9 (VFROKHPRVHVWH=(1(5SRUTXHDSUHVHQWDXPDWHQVmRGH UHJXODomR9= 9HR WUDQVLVWRU GH VLOtFLR TXH DSUHVHQWD 9%(   9 SDUD HIHLWR GH FiOFXORV SRGHPRV FRQVLGHUDU 9%( 9RTXHID]9/ 9 9HULILFDPRVDJRUDVHR]HQHUHVFROKLGRpDGHTXDGR ,%Pi[ ,&Pi[ E PtQ P$ P$ ,=Pi[  9LQPi[±9=  ,=PtQ,%Pi[   9±9 [ P$[P$  P$ 9LQPtQ±9= 9±9 $FRUUHQWHTXHR]HQHULUiVXSRUWDUHVWiEHPDEDL[RGDHVSHFLILFDGDRTXHQRVSHUPLWHXWLOL]DUR ]HQHUHVFROKLGRFRPERDPDUJHPGHVHJXUDQoD 3DVVDPRVDJRUDSDUDRFDOFXORGH5SDUDRFDVRGDPi[LPDWHQVmRGHHQWUDGD &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,   &,65(*8/$'25(6'(7(16­2326,7,9$6e5,(;; 1Ò0(52'2&, 7(16­2326,7,9$5(*8/$'$ 9LQ0Ë1,02  9 9  9 9  9 9  9 9  9 9  9 9  9 9  9 9  &,65(*8/$'25(6'(7(16­21(*$7,9$6e5,(;; 1Ò0(52'2&, 7(16­21(*$7,9$5(*8/$'$ 9LQ0Ë1,02  9 9  9 9  9 9  9 9  9 9  9 9  9 9  9 9 x ([HPSOR3URMHWDUXPDIRQWHGHWHQVmRGH9XWLOL]DQGR&,GDVpULHTXHRSHUH FRPXPDFRUUHQWHGH$ $WHQVmRGHVHFXQGiULRp9UPVTXHSDVVDQGRSDUDYDORUGHSLFRWHUHPRV 96 Pi[ 9()    9 &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  &RPR Mi VDEHPRV R YDORU GD WHQVmR GH SLFR QR VHFXQGiULR H D FRUUHQWH p  $ GHWHUPLQDUHPRVRYDORUGRFDSDFLWRU&XWLOL]DQGRDUHJUDGRV & ,FF  $ ) P) I[9RQG+][9 &RPRYDORUGHFDSDFLWRUFDOFXODGR P) FDOFXODPRVDJRUDRYDORUGDRQGXODomR 9RQG  ,FF  $ 9 I[&[P) &RPDWHQVmRGHRQGXODomRGHWHUPLQDUHPRVRYDORUGDWHQVmRQRVWHUPLQDLVGRFDSDFLWRUYDPRV FRQVLGHUDUDVLWXDomRPDLVFUtWLFDGHVFRQWDUHPRVGDRQGXODomR 9FF 96±9RQG 9±9 9 9LQ PtQ  9FF9'  9±9 9 2YDORUPtQLPRQHFHVViULRSDUDTXHR&,IDoDDUHJXODomRp9RTXHQRVSHUPLWLUiXVDUVHP SUREOHPDVHVWH&,  75$16,6725(6'(()(,72'(&$032 7(&RX)(7 8P WUDQVLVWRU GH MXQomR ELSRODU 7-%  p XP GLVSRVLWLYR GH FRUUHQWH FRQWURODGD 2 WUDQVLVWRU GH IHLWR GH FDPSR 7(& RX )(7  p XQLSRODU (OH RSHUD FRPR GLVSRVLWLYR GH WHQVmR FRQWURODGD 2)(7SRVVXLWUrVWHUPLQDLV  )217( VRXUFH ±1HVWHWHUPLQDOTXHpIRUQHFLGDDFRUUHQWH  '5(12 GUDLQ ±1HVWHWHUPLQDOTXHpGUHQDGRDFRUUHQWH  *$7( SRUWD ±1HVWHWHUPLQDOpIHLWRRFRQWUROHGRWUDQVLVWRU $HVWUXWXUD ItVLFDGHXP)(7PRVWUDGR QDVILJXUDV D H E p FRQVWUXtGR FRPXPD EDUUD GH PDWHULDO WLSR 1 FRP XP SDU GH UHJL}HV WLSR 3 GLIXQGLGDV HP VHX LQWHULRU SDUD XP WUDQVLVWRUGHFDQDO1 &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,   6,0%2/2*,$'275$16,6725'(()(,72'(&$032  32/$5,=$d­2'275$16,6725'(()(,72'(&$032 $WHQVmRGDIRQWH9''SURGX]XPDWHQVmRQRVWHUPLQDLVGUHQRIRQWH9'6TXHUHVXOWD QDFRUUHQWH,'GRGUHQRSDUDDIRQWH SHORVHQWLGRFRQYHQFLRQDO (VWDFRUUHQWHSDVVDSHORFDQDO IRUPDGRSHODSRUWD WLSR3$WHQVmRHQWUHDSRUWDHD IRQWH9*6 pGHWHUPLQDGDSHODIRQWHGH WHQVmR 9** &RPR HVWD WHQVmR SRUWDIRQWH SRODUL]D D MXQomR SRUWDIRQWH LQYHUVDPHQWH QmR KDYHUiFRUUHQWHQDSRUWD2HIHLWRGDWHQVmRGDSRUWDpDFULDomRGHXPDUHJLmRGHGHSOHomRQR FDQDO UHGX]LQGR GHVWD IRUPD D ODUJXUD GR PHVPR SDUD DXPHQWDU D UHVLVWrQFLD GUHQRIRQWH UHVXOWDQGRHPXPDFRUUHQWHGHGUHQRPHQRU 1RSULPHLURLQVWDQWHYDPRVFRQVLGHUDUDRSHUDomRGRGLVSRVLWLYRFRP9*6 9SDUD HPVHJXLGD DXPHQWDUPRV HVWD WHQVmR GH SRODUL]DomR LQYHUVD WRUQDGRDPDLV QHJDWLYD SDUD XP GLVSRVLWLYR GH FDQDO 1  $)LJXUD  PRVWUD TXH D FRUUHQWH GH GUHQR DWUDYpV GR PDWHULDO 1 SURGX]XPDTXHGDGHWHQVmRDRORQJRGRFDQDOTXHpPDLVSRVLWLYDQRGUHQR(VWHSRWHQFLDOGH SRODUL]DomRLQYHUVDQRVWHUPLQDLVGDMXQomR31SURGX]DUHJLmRGHGHSOHomRPRVWUDGDQD)LJXUD D  &RQIRUPHDWHQVmR9''DXPHQWDDFRUUHQWH ,'DXPHQWDUHVXOWDQGRHPXPDUHJLmRGH GHSOHomRPDLRUHSRUWDQWRXPDUHVLVWrQFLDPDLRUGRGUHQRSDUDDIRQWH2DXPHQWRGDUHJLmRGH &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  x ([HPSOR 'HWHUPLQDU D FRUUHQWH GH GUHQR GH XP )(7 FDQDO 1 FRP WHQVmR GH HVWUDQJXODPHQWR9S 9HFRUUHQWHGHVDWXUDomRGUHQRIRQWH,'66 P$SDUDDV VHJXLQWHVWHQV}HVSRUWDIRQWH 3DUD9*6 9 ,' ,'66>± 9*69S @ ,' P$>±  @  P$ 3DUD9*6 9 ,' ,'66>± 9*69S @ ,' P$>±  @  P$  3$5Æ0(7526'2)(7 2VIDEULFDQWHVHVSHFLILFDPYiULRVSDUkPHWURVGR)(7$ERUGDUHPRVRVPDLVLPSRUWDQWHV HPQRVVRVHVWXGRV  ,'66±&255(17('(6$785$d­2'5(12)217( $ FRUUHQWH QD TXDO R FDQDO p  HVWUDQJXODGR TXDQGR RV WHUPLQDLV GH SRUWD H IRQWH HVWmR FXUWRFLUFXLWDGRV 9*6  3DUDXPGLVSRVLWLYRGHSHTXHQRVVLQDLVHVWDFRUUHQWHpWLSLFDPHQWH GHPLOLDPSpUHV P$   9S 9*6RII±7(16­2'(&257( (675$1*8/$0(172 3257$)217( $ WHQVmR SRUWDIRQWH SDUD D TXDO R FDQDO GUHQRIRQWH p HVWUDQJXODGR UHVXOWDQGR HP SUDWLFDPHQWHQHQKXPDFRUUHQWHGHGUHQR  %9*66±7(16­2'(583785$)217(3257$ $ WHQVmR GH XPD UXSWXUD GH XPD MXQomR IRQWHSRUWD p PHGLGD HP XPD FRUUHQWH HVSHFLILFDGDFRPRVWHUPLQDLVGUHQRIRQWHFXUWRFLUFXLWDGRV2YDORUGDWHQVmRGHUXSWXUDLQGLFD XPYDORUOLPLWHGHWHQVmRQRVWHUPLQDLVSRUWDIRQWHTXHGHYHVHUXVDGRQDHVFROKDGDWHQVmRGH GUHQR &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,   JP JIV±75$16&21'87Æ1&,$'(75$16)(5Ç1&,$',5(7$(0)217( &2080 $ WUDQVFRQGXWkQFLD p PHGLGD FRP RV WHUPLQDLV GUHQRIRQWH FXUWRFLUFXLWDGRV e XPD LQGLFDomRGDDPSOLILFDomRDFGR)(7 JP pPHGLGR HP6LHPHQV 6   FRP  YDORUHV  WtSLFRV GH P6 D P6 RX P6 D P6 JP JP>± 9*69*6 RII @ JP ,'66_9*6 RII _ ,'66_9S_ JP pRSDUkPHWURGHJDQKRDFPi[LPRGR)(7HRFRUUHSDUDDSRODUL]DomR9*6 9 3DUDTXDOTXHURXWUDFRQGLomRGHSRODUL]DomRRYDORUGHJP pPHQRU x ([HPSOR&DOFXODUDWUDQVFRQGXWkQFLD JP GHXP)(7FRPWHQVmRGHHVWUDQJXODPHQWR 9S  9H FRUUHQWHGH VDWXUDomRGUHQRIRQWH ,'VV P$QRV VHJXLQWHVSRQWRVGH SRODUL]DomR JP ,'66_9*6 RII _  P$ _9_ P6 P6 3DUD9*6 9 JP JP>± 9*69*6 RII @JP P6 >± 99 @ P6 3DUD9*6 9 JP JP>± 9*69*6 RII @JP P6 >± 99 @ P6  UGV RQ ±5(6,67Ç1&,$'5(12)217(3$5$2',6326,7,92/,*$'2 $UHVLVWrQFLDGUHQRIRQWHSDUDRGLVSRVLWLYROLJDGRPHGLGDFRPXPDWHQVmRSRUWDIRQWHH XPDFRUUHQWHGHGUHQRHVSHFLILFDGDVpLPSRUWDQWHTXDQGRVHXVDR)(7FRPRFKDYH  32/$5,=$d­2'275$16,6725'(()(,72'(&$032 )(7  32/$5,=$d­2),;$'$ &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  $VFDUDFWHUtVWLFDVGHGUHQRGR)(7PRVWUDTXH,'VV P$H9S 9FRPRDWHQVmR SRUWDIRQWHpIL[DGDSHODEDWHULD9**HVFROKHPRVSHODFXUYD9*6 9 SDUDSRODUL]DomRGR FLUFXLWR3DUDGHWHUPLQDUJUDILFDPHQWHRSRQWRGHSRODUL]DomRWUDoDPRVDUHWDGHFDUJD$UHWDp REWLGDDSDUWLUGHGRLVSRQWRV 8PSRQWR HVWiQRHL[RGH9'6RQGH9'6 9'' 2RXWURSRQWR HVWiQRHL[R,'RQGH,' 9''5' &RQIRUPH  D  LQWHUVHomR  GD  UHWD  GH  FDUJD FRP  D  FXUYD GH GUHQR  RFRUUH HP DSUR[LPDGDPHQWHHP9'6 9H,' P$ 2 SRQWR GH SRODUL]DomR SRGH WDPEpP VHU GHWHUPLQDGR D SDUWLU GDV FDUDFWHUtVWLFDV GH WUDQVIHUrQFLD3DUD9*6 9WHPRV,' P$3RGHPRVHQWmRFDOFXODU9'6HGH,' 3DUD,' P$ 9'6 9''±,'5' 9± P$  .:  9 3DUD9*6 9 ,' ,'66>± 9*69S @ ,' P$>±  @  P$  $87232/$5,=$d­2 &RPR D SRUWD WHP SRODUL]DomR UHYHUVD IOXL XPD FRUUHQWH GHVSUH]tYHO SUy[LPD GH ]HUR DWUDYpVGH5*ID]FRPTXH9* 9 DWHQVmRGDIRQWHDRWHUUDp96 ,'56 HDWHQVmRGDSRUWDSDUDDIRQWHp9*6 9*±96 ±,'56 !9*6 ±,'56 &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  x ([HPSOR'HWHUPLQDURVYDORUHVTXLHVFHQWHVHRSRQWRGHRSHUDomRQRFLUFXLWRDEDL[R TXHXWLOL]DXP)(7FRP9S 9,'VV P$ 1RVVRSULPHLURSDVVRpGHVHQKDUDFXUYDGHWUDQVIHUrQFLDGR)(7XVDQGRRVYDORUHVGDGRVGH 9SH,'VV 3DUD9*6 9 ,' ,'66>± 9*69S @ ,' P$>±  @  P$ 3DUD9*6 9 ,' ,'66>± 9*69S @ ,' P$>±  @  P$ 3DUD9*6 9 ,' ,'66>± 9*69S @ ,' P$>±  @  P$ 3DUD9*6 9 ,' ,'66>± 9*69S @ ,' P$>±  @  P$ 3DUD9*6 9 ,' ,'66>± 9*69S @ ,' P$>±  @   P$ &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  9* 59'' .9 9| 9 550. 7UDoDQGRDOLQKDGHSRODUL]DomRSRGHPRVREWHURSRQWRGHSRODUL]DomRDSDUWLUGDLQWHUVHomR GDUHWDFRPDFXUYDGHWUDQVIHUrQFLDRQGHHQFRQWUDPRVRVYDORUHVTXLHVFHQWHVGH,' P$H 9*6 9 &DOFXODPRVHQWmR9' 9''±,'5' 9±P$ .:  9 96 ,'5' P$ .:  9 9'6 9'±96 9±9 9 9*6 9*±96 ±9 9 DSUR[LPDGDPHQWHLJXDODR YDORUGRJUiILFR   026)(7 6(0,&21'8725)(7'(Ï;,'20(7$/È/,&2 3RGHVHFRQVWUXLUXP)(7FRPRWHUPLQDOGDSRUWD LVRODGRGRFDQDO2026)(7SRGH IXQFLRQDUSRUGHSOHomRRXSRULQGXomR  02'27,32'(3/(d­2 $ILJXUD PRVWUDXP026)(7GHFDQDO12VHOpWURQVIOXHPDWUDYpVGRPDWHULDO1D UHJLmR3pFKDPDGDGHVXEVWUDWRHODUHGX]ILVLFDPHQWHRSHUFXUVRFRQGXWRUIRUPDQGRXPFDQDO HVWUHLWR2VHOpWURQVTXHIOXHPGDIRQWHSDUDRGUHQRWHPTXHSDVVDUDWUDYpVGHVVHFDQDOHVWUHLWR e GHSRVLWDGD XPD FDPDGD ILQD GH GLy[LGR GH VLOtFLR R PHVPR TXH YLGUR TXH p LVRODQWH  6L2 GRODGRHVTXHUGRGRFDQDO(PXP026)(7DSRUWDpPHWiOLFDHSHORIDWRGDSRUWDVHULVRODGDDMXQomR31TXHH[LVWLDQR)(7IRLHOLPLQDGDQR026)(7 &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  $ILJ PRVWUDXP026)(7SRODUL]DGD2VHOpWURQVIOXHPDWUDYpVGRFDQDOHVWUHLWRj HVTXHUGD GR VXEVWUDWR 3 $ WHQVmR GD SRUWD SRGH FRQWURODU D ODUJXUD GR FDQDO  4XDQWR PDLV QHJDWLYD D WHQVmR GD SRUWD PHQRU D FRUUHQWH GH GUHQR DWp TXH D WHQVmR GD SRUWD VHMD VXILFLHQWHPHQWHQHJDWLYDSDUDFRUWDUDFRUUHQWHGHGUHQR  02'27,32,17(16,),&$d­2 (15,48(&,0(172 &RPRDSRUWDGHXP026)(7pLVRODGDGRFDQDOSRGHPRVDSOLFDUXPDWHQVmRSRVLWLYDj SRUWDFRPRPRVWUDDILJXUD$WHQVmRSRVLWLYDGDSRUWDDXPHQWDRQ~PHURGHHOpWURQVOLYUHV TXHIOXHPDWUDYpVGRFDQDO4XDQWRPDLVSRVLWLYDDWHQVmRGDSRUWDPDLRUDFRQGXomRGDIRQWHDR GUHQR 2 IXQFLRQDPHQWR GR 026)(7 FRP XPD WHQVmR SRVLWLYD GD SRUWD GHSHQGH GD LQWHQVLILFDomR GD FRQGXWLYLGDGH GR FDQDO 3RU HVWD UD]mR D RSHUDomR FRP SRUWD SRVLWLYD p FKDPDGDPRGRLQWHQVLILFDomR &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  x ([HPSOR'HWHUPLQDURVYDORUHVTXLHVFHQWHVHRSRQWRGHRSHUDomRQRFLUFXLWRDEDL[R TXHXWLOL]DXP026)(7GHGHSOHomRFDQDO1FRP9*6 RII  9,'VV P$ &RPR9* 9DSOLFDPRVHP9*6 9*±96 ±,'56 ,': SDUDGHVHQKDUPRV DUHWDGH56 $RWUDoDUPRVDUHWD56HQFRQWUDPRVJUDILFDPHQWHRVYDORUHVTXLHVFHQWHVGH9*6 9 FRP ,'  P$ 0DWHPDWLFDPHQWH DSOLFDPRV  9*6  9 HP ,'  ,'66 > ± 9*6 9S @ DILP GH FRQILUPDUPRVRYDORUGH,' P$  $WHQVmR9'6 pGHWHUPLQDGDSRU 9'6 9''± ,'5'±,'56 9''±,' 565'  9±P$ .: : 9  026)(7'27,32,17(16,),&$d­2 $ILJXUDD PRVWUDXP026)(7GRWLSR,17(16,),&$d­2GHFDQDO12VXEVWUDWR HVWHQGHVHSRUWRGDDSDUWHGRGLy[LGRGHVLOtFLRHILVLFDPHQWHQmRWHPRVPDLVXPFDQDO1HQWUHD IRQWHHRGUHQR &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  1D ILJXUD E WHPRV XP026)(7 LQWHQVLILFDomR SRODUL]DGR 4XDQGR 9*6   9 D DOLPHQWDomR9''WHQWDIRUoDURVHOpWURQVOLYUHVGDIRQWHSDUDRGUHQRPDVDFRUUHQWHp]HUR2 026)(7 LQWHQVLILFDomR SRU HVWD UD]mR p WDPEpP FRQKHFLGR FRPR 026)(7QRUPDOPHQWH GHVOLJDGR $ SRUWD H R VXEVWUDWR WLSR 3 VmR FRPR GXDV SODFDV GH XP FDSDFLWRU VHSDUDGDV SRU XP GLHOpWULFR 4XDQGR D SRUWD p SRVLWLYD HOD LQGX] FDUJDV QHJDWLYDV QR VXEVWUDWR 3 (P  RXWUDV SDODYUDVDSRUWDSRVLWLYDDWUDLRVHOpWURQVOLYUHVGDIRQWHSDUDRFDQWRHVTXHUGRLQIHULRUGDUHJLmR 34XDQGR D SRUWD IRU VXILFLHQWHPHQWH SRVLWLYD HOD SRGH DWUDLU HOpWURQV OLYUHV VXILFLHQWHV SDUD IRUPDU XPD FDPDGD ILQD GH HOpWURQV HQWUH D IRQWH H R GUHQR (VWD FDPDGD GH HOpWURQV OLYUHV p FKDPDGDFDPDGDGHLQYHUVmRWLSR1  7(16­2'(/,0,$5 29*6 PtQLPR TXH FULD D  FDPDGDGH LQYHUVmR WLSR1pFKDPDGR WHQVmRGH OLPLDU 9*6 OLPLDU 4XDQGR9*6pPHQRUGRTXH9*6 OLPLDU IOXLXPDFRUUHQWH]HURGDIRQWHSDUDR GUHQR0DVTXDQGR9*6 IRUPDLRU TXH9*6 OLPLDU  XPD FDPDGD GH LQYHUVmR WLSR1 OLJDUi D IRQWHDRGUHQRHREWHUHPRVXPDFRUUHQWH  &859$6'('5(12 $ FXUYD PDLV EDL[D p D FXUYD GH 9*6 OLPLDU  4XDQGR 9*6 IRU PHQRU GR TXH 9*6 OLPLDU  D FRUUHQWH GR GUHQR VHUi H[WUHPDPHQWH SHTXHQD4XDQGR9*6 IRUPDLRU GR TXH 9*6 OLPLDU  IOXL XPD FRUUHQWH GR GUHQR VLJQLILFDWLYD FXMD LQWHQVLGDGH GHSHQGH GR YDORU GH 9*6  &859$'(75$16&21'87Æ1&,$ 2YpUWLFH GD SDUiEROD VLWXDVH HP9*6 OLPLDU  3RU LVVR  D HTXDomR SDUD D SDUiEROD p GLIHUHQWHGDDQWHULRU ,' .>9*6±9*6 OLPLDU @ .pXPDFRQVWDQWHTXHGHSHQGHGRWUDQVLVWRU <p Colégio do Instituto Batista Americano Apostila de Eletrônica Linear II ID(mA) ID=K[ VGS - VGSdimiar))> VGSdimiar) Fig. 48 8.5.4 SIMBOLOGIA DO MOSFET TIPO INTENSIFICAÇÃO DRENO DRENO PR HH Hm PORTA HH PORTA HH FONTE FONTE CANAL N CANAL P Fig. 49-a Fig. 49-h MOSFET DO TIPO INTENSIFICAÇÃO e Exemplo: Determinar os valores quiescentes e o ponto de operação, no circuito abaixo que utiliza um MOSFET de indução canal N com VGS(limiar) = 3,0V. IDima) 2 +30y ID=03(VOS- 3) YLD RD RDN, ER 10 RG So 62mã- 5 vos + 3 5 |1 15 30v Fig S0-a 76Y VYDD A curva característica do transistor foi desenhada usando a equação: 42 &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  $3(1',&( ,'(17,),&$d­2 '( 7(50,1$,6 ( 7(67( '( 75$16,6725(6 ,'(17,),&$d­2'(7(50,1$,6'(75$16,6725(6 &RPHVWDSURYDSRGHPRVLGHQWLILFDURVWHUPLQDLVGHHPLVVRU ( FROHWRU & HD EDVH % GH WUDQVLVWRUHV GH XVR JHUDO 5) H FRPXWDomR GH SHTXHQDPpGLD H JUDQGH SRWrQFLDV FRP ERD SUHFLVmR$SURYDWDPEpPSHUPLWHHVWDEHOHFHUVHRWUDQVLVWRUp131RX313 352&(',0(172 D &RORTXHRPXOWtPHWURQDHVFDODEDL[DGHUHVLVWrQFLDV2+06[RX2+06[VH IRUDQDOyJLFR8VHDHVFDODGHRX2KPV VHIRUGLJLWDO E =HUHRPXOWtPHWURVHIRUDQDOyJLFR F 0HoD DV UHVLVWrQFLDV GLUHWDV H LQYHUVDV HQWUH RV WHUPLQDLV  GRLV D GRLV GH IRUPD FRPELQDGD DWp HQFRQWUDU XP SDU HP TXH WDQWR D UHVLVWrQFLD GLUHWD FRPR D LQYHUVD VHMDPDOWDV6mRPHGLGDVUHDOL]DGDV G 2WHUPLQDOTXHQmRpXVDGRQHVWDPHGLGDpFHUWDPHQWHDEDVH %  &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  H 'HSRLVPHoDDUHVLVWrQFLDGLUHWDHQWUHRWHUPLQDOGHEDVHHRVRXWURVGRLVWHUPLQDLV $UHVLVWrQFLDPHQRUVHUiPHGLGDHQWUHDEDVHHRHPLVVRUGHDFRUGRFRPDILJXUD I 3DUD VDEHU VHR WUDQVLVWRUp131RX313YHULILTXH VHQDEDL[D UHVLVWrQFLD  HQWUH D EDVHHRHPLVVRU pDSRQWDYHUPHOKDRXSUHWDTXH HVWiQDEDVH6H IRUYHUPHOKD R WUDQVLVWRUp131HVHIRUSUHWDp313 3DUD RV PXOWtPHWURV GLJLWDLV FRP D IXQomR GH SURYD GRV WUDQVLVWRUHV D FRPELQDomR GRV WHUPLQDLV VHUYH SDUD D LGHQWLILFDomR 9i OLJDQGR R WUDQVLVWRU VXVSHLWR GH GLYHUVDV IRUPDV DWp TXH R PXOWtPHWUR LQGLTXH XP JDQKR SDUD R FRPSRQHQWH4XDQGRLVVRRFRUUHUpSRVVtYHOVXDOLJDomRQRVRTXHWHHVWDUFHUWDHD LGHQWLILFDomRGRVWHUPLQDLVSRGHVHUIHLWD J 0HoD DV UHVLVWrQFLDV GLUHWDV H LQYHUVDV HQWUH RV WHUPLQDLV  GRLV D GRLV GH IRUPD FRPELQDGD DWp HQFRQWUDU XP SDU HP TXH WDQWR D UHVLVWrQFLD GLUHWD FRPR D LQYHUVD VHMDPDOWDV6mRPHGLGDVUHDOL]DGDV K 2WHUPLQDOTXHQmRpXVDGRQHVWDPHGLGDpFHUWDPHQWHDEDVH %  L 'HSRLVPHoDDUHVLVWrQFLDGLUHWDHQWUHRWHUPLQDOGHEDVHHRVRXWURVGRLVWHUPLQDLV$ UHVLVWrQFLDPHQRUVHUiPHGLGDHQWUHDEDVHHRHPLVVRUGHDFRUGRFRPDILJXUD M 3DUD VDEHU VHR WUDQVLVWRUp131RX313YHULILTXH VHQDEDL[D UHVLVWrQFLD  HQWUH D EDVHHRHPLVVRU pDSRQWDYHUPHOKDRXSUHWDTXH HVWiQDEDVH6H IRUYHUPHOKD R WUDQVLVWRUp131HVHIRUSUHWDp313 7(67('(75$16,6725(6%,32/$5(6 3529$'(-81d­2 352&(',0(172 D &RORTXHRPXOWtPHWURQDHVFDODPDLVEDL[DGHUHVLVWrQFLDV2+06[RX2+06[ VHIRUDQDOyJLFR6HIRUGLJLWDOXVHDVHVFDODVGHRXGH2+06 E =HUHRLQVWUXPHQWRVHIRUDQDOyJLFR F )DoDDVVHJXLQWHVPHGLGDV &ROpJLRGR,QVWLWXWR%DWLVWD$PHULFDQR$SRVWLODGH(OHWU{QLFD/LQHDU,,  B5HVLVWrQFLDGLUHWDFROHWRUHPLVVRU B5HVLVWrQFLDUHYHUVDFROHWRUHPLVVRU B5HVLVWrQFLDGLUHWDEDVHFROHWRU B5HVLVWrQFLDUHYHUVDEDVHHPLVVRU B5HVLVWrQFLDUHYHUVDEDVHFROHWRU 6DWLVIHLWDV HVWDV PHGLGDV R WUDQVLVWRU HVWDUi FRP DV MXQo}HV HP ERP HVWDGR 3DUD WUDQVLVWRUHV131H313DVSRODULGDGHVGDVSRQWDVGHSURYDVmRGLIHUHQWHV -81d­2 0(','$ &21',d­2 &ROHWRU(PLVVRU 'LUHWDHUHYHUVDDOWDV %RP &ROHWRU(PLVVRU 'LUHWDHUHYHUVDEDL[DV &XUWR &ROHWRU%DVH 'LUHWDEDL[DHUHYHUVDDOWD %RP &ROHWRU%DVH 'LUHWDHUHYHUVDEDL[DV &XUWR &ROHWRU%DVH 'LUHWDHUHYHUVDDOWDV $EHUWR %DVH±(PLVVRU 'LUHWDEDL[DHUHYHUVDDOWD %RP %DVH±(PLVVRU 'LUHWDHUHYHUVDEDL[DV &XUWR %DVH±(PLVVRU 'LUHWDHUHYHUVDDOWDV $EHUWR 3529$'(-81d­2 352&(',0(172 D 5HSLWDRVSURFHGLPHQWRVDH EGRLWHP E 0HoD D UHVLVWrQFLD HQWUH FROHWRU H HPLVVRU  6H D OHLWXUD IRU PDLRU TXH  0: R WUDQVLVWRUHVWiHPERDFRQGLomR6HDOHLWXUDHVWLYHUHQWUH0: H0: RWUDQVLVWRU HVWDFRPIXJD6HDOHLWXUDHVWLYHUDEDL[RGH0: RWUDQVLVWRUHVWDFRPPXLWDIXJD