Bipolar transistors. Two port representation of the bipolar transistor Models of bipolar transistors

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1 LTRONOS ĮTASA 009 ipola tansistos Two pot epesentation of te bipola tansisto Models of bipola tansistos Objectives: Systems of, g and paametes of JTs Meanings of, g and paametes Finding (calculation) of and ote paametes Metodology of composing of te T-type equivalent cicuit fo a JT in its configuation alculation of paametes of t equivalent cicuit and application of te cicuit VGT F S stanislovas.staas@el.vgtu.lt

2 LTRONOS ĮTASA 009 Two pot epesentation of a JT. - caacteistics of JTs ae not linea. Te powefull tools of linea cicuit analysis cannot be used.. Wen tansisto is used fo pocessing of small signals, only small pats of non-linea caacteistics ae used. Ten te linea appoximations of te caacteistics at te quiescent opeating points ae possible. 3. At pocessing of small signals, te linea models of JTs can be used. VGT F S stanislovas.staas@el.vgtu.lt

3 LTRONOS ĮTASA Sets of equations, descibing JTs Z Z Z Z Z impedance; esistance Y Y Y Y g g g g Y admittance; g conductance H H H H H, ybid paametes VGT F S stanislovas.staas@el.vgtu.lt

4 LTRONOS ĮTASA paametes te input esistance wen output is open te evese tansfe esistance wen te input is open te fowad tansfe esistance wen te output is open 0 te output esistance wen te input is open. Te open cicuit conditions (fo altenating cuent) must be aanged.. Difficulties aise wen esistances and ae measued. VGT F S stanislovas.staas@el.vgtu.lt

5 LTRONOS ĮTASA g paametes g g g g g 0 te input conductance wen te output is sotened g 0 te evese tansfe conductance wen te input is sotened g 0 te fowad tansfe conductance wen te output is sotened g 0 te output conductance wen te input is sotened. Te sot cicuit egimes (fo altenating voltage) must be aanged.. Difficulties aise wen conductances g and g ae measued. VGT F S stanislovas.staas@el.vgtu.lt

6 LTRONOS ĮTASA paametes 0 0 input esistance wit sotened output open cicuit evese voltage gain 0 sot cicuit fowad cuent gain 0 output conductance wit input open. Tee ae no difficulties to aange output sotened and input open conditions and measue paametes.. Te set of paametes includes infomation about cuent gain: α, β VGT F S stanislovas.staas@el.vgtu.lt

7 LTRONOS ĮTASA Paametes of JTs A JT as a linea netwok can be epesented by tee sets of paametes: g g g g paametes of a JT ae known. Deive fomulas fo calculation of its paametes. VGT F S stanislovas.staas@el.vgtu.lt

8 LTRONOS ĮTASA Paametes of JTs ( ),,,. VGT F S stanislovas.staas@el.vgtu.lt

9 LTRONOS ĮTASA valuation ofpaametes 0 const Q 0 const 3 Q VGT F S stanislovas.staas@el.vgtu.lt

10 LTRONOS ĮTASA valuation paametų ofpaametes skaičiavimas 3 0 const 3 Q 0 const Q VGT F S stanislovas.staas@el.vgtu.lt

11 LTRONOS ĮTASA 009 paametų Tansisto skaičiavimas models quivalent cicuits of a pnp tansisto coesponding to te bes-moll equations VGT F S stanislovas.staas@el.vgtu.lt

12 LTRONOS ĮTASA 009 Te T-type model paametų of a JT skaičiavimas in its configuation VGT F S stanislovas.staas@el.vgtu.lt

13 LTRONOS ĮTASA 009 VGT F S stanislovas.staas@el.vgtu.lt 3 ( ) ( ) ( ) α ( ) ( ) ( ) α ( )... α ( ) Q Q 0,05 q k β T/ Te T-type model of a JT in its configuation

14 LTRONOS ĮTASA Te T-type model paametų of a JT skaičiavimas in its configuation kt q Q 0,05 Q β ( ) / β τα π f T τ τ α τ τ τ / VGT F S stanislovas.staas@el.vgtu.lt

15 LTRONOS ĮTASA Te T-type model of a JT in its configuation A JT is in its configuation. Accoding to - caacteistics paametes wee found at te given Q point (emitte cuent 5 ma, collecto-base voltage 5 V): input esistance 4 Ω, emitte cuent gain 0,99, output conductance 50 µs. Sketc te T-type model of te tansisto and find paametes of equivalent cicuit elements. VGT F S stanislovas.staas@el.vgtu.lt

16 LTRONOS ĮTASA Te T-type model of a JT in its configuation kt q Q 0,05 Q β ( ) / β τα π f T τ τ α τ τ τ / VGT F S stanislovas.staas@el.vgtu.lt

17 LTRONOS ĮTASA Te T-type model of a JT in its configuation ( α ) ( α) ( β ) ( α) α α VGT F S stanislovas.staas@el.vgtu.lt

18 LTRONOS ĮTASA Te T-type model of a JT in its configuation βι Β ( ) ( ) ( β ) ( ) ( β ) ( )... ( β) kt / q Q VGT F S stanislovas.staas@el.vgtu.lt

19 LTRONOS ĮTASA Te T-type model of a JT in its configuation βι Β β kt q Q β 0,05 Q f β f T / β 0 β 0 jω / ω β ( β) / β, ( ) VGT F S stanislovas.staas@el.vgtu.lt

20 LTRONOS ĮTASA omposing and application of te T-type equivalent cicuit of a JT in its configuation A JT is in its configuation. At te given Q-point (base cuent 0. ma, voltage 5 V) te input esistance is 300 Ω, te base cuent gain is 00, and te output conductance is 00 µs. Sketc te equivalent cicuit of te JT. Find te paametes of te cicuit. Find te voltage gain at input voltage of 0 mv and load esistance of 300 Ω. VGT F S stanislovas.staas@el.vgtu.lt

21 LTRONOS ĮTASA 009 omposing and application of te T-type equivalent cicuit of a JT in its configuation βι Β kt q Q 0,05 Q ( β / β ) VGT F S stanislovas.staas@el.vgtu.lt

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