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Transformer Coupling 1 Introduction Figure shown the transformer coupling to a load resistance such as a Loudspeaker in a radio. With a transformer – the small load resistance can be stepped up to a higher impedance level This improve the voltage gain – also since no signal power is wasted in a collector resistor, all the ac power is delivered to the final load resistor Very popular at audio frequencies (20 Hz - 20 kHz) 2 AMPLIFIER VCC RB1 Rgen RC CC CC Vin(ac) RB2 RL RE Vout AMPLIFIER OBJECTIVE PROVIDE V, I , POWER to the LOAD most efficiently 3 AMPLIFIER POWER LOSS VCC RB1 Ptransistor VCEQ I CQ VBE I B Rgen Vin(ac) I CQ RC PRB1 I RB1 RB1 PRB 2 I RB 2 RB 2 2 CC CC (ignore ) PRC RC RB2 RL RE Vout if RC not load 2 2 4 PRE I E RE 2 TRANSFORMERS V & I transformation Nprim : Nsec I & V ONLY ac Iprim primary turns sec ondary turns N prim N sec V prim Vsec V prim I prim ideally Pin Isec Vsec Vprim primary turns sec ondary turns n :1 n 1 I sec I prim Vsec I sec Pout 5 TRANSFORMERS Z & R transformation Zprim Nprim : Nsec Iprim I & V ONLY ac Vprim V prim Rin, prim n 2 Rsec n 2 RL I prim n Vsec I sec n Z in, prim V n 2 sec I sec n :1 Isec Vsec Zsec n 2 Z @ sec 6 TRANSFORMER COUPLED AMPLIFIER VCC n :1 RL Vou t n :1 VCC Vin(ac) RB1 Rgen Vin(ac) RL Vout CC RB2 7 TRANSFORMER COUPLED AMPLIFIER n :1 VCC VCC RB1 RB1 RprimDC Rgen RB2 RL Vout CC Vin(ac) RB2 DC EQUIVALENT CIRCUIT IDEALLY Rprim,DC = 0 8 TRANSFORMER COUPLED AMPLIFIER VCC RB1 Rgen Rsec,ac RB1 CC Vin(ac) n :1 VCC Rgen RB2 Vin(ac) RL Vout CC RB2 ac EQUIVALENT CIRCUIT Rprim,ac = n2 RL 9 R prim RE DC & AC LOAD LINES 20 19 slope 18 17 1 R prim 16 15 14 13 mA 12 ‘ideal’ DC load line 11 10 Ic slope TRANSFORMER COUPLED AMPLIFIER 1 DC LOAD LINE if RE in ciruit 9 8 7 Q 6 5 ‘Q’ point determined by BIAS CIRCUIT 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Vce VOLTS VCEQ = VCC 10 TRANSFORMER COUPLED AMPLIFIER ac LOAD LINE DC & AC LOAD LINES 20 OPERATION 19 18 maximum output voltage 17 16 VCC R prim , ac max swing 15 14 ‘ideal’ DC load line 13 mA 12 11 I CQ VCC Rac RDC I CQ VCC 2 (k RL ) ( RDC ) Ic 10 VCEQ VCC ( RDC I CQ ) 9 8 7 ac load line Q 6 5 4 slope 3 2 ‘Q’ point determined by BIAS CIRCUIT 1 R prim , ac 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 VCEQ = VCC Vce VOLTS 2VCC 11 TRANSFORMER COUPLED AMPLIFIERS Advantages: electrical isolation: SAFETY NO XC voltage drop : if @ input higher efficiency : no RC power loss zero or 180 degree phase shift : DOT NOTATION impedance matching : better power transfer voltage / current transformation : can be used as a ‘gain’ stage Disadvantages: COST WEIGHT frequency response SIZE : reduces as frequency increases 12 EXAMPLE: k :1 VCC 20 V RL RB1 5 Ri Rgen k :1 680 8 CC 4 :1 4 :1 Vin(ac) Vout RB2 100 RE 10 50,VBE (ON ) 0.7V , R priDC 5 Determine the amplifier i) Q-point ii) Operating Q-point for the max. o/p iii) i/p impedance, Ri iv) o/p load power 13 SOLUTION: i) Q-point VBB 2.564V RBB 87.18 I BQ VBB VBE 2.564 0.7 3.12mA RBB ( 1) RE 87.18 (51)(10) I CQ 156.1mA VCEQ VCC I C RC ( 1) I B RE 20 (3.12m)(5) (51)(3.12m)(10) 18.39V ii) Operating Q-point for the max. o/p VCC max swing I CQ Rac RDC I CQ VCC 20 139.86 mA 2 2 (k RL ) ( RDC ) (4 8) (5 10) VCEQ VCC ( RDC I CQ ) 20 (15 0.1399) 11.48 V 14 iii) i/p impedance, Ri R Rin i Rgen Rinb k :1 k :1 CC Ri RL Vin(ac) RB2 RB1 Vout RE Ri k 2 ( RB1 RB 2 Rinb ) Ri 4 2 (680 // 100 //( r (1 ) RE )) Ri 16 (680 // 100 //( 8.33 (51)(10) 16 x(680 // 100 // 518.33) 74.63 15 iii) o/p load power, I CQ RLac 2 Pout Pout 2 RLac k 2 RL (0.131) 2 4 2 8 2 Pout 0.922 W 16