280 likes | 1.44k Views
MALVINO. Electronic. PRINCIPLES. AC Models. Chapter 9. X C. R. R. R. SHORT. OPEN. The coupling capacitor. {. Good coupling: X C < 0.1 R. 1. For ac analysis, the capacitor is a short. 2. For dc analysis, the capacitor is open. +30 V. 5 k W. 1 M W. b dc = 100. 100 k W.
E N D
MALVINO Electronic PRINCIPLES
AC Models Chapter 9
XC R R R SHORT OPEN The coupling capacitor { Good coupling: XC < 0.1 R 1. For ac analysis, the capacitor is a short. 2. For dc analysis, the capacitor is open.
+30 V 5 kW 1 MW bdc = 100 100 kW 100 mV A base-biased amplifier with capacitive coupling A dc analysis reveals IB = 30 mA, IC = 3 mA and VC = 15 V.
IB 30 mA t IC 3 mA t VC 15 V t
+ 15 V 0 +0.7 V 0 +30 V 5 kW 1 MW bdc = 100 100 kW 100 mV The base-biased amplifier with voltage waveforms
A = 200 The voltage gain of an amplifier is the ac output divided by the ac input. vin vout vout A = vin
The bypass capacitor Ac ground R XC Good bypassing: XC < 0.1 R
+6.04 V +1.8 V 0 +1.1 V 0 A VDB amplifier with voltage waveforms +10 V 3.6 kW 10 kW 100 kW 2.2 kW 1 kW 100 mV
+5.32 V 0 0 -0.7 V 0 A TSEB amplifier with voltage waveforms +10 V 3.6 kW 100 kW 100 mV 2.7 kW 1 kW -2 V
IE Q VBE Input signal Large-signal operation produces distortion
ie IE IEQ = 10 mA Less than 1 mA VBE Total emitter current: IE = IEQ + ie Small-signal operation: ie(PP) < 0.1IEQ
The dc current gain is given as: IC bdc = IB The ac current gain is given as: ic ib bac = Use capital letters for dc quantities and lowercase letters for ac.
IE VBE The size of the ac emitter current depends on the Q point.
Total emitter current: IE = IEQ + ie Total base-emitter voltage: VBE = VBEQ + vbe The ac resistance of the emitter diode is defined as: vbe re’ = ie
vbe re’ = ie IE Larger ie Smaller ie VBE Note that re’ varies with the operating point. This implies that re’ is a function of the dc emitter current.
A very useful formula: 25 mV re’ = IE
vbe zin(base) = ib iere’ zin(base) = ib The T model of a transistor: ic vbe = iere’ zin(base) ib re’ ie zin(base) = bre’
The p model of a transistor is based on zin(base) = bre’ : ib zin(base) bre’ ic ie
Amplifier analysis • Perform a complete dc analysis • Short all coupling and bypass capacitors • Visualize all dc supply voltages as ac grounds • Replace the transistor by its p or T model • Draw the ac equivalent circuit
Data sheets • The four h parameters are traditional • hfe is the ac current gain • hie is equivalent to input impedance • bac = hfe • re’ = hie/hfe • hre and hoe are not needed for basic design and troubleshooting