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VCIT (ms) 2 ms VCIT = 16 mS V Vbatt + VR(t) Rw1 L Rw2
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VCC = 12 V
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Figure P108
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TC (C )
109 The circuit shown in Figure P109 is used to switch
a relay that turns a light off and on under the control of a computer The relay dissipates 05 W at 5 VDC It switches on at 3 VDC and off at 10 VDC What is the maximum frequency with which the light can be switched The inductance of the relay is 5 mH, and the transistor saturates at 02 V, V = 08 V
RW L
Figure P107 (Continued)
If the transistor, Q1 , saturates at VCE = 03 V and VBE = 09 V, nd the duration of the fuel injector pulse if a Vbatt = 13 V, TC = 100 C b Vbatt = 86 V, TC = 20 C
108 A DC relay coil can be modeled as an inductor
with series resistance due to the windings, as shown in Figure P108(a) The relay in Figure P108(b) is being driven by a transistor circuit When VR is greater than 72 VDC, the relay switch will close if it is in the open state If the switch is closed, it will open when VR is less than 24 VDC The diode on resistance is 10 , and its off resistance is The relay is rated to
VS(t) RB = 200 +5 V 0
= 75
+ _ 55 V D1 RDON = 25
Figure P109
10
Transistor Ampli ers and Switches
1010 A Darlington pair of transistors is connected as
shown in Figure P1010 The transistor parameters for small-signal operation are Q1 : hie = 15 k , hre = 4 10 4 , hoe = 110 A/V, and hf e = 130; Q2 : hie = 200 , hre = 10 3 , hoe = 500 A/V, and hf e = 70 Calculate: a The overall current gain b The input impedance
a The quiescent collector-emitter voltage, VCEQ , is 5V b The quiescent collector current, ICQ , will vary no more than 10 percent as varies from 20 to 50
+25 V R2 15 k
IC1 B' IB1 IE1 = IB2
I = IC1 + IC2 IC2 R1 1 k
Q1 Q2 IE3 E'
Figure P1012
1013 Consider again the ampli er of Figure P1012
Determine values of R1 and R2 which will permit maximum symmetrical swing in the collector current Assume = 100
Figure P1010
1011 Given the common-emitter ampli er shown in
Figure P1011, where the transistor has the following h parameters:
Maximum hie hf e hre hoe 15 k 500 8 10 4 30 S Minimum 1k 40 01 10 4 1 10 6 S
1014 In the small-signal analysis of circuits with
transistors, the transistor is modeled as a small-signal AC circuit The model shown in Figure P1014 (the hybrid pi model) is valid for any BJT, npn or pnp a The capacitors are internal to the device Their capacitance can be determined only from the transistor speci cation sheet In a mid-frequency analysis, they are modeled as open circuits Why can this be done b State the de nitions of and determine expressions for the transconductance and r c Illustrate graphically the de nition of the transconductance and r and the signi cance of the Q point in determining their values d The small signal output resistance of a transistor is determined either by a graphical analysis or from the transistor speci cation sheet It is normally large and is often modeled as an open circuit State its de nition and determine its value using the i-v characteristic for the 2N3904 transistor for a Q point at a base current of 30 A and a collector-emitter voltage of 8 V
Determine maximum and minimum values for: a The open-circuit voltage gain AV b The open-circuit current gain AI
+30 V 20 k 1 k 1 F
+ _
6 k 2 F
3 k Cc b
10 k
5 k
50 F
B Cbe r + v E y my rO
Figure P1011
1012 The transistor shown in Figure P1012 has
Vx = 06 V Determine values for R1 and R2 such that
Figure P1014
Part II
Electronics
1015 The circuit shown in Figure P1015 is a
common-collector (also called an emitter follower) ampli er stage The transistor is fabricated from silicon A DC analysis gives the Q or DC operating point: VCEQ = 1021 V IC = 358 A = 130
1018 The AC small-signal mid-frequency equivalent
circuit for a common collector [or emitter follower] ampli er stage is shown in Figure P1018 The DC bias point is: ICQ VCC RB RL C = 717 A = 70 = 20 V VBB = 65 V = 17 k RE = 19 k =3k RS = 06 k = 047 F
At mid-frequency, determine the small signal AC model of the transistor and draw the AC small-signal equivalent circuit
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