B.JT Transistors
Problem 1: BJT DC Circuits.
Let the NI'N B.J
Q_(N)
have the following properties:
{(V_(DEN)=0.7(V)):}
when BE junction is
ON,\beta =
100 and
V_(CENsat )=0.1V_(j)
. Let
R_(BIN)=R_(B2N)
and each has resistance value in the range of tens of
K\Omega
. Let
R_(C)
and
R_(FN)
have resistance values in the range of a few
K\Omega
.
1.a Choose all the resistors so that
I_(CA)=1mA
and
V_(CEN)=3V
. For your convenience, assume that
R_(BIN)
and
R_(R2N)
create an "almost-voltage-divider". Then you can easily determine
V_(R)
and
V_(F)
and choose
R_(IN)
to set the desired
I_(CN)
spee and then set
R_(CN)
to meet the VCen spec. Of course, don't forget to justify the Active Mode assumption and the "almost-voltage-divider" assumption.
1.b Now, change one of the
R_(BN)
resistors (to another finite and nonzero value) to drive the BJT into Saturation Mode. Once you violate the Active Mode assumption, while still keeping the BI: junction forward biased, solve the circuit that now operates in Saturation Mode.
1.c In your design of 1.a offer a change of one of the
R_(BV)
resistors (to another finite and nonzero value) in order to drive the BJT into Cutoff Mode. Solve the circuit in the Cutoff Mode.
Problem 2: B.JT small-signal amplifier.
Let the PNP BJT QP properties be
{(V_(EBP)=0.7(V)):}
if the EB junction is
ON,\beta =100
and Early vollage
{:V_(A)=100(V)}
. The internal resistance of the input signal source
v_(sig )(l)
is
R_(sig )=200\Omega
. The load resistance is
R_(L)=10K\Omega
. You cannot change the source resistance nor the load. Let
R_(B1P)=R_(B2P)=
40K\Omega
. Let
R_(EP)=3.9K\Omega
and let
R_(CP)=3K\Omega
.
2.a Find the DC voltages and currents of the amplifier, the BJT's small-signal parameters, and draw the small-signal diagram of the amplifier. Is the Active Mode assumption true?
2.b Find the amplifier's small-signal input resistance
R_(In )
and the small-signal voltage gain.
2.d Modify one of the resistors in order to increase the voltage gain by 20%. Hint: It would be the simplest to tweak the only resistor that has nothing to do with setting the IC current
I_(CP)
.