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simulation of a superheterodyne receiver using pspice - School of ...

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junctions. In the Pspice library Q2N2222 refers to an NPN transistor. The dc bias<br />

voltage forward biases the base emitter junction and reverse biases the base collector<br />

junction.<br />

The ratio <strong>of</strong> dc collector current, I , to dc base current, I , is called the dc beta,<br />

C<br />

B<br />

β<br />

DC<br />

, which is the dc current gain <strong>of</strong> the transistor (typical values range from 20 to<br />

200 or higher). Taking current values from Pspice:<br />

β<br />

DC<br />

=<br />

I<br />

I<br />

C<br />

B<br />

6.037mA<br />

= = 198.5<br />

30.42uA<br />

The ratio <strong>of</strong> I to dc emitter current, I , is the dc alpha,<br />

less than 1).<br />

C<br />

E<br />

α<br />

DC<br />

(this value is always<br />

α<br />

DC<br />

=<br />

I<br />

I<br />

C<br />

E<br />

6.037mA<br />

= = 0.995<br />

6.068mA<br />

Other important dc conditions include:<br />

V<br />

V<br />

I<br />

B<br />

E<br />

E<br />

R2<br />

50k<br />

= VDD<br />

= 20V<br />

R1<br />

+ R2<br />

80k<br />

+ 50k<br />

= V −V<br />

= (7.7 − 0.7) V = 7V<br />

B<br />

V<br />

=<br />

R<br />

E<br />

E<br />

BE<br />

7V<br />

= = 7mA<br />

1kΩ<br />

= 7.7V<br />

Pspice gives values for the base and emitter voltages as 6.756V and 6.068V<br />

respectively and emitter current as 6.068mA.<br />

The internal resistance <strong>of</strong> the transistor:<br />

25mV<br />

r ' e = = 3. 6Ω<br />

I E<br />

L1<br />

VO<br />

RL<br />

Voltage gain: A = = =<br />

C1Rs<br />

V<br />

= 25<br />

V r'<br />

e r'<br />

e<br />

IN<br />

Where the load resistance is the dynamic impedance <strong>of</strong> the tuned LC circuit. The<br />

voltage gain expressed in dBs: 20log(25) = 28dB.<br />

Power gain = current gain X voltage gain = 198.5 X 25 = 3970.<br />

Input Impedance <strong>of</strong> the transistor:<br />

VB<br />

7.7V<br />

RIN = = = 253kΩ<br />

I 30.42uA<br />

B<br />

12

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