Question 6.6: For the amplifier of Example 6.5, use SPICE methods to deter......

For the amplifier of Example 6.5, use SPICE methods to determine    (a) the input impedance Z_{in},    (b) the current gain A_i, and    (c) the voltage gain A_v.

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Netlist code that describes the amplifier circuit follows:

Ex6_6.CIR
vi      1 0 AC 1V
Ri     1 2 100ohm
CC1  2 3 1000uF
CC2 4 7 1000uF
R1    3 0 6kohm
R2    3 6 50kohm
RC    6 4 1kohm
RE    5 0 100ohm
RL    7 0 1kohm
VCC 6 0 15V
Q 4   3 5 QNPNG
.MODEL QNPNG NPN(Is=10fA Ikf=150mA Isc=10fA Bf=150
+ Br=3 Rb=1ohm Rc=1ohm Va=75V Cjc=10pF Cje=15pF)
.AC LIN 1 100Hz 100Hz
.PRINT AC Vm(1) Vp(1) Vm(7) Vp(7)
.PRINT AC Im(Ri) Ip(Ri) Im(RL) IP(RL)
.END

(a) Execute 〈Ex6_6.CIR〉 and poll the output file to find the values of input voltage and current. Thus,
Z_{\mathrm{in}} = {\frac{\mathrm{V}(1)}{\mathrm{I(\mathrm{vi})}}} = {\frac{1}{2.465  \times  10^{-4}}} = 4.056\,{\mathrm{k}}\Omega

(b) The output file contains the magnitudes and phase angles of the input and output voltages.    Hence,
A_{v} = -{\frac{\mathrm{Vm}(7)}{\mathrm{Vm}(1)}} = -{\frac{4.649}{1}} = -4.649

The negative sign accounts for the 180° phase shift [see Vp(7)] of V(7) with respect to V(1).
(c) The output file values of Ip(Ri) and Ip(RL) show the two signals to be 1808 out of phase. The current gain is found as
A_{i} = -{\frac{\mathrm{Im}(\mathrm{RL})}{\mathrm{Im}(\mathrm{Ri})}} = -{\frac{4.649  \times  10^{-3}}{2.465  \times  10^{-4}}} = -18.86

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