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Find the volume of (a) A cubic yard in cubic inches (b) A cubic meter in cubic centimeters (1 m 100 cm)

5 R2 1

(17.2)

Poles exist at 1 and 2; zeros at 1 j4. See Fig. 8-25.

Ex8_9.CIR vi 1 0 AC 0.250V R1 1 0 1kohm R2 1 0 16kohm Vsen 1 2 DC 0V Rhie 2 3 200ohm Fhfe 3 4 Vsen 90 RE 3 0 500ohm CE 3 0 330uF RC 4 0 1kohm RL 4 0 10kohm .AC DEC 25 10Hz 10kHz .PROBE .END

1 Find, to the nearest cubic inch, the volume of a cube whose edge is (a) 3 in; (b) 42 in; (c) 7.5 in; (d) 0.3 ft; (e) 1 ft 2 in. (17.3)

Fig. 8-25

Execute hEx8_9.CIRi and use the Probe feature of PSpice to yield the plots of Fig. 8-13. From the marked points, it is seen that the low-frequency cuto is fL 214:4 Hz, where the voltage gain has a value of AvL 289:7:

Obtain the natural frequencies of the network shown in Fig. 8-26 by driving it with a conveniently located current source.

1 82

Fig. 8-13

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Fig. 8-26 The response to a current source connected at xx 0 is a voltage across these same terminals; hence the network function H s V s =I s Z s . Then, 2 1 1 1 1 1 s 2:5s 1:5 Z s 1 2=s 2 4s 2 s 0:5 Thus, Z s 2 s 0:5 s 0:5 2 s 1 s 1:5 s2 2:5s 1:5

(b) A prism having a height of 2 ft and a square base whose side is 3 yd (c) A pyramid having a height of 2 yd and a base whose area is 6.4 ft2

The natural frequencies are the poles of the network function, s 1:0 Np=s 2 and s 1:5 Np/s.

Find, to the nearest integer, the volume of (a) A sphere with radius of 6 m (b) A cylinder having a height of 10 ft and a base whose radius is 2 yd (c) A cone having a height of 3 yd and a base whose radius is 1.4 ft

The above example utilized the small-signal equivalent circuit. Small-signal analysis frequency sensitivity can also be implemented using the SPICE model of the transistor directly.

The conductor at yy 0 in Fig. 8-26 can be opened and a voltage source inserted. H s I s =V s 1=Z s : The impedance of the netework at terminals yy 0 is 1 2=s s2 2:5s 1:5 4 1 2=s s 2 1 1 s 2 H s Z s 4 s2 2:5s 1:5 Z s 2 4s Then,

(17.5)

Example 8.10. For the BJT ampli er of Fig. 3-10, let Ri RE 0, RC 3 k , R1 1 k , R2 15 k , CC1 CC2 1 F, and VCC 15 V. The transistor can be modeled by the parameters of Example 3.4, except Rb 10 , Rc 100 , and Cje 100 pF. Use SPICE methods to graphically show the voltage gain magnitude and phase angle over the frequency range of 100 Hz to 1 GHz and to determine the low- and high-frequency cuto points where fL depends on the value of the bypass capacitor CE and fH depends on the BJT junction capacitance values.

Then;

From V 3Bh, the volume formula for a pyramid or cone, derive volume formulas for each of the solids in Fig. 17-32. (17.6)

CHAP. 8]

The following netlist code describes the circuit:

Fig. 17-32

The denominator is the same as that in Problem 8.17, with the same roots and corresponding natural frequencies.

Find a formula for the volume of each solid in Fig. 17-33.

Ex8_10.CIR vi 2 0 AC 0.250V Cc1 2 3 1uF R2 6 3 15kohm R1 3 0 1kohm VCC 6 0 15V RC 6 4 3kohm Cc2 4 7 1uF RL 7 0 5kohm Q 4 3 0 QPNPG .MODEL QPNPG PNP(Is=10fA Ikf=150mA Ise=10fA Bf=150 +Br=3 Rb=10ohm Rc=100ohm Va=30V Cjc=10pF Cje=100pF) .AC DEC 100 100Hz 1GHz .PROBE .END

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