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The values of R10 and R50 are su ciently large 1 1012 so that I"1 I"Ci and I"5 I"Co . If source I"5 is deactivated by setting I5value=0 and I1value is assigned a small value (i.e., 1 mA), then z11 and z21 are determined by (1.10) and (1.12), respectively. <Ex1_9.CIR> is executed and the probe feature of PSpice is used to graphically display the magnitudes and phase angles of z11 and z21 in Fig. 1-11(a). Similarly, I"1 is deactivated and I"5 is assigned a small value (I1value=0, I5value=1mA) to determine the values of z12 and z22 by (1.11) and (1.13), respectively. Execution of <Ex1_9.CIR> and use of the Probe feature of PSpice results in the magnitudes and phase angles of z12 and z22 as shown by Fig. 1-11(b). Example 1.10. Use SPICE methods to determine the h parameters suitable for use with sinusoidal excitation at a frequency of 10 kHz for the frequency-sensitive two-port network of Fig. 1-10(a). The h parameters of (1.16) to (1.19) for sinusoidal steady-state excitation are ratios of phasor voltages and currents; thus the values are complex numbers expressible in polar form as hij hij ij . Connect the sinusoidal voltage source and current source of Fig. 1-10(c) to the network of Fig. 1-10(a). The " netlist code below models the resulting network with parameter-assigned values for I"1 and V5 . Two separate executions of <Ex1_10.CIR> are required to produce the results needed for evaluation of all four h parameters.

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Close out expense accounts. Credit the individual expense accounts and debit their total to Income Summary. Jan. 31 Income Summary 900 Rent Expense Salaries Expense Supplies Expense

Fig. 1-11

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Java Code Examples for org.apache.commons.validator.routines. checkdigit . ... EAN13_CHECK_DIGIT.calculate( ean13 ); ean13 += checkDigit ; return ean13 ; ...

32.7 Sketch and nd the area of: (a) the region to the left of the parabola x = 2y2 , to the right of the y-axis, and between y = 1 and y = 3; (b) the region above the line y = 3x 2, in the rst quadrant, and below the line y = 4; (c) the region between the curve y = x 3 and the lines y = x and y = 1. 32.8 Sketch the following regions and nd their areas: (a) The region between the curves y = x 2 and y = x 3. (b) The region between the parabola y = 4x 2 and the line y = 6x 2. (c) The region between the curves y = x, y = 1 and x = 4. (d) The region under the curve x + y = 1 and in the rst quadrant. (e) The region between the curves y = sin x, y = cos x, x = 0, and x = /4. (f) The region between the parabola x = y2 and the line y = x + 6.

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" " Through use of the .PRINT statement, both magnitudes and phase angles of V1 , V5 , I"Ci , and I"Co are written to <Ex1_10.OUT> and can be retrieved by viewing of the le.

Ex1_10.CIR - h-parameter evaluation .PARAM I1value=0mA V5value=1mV I1 0 1 AC {I1value} R10 1 0 1Tohm ; Large resistor to avoid floating node Ci 1 2 100uF RB 2 3 10kohm VB 0 3 DC 10V R1 2 4 1kohm R2 4 0 5kohm C2 4 0 0.05uF Co 5 4 100uF V5 5 0 AC {V5value} .AC LIN 1 10kHz 10kHz .PRINT AC Vm(1) Vp(1) Im(Ci) Ip(Ci) ; Mag & phase of inputs .PRINT AC Vm(5) Vp(5) Im(Co) Ip(Co) ; Mag & phase of outputs .END

(g) The region between the parabola y = x 2 x 6 and the line y = 4. (h) The region between the curves y = x and y = x 3. (i) (j) The region in the rst quadrant between the curves 4y + 3x = 7 and y = x 2 . The region bounded by the parabolas y = x 2 and y = x 2 + 6x.

" Set V5value=0 (deactivates V5 ) and I1value=1mA. Execute <Ex1_10.CIR> and retrieve the necessary " values of V1 ; I"Ci ; and I"Co to calculate h11 and h21 by use of (1.16) and (1.18). h11 h21 Vm 1 0:9091 Vp 1 Ip Ci 0:028 08 909:1 0:028 Im Ci 0:001 Im Co 9:08 10 4 Ip Co Ip Ci 1808 08 0:908 1808 Im Ci 1 10 3

500 200 200

Set V5value=1mV and I1value=0 (deactivates I"1 ). Execute <Exl_10.CIR> and retrieve the needed values of " " V1 ; V5 ; and I"Co to evaluate h12 and h22 by use of (1.17) and (1.19). h21 h22 Vm 1 9:08 10 4 08 08 0:908 08 Vp 1 Vp 5 Vm 5 1 10 3 Im Co 3:15 10 6 Ip Co Vp 5 84:78 08 3:15 10 3 84:78 Vm 5 1 10 3

(k) The region bounded by the parabola x = y2 + 2 and the line y = x 8. (l) The region bounded by the parabolas y = x 2 x and y = x x 2 .

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