Question 13.6: FINDING THE TRANSIENT RESPONSE OF AN INTEGRATING CIRCUIT The...

FINDING THE TRANSIENT RESPONSE OF AN INTEGRATING CIRCUIT

The input signal v_{in} = sin(120πt + 90°) is to be integrated and then fed to a load resistance R_{L} = 1 GΩ. This is shown in Figure 13.24(a). Use PSpice to plot the transient response of the input and output voltages for a duration of 0 to 33.33 msec in steps of 10 μsec.

13.24(a)
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The integration is accomplished by the RC circuit of Figure 13.24(b). The input frequency is f = 60 Hz.

The PSpice schematic is shown in Figure 13.25(a) with a capacitor integrator. Figure 13.25(b) shows an implementation with an ABM integrator.

The listing of the circuit file is as follows:

Example 13.6 Integrating circuit

SOURCE     VIN 1 0 SIN (0 1V 60HZ 0 0 90DEG)
CIRCUIT      .PARAM FREQ = 60HZ ; Input frequency in hertz

.PARAM TWO–PI = 6.2832
RL 2 0 1G
* Calling subcircuit INTG:
X1    1       2       0            INTG
*     Vi−   Vo+  Vo−    model name
* Subcircuit definition for INTG:
.SUBCKT INTG   1        3        2     PARAMS: FREQ = 60HZ
* model name   Vi+   Vo+  Vo−
RI 1 0 10G
GINTG 2 4 1 0 1
C 4 2 1 IC=0V
R 4 2 10G
EOUT 3 2 VALUE = {V(4, 2) *TWO–PI*FREQ}
RO 3 2 10G
.ENDS INTG                                ; End of subcircuit definition

ANALYSIS   .TRAN 10US 33.33MS UIC        ; Use initial condition in

transient analysis
.PLOT TRAN V(2) V(1)                ; Prints on the output file
.OPTIONS ABSTOL = 1.00N RELTOL = 0.01 VNTOL = 0.1
ITL5 = 0
.PROBE                                         ; Graphics post-processor

     .END

The plot of the transient response for the input and output voltages are shown in Figure 13.26. The output is a sine wave in response to a cosine signal.

13.24(b)
13.25(a)
13.25(b)
13.26

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