Page 116 - Op Amps Design, Applications, and Troubleshooting
P. 116

AC-Coupled Amplifier   99


             Our next step is to compute the effects of C 0 and R L. These two components
        form an RC voltage divider. You may apply your favorite circuit analysis
        method to determine the percentage of voltage that appears across JR L. This per-
        centage is the effective "gain" of the RC-coupling circuit. For our purposes, we
        will use the following method, which is based on the resistive voltage divider
        formula:






        where Z is the net impedance of C 0 and R L.
             First we compute the reactance of C 0 at the frequency of interest (800 hertz in
        this case):






                                              1





        Next we compute the net impedance of R L and C 0:










        Finally, substituting this value into Equation (2.38), we compute our gain as












        That is to say, about 97% of the signal amplitude that appears at the output termi-
        nal of the op amp will be developed across R L. The RC-coupling circuit appears to
        be working well at 800 hertz, since very little voltage is being lost across C 0.
             The overall voltage gain for the circuit is found by multiplying these two
        gains as computed.
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