Page 311 - Mechatronics with Experiments
P. 311

October 28, 2014 11:15 254mm×178mm
                                         Printer: Yet to Come
                        JWST499-Cetinkunt
            JWST499-c05
                                                       ELECTRONIC COMPONENTS FOR MECHATRONIC SYSTEMS  297
                                 v          (a)





                                v           (b)










                                 v
                                            (c)


                                                                  FIGURE 5.33: Schmitt trigger (inverting
                                                                  configuration) op-amp circuit used to convert a
                                                                  periodic input signal to a square wave output
                                                                  signal.


                             Inverting Op-Amp     The functionality is to amplify the input voltage to output voltage
                             with a negative gain. Neglecting the transient delay of response between input and output
                             voltages,

                                                          V (t) = K  ⋅ V (t)                   (5.230)
                                                           o      CL  i
                             Inverting the op-amp (Figure 5.34a) connects the (+) input terminal to ground, and the input
                             signal is connected to the (−) input terminal. There are two resistors around the op-amp: R i
                             and R . Let us show the relationship between V and V using the ideal op-amp assumptions.
                                  f                               i    o
                                                                     −
                                                                +
                                                                               +
                                                                                    −
                             Recall that ideal op-amp assumptions state i = i = 0, E = v − v = 0, i = i . Notice
                                                                           d              f   in
                             that since the noninverting terminal of the op-amp is grounded,
                                                                  −
                                                             +
                                                            v = v = 0                          (5.231)
                                               R                                 R
                                                f                                 f
                             V     R                                 R
                               i    i                                 i
                                            _         V o                     _         V o
                                         v +  +                             V i +


                                                                                   R
                                              R
                                                                                +
                                                                                    f
                                        V =  − ( )  V i                  V = 1 (            )  V i
                                                f
                                                                                   R
                                                                          O
                                         O
                                                                                    i
                                               R i
                                         (a)                                  (b)
                             FIGURE 5.34: Basic feedback (closed loop) configuration of op-amps: (a) inverting, and (b)
                             noninverting configuration as a gain amplifier.
   306   307   308   309   310   311   312   313   314   315   316