Page 340 - Mechatronics with Experiments
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JWST499-Cetinkunt
            JWST499-c05
                       326   MECHATRONICS  Printer: Yet to Come                     October 28, 2014 11:15 254mm×178mm
                              LED and transistor: the forward bias voltage of the LED is V = 2.5 V, and the minimum voltage drop
                                                                        f
                              between collector and emitter of transistor is V CE  = 0.3 V (i.e., when the transistor is fully saturated),
                              and the gain of the transistor    = 100.
                              6.  Design an op-amp circuit to implement a PD (proportional plus derivative) control where
                              the proportional gain and the derivative gain are both adjustable. The circuit should have two input
                              voltages (V (t), V (t) and one output voltage (V (t)). The desired mathematical function to be realized
                                      i1  i2                   o
                              by the op-amp circuit is
                                               V (t) = K ⋅ (V − V (t)) + K ⋅ d∕dt((V − V (t)))  (5.325)
                                                          i1
                                                      p
                                                o
                                                                            i1
                                                                                i2
                                                              i2
                                                                     d
                              7.  Consider the op-amp circuits shown in Figure 5.62. Derive the input–output voltage relationships.
                                                     RI
                                           V3
                                                     RI
                                           V2
                                                     RI           RO
                                           V1

                                                                  –
                                                                 +
                                                                              VO







                                     Noninverting                         Inverting

                                          +                             R        1000 R
                                          –
                                                                                  –
                               E I                     EO         EI
                                          999 R                                   +
                                       R                                                       EO





                              FIGURE 5.62: Figure for problem 7.
                              8.  Consider the op-amp circuits shown in Figure 5.63. Determine the output voltage when the input
                              voltage is V = 0.1 V, and the current that flows to the inverting input.
                                      i
                                            R          100 R
                              V  = 0.1 V
                               1
                                                      −
                                                       10 MΩ
                                                      +
                                                                   VO


                                                                       FIGURE 5.63: Figure for problem 8.
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