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Isolation Amplifiers
                                 Isolation amplifiers are useful in applications in which a voltage or current occurring in the presence of
                                 a high common-mode voltage must be measured safely, accurately, and with a high CMR. They are also
                                 useful when safety from DC and line-frequency leakage currents must be ensured, such as in biomedical
                                 instrumentation.
                                   The isolation amplifier can be thought of as consisting of three sections: an input stage, an output stage,
                                 and a power circuit. All isolation amplifiers have their input stages galvanically isolated from their output
                                 stages. Communication between the input and output stages is accomplished by modulation/demodulation.
                                   An isolation amplifier is said to provide two-port isolation if there is a DC connection between its
                                 power circuit and its output stage. If its power circuit is isolated from its output stage as well as its input
                                                                                                             10
                                 stage, then the amplifier is said to provide three-port isolation. Isolation impedances on the order of 10  Ω
                                 are not atypical.
                                   Isolation amplifiers are available in modular form with either two-port or three-port isolation. Both
                                 single-channel and multichannel modules are offered.
                                 Attenuation
                                 Although the majority of transducers are low-level devices such as thermocouples, thermistors, resistance
                                 temperature detectors (RTDs), strain gages, and so forth, whose outputs require amplification, there
                                 are many measurement situations in which the input signal must be attenuated before introducing it
                                 to the remainder of the system.
                                 Voltage Scaling
                                 Most typically, the signals to be attenuated take the form of voltages. Broadly, the attenuation is accom-
                                 plished by either a voltage divider or a voltage transformer.
                                 Voltage Dividers
                                 In many cases a simple chain divider proves adequate. The transfer function of a two-element chain of
                                 impedances Z 1 (s) and Z 2 (s) is

                                                                V o s()    Z 1 s()
                                                                -------------- =  -------------------------------
                                                                V in s()  Z 1 s() +  Z 2 s()
                                 where the output voltage V o (s) is the voltage across Z 1 (s) and the input voltage V in  is the voltage across
                                 the two-element combination.
                                   Of course, the impedances of the source (transducer) and the load (the remainder of the system) must
                                 be taken into account when designing the divider network.

                                   Resistive Dividers
                                   If the elements in the chain are resistors, then the divider is useful from DC up through the frequencies
                                   for which the impedances of the resistors have no significant reactive components. For Z 1 (s) = R 1  and
                                   Z 2 (s) = R 2 ,

                                                                  V o s()   R 1
                                                                  -------------- =  -----------------
                                                                  V in s()  R 1 +  R 2
                                   Other configurations are available for resistive dividers. One example is the Kelvin–Varley divider,
                                   which has several advantages that make it useful in situations requiring high accuracy. For a detailed
                                   description, see Gregory (1973).

                                   Capacitive Dividers
                                   If the elements in the chain divider are capacitors, then the divider has as its transfer function

                                                                  V o s()   C 2
                                                                  -------------- =  ------------------
                                                                  V in s()  C 1 +  C 2

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