Name:
April 1, 1997
Instructor: C. Davila

1. Assume that the linear variable differential transformer can be modeled as shown.
   

   

   The mutual inductances are (Henrys) and (Henrys), where the displacement x varies between (meters). The self-inductance of each inductor is 1H. Find an expression for as a function of the displacement x. What is the sensitivity of the transducer in V/m?

2. Design an instrument that measures both velocity and acceleration. Sketch a block diagram of your design, then indicate how your design can be built using electrical devices such as capacitors, inductors, voltage sources, or OP amps.

3. Describe three types of temperature transducers. Use sketches, formulas, and a short paragraph to describe the operation of each.

4. (a) Describe the signal averaging concept using sketches and formulas. (b) Give a brief description of all of the measurements we discussed which make use of signal averaging.

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