Topic: Electronic Measurements and Instrumentation
An LVDT (Linear Variable Differential Transformer) has a sensitivity of 2 mV/mm/V (output per mm of displacement per volt of excitation). If it is excited with 5 V AC and produces an output of 30 mV, what is the core displacement?
- A. 1 mm
- B. 2 mm
- C. 3 mm
- D. None of the above
Answer: C. 3 mm
Explanation: The output voltage of an LVDT is given by $V_{out} = \text{Sensitivity} \times \text{Displacement} \times V_{in}$.
Rearranging for displacement: $\text{Displacement} = \frac{V_{out}}{\text{Sensitivity} \times V_{in}}$.
Substitute the given values: $\text{Displacement} = \frac{30~\text{mV}}{2~\text{mV/mm/V} \times 5~\text{V}} = \frac{30}{10} = 3$ mm.