Final answer:
The output voltage of a LVDT is not zero when the core is in the null position; it depends on the phase difference between the secondary voltages. When the core is in the center position, the secondary voltages will be out of phase by 180 degrees, resulting in a non-zero output voltage depending on their magnitudes.
Step-by-step explanation:
When the core of a Linear Variable Differential Transformer (LVDT) is in the center or null position, the voltages in the two secondary transformers are indeed equal. However, since these transformers are connected in opposite directions, the resulting output voltage is not zero.
The output voltage is determined by the relative phase difference between the two secondary voltages. When the core is in the center position, the secondary voltages will be out of phase by 180 degrees, resulting in a non-zero output voltage depending on their magnitudes.