What happens to the output voltage of an LVDT when the movable core is in its central balanced position?

In an LVDT (Linear Variable Differential Transformer), the output voltage is produced based on the position of the movable core within the transformer. When the core is positioned at the center, which is referred to as the balanced position, the two coils on either side of the core generate equal opposing induced voltages. As these voltages cancel each other out, the output voltage of the LVDT becomes zero.

This principle is fundamental to the operation of an LVDT, allowing it to accurately measure linear displacement. The zero output at the balanced position indicates that there is no net displacement, thereby confirming the core’s central alignment. In contrast, if the core were to move away from this central position, an unbalanced output would be generated, leading to either a positive or negative voltage depending on the direction of the core's movement.