Electrically operated well tools. A well system includes a well tool positioned in a wellbore. The well tool includes an actuator and an operating member displaceable to operate the well tool. The actuator includes a series of longitudinally distributed electromagnets, in which current is controllable in a predetermined pattern to thereby variably control longitudinal displacement of the operating member. In another well system, the operating member is displaceable between opposite maximum limits of displacement to operate the well tool, and an electromagnet is operative to displace the operating member to at least one position between the opposite maximum limits of displacement. In a method of operating a well tool, the well tool is operated by controlling current in a series of longitudinally distributed electromagnets of an actuator in a predetermined pattern, thereby causing corresponding longitudinal displacement of an operating member.