This letter deals with a 2D and 3D convertible device implemented using a liquid lens. The electro-wetting on dielectric (EWOD) phenomenon was used to operate the liquid lens. The research aimed to display 3D images clearly by achieving the highest dioptric power. The 2D state and the 3D state were switched by a meniscus of two immiscible liquids, and concave to convex lens states were formed by the meniscus. In a previous iteration, during EWOD operation, the oil phase moved in unexpected directions. This movement degraded the total quality of the lenticular system when displaying the 3D state. Here, a method is suggested to avoid the phenomenon by controlling the area of the electrode. Since the dioptric power of the lens is determined by the contact angle of the oil and the water, the electrode location, which determines the volume of the oil phase, was investigated to obtain the maximum dioptric power range. The two liquids were dosed into transparent chambers where the dielectric layer and the electrode were deposited. Finally, the highest diopter was achieved, which showed improved 3D image quality.