This study investigates the electrostatic interactions and torque generation in multilayered dielectric-electrolyte systems using Green's function methods. We analyze configurations comprising alternating dielectric half-spaces ϵsub and electrolyte layers ϵel with charged rods (e.g., DNA-like Z-ions) attached to bounding plates. By rotating the lower plate by an angle \theta relative to the fixed upper plate, we derive a \theta- dependent torque \tau(\theta)=\tau_max Sin(\theta) Numerical calculations demonstrate that increasing the number of layers dramatically amplify es the transmitted torque: the maximum torque in a seven-layer system reaches three orders of magnitude stronger than in a three-layer con figuration. The Green's function approach enables exact calculation of the free energy for arbitrary layer counts.
