Charge dependent correlations relative to the 4th-harmonic event plane in Au+Au collisions at 27 and 39 GeV at RHIC/STAR In the chiral magnetic effect (CME) [1], an electric current is induced in the presence of a strong magnetic field and a chirality imbalance in the medium created in high-energy nuclear collisions. One corresponding observable for the charge separation across the reaction plane ($\psi$) is the charge dependent two-particle azimuthal correlator, $\gamma= $. However, the $\gamma$ contains both the CME signal and the flow background, complicating the interpretation of the data. In this poster, we investigate the background mechanism with a modified correlator, $\gamma^{II} = $. The $\gamma^{II}$ only contains the background, and reflects the role played by the collective flow in the original $\gamma$ correlator. We will present the STAR data of $\gamma^{II}$ as a function of centrality measured in Au+Au collisions at 27 and 39 GeV. The results will be compared with those obtained by the ALICE experiment at a much higher collision energy, and will also be compared with model calculations. The physics implications will be discussed. [1]D. Kharzeev, Phys. Lett. B 633 (2006) 260.