The bottom-charmed meson spectrum is studied via an effective version of the Coulomb gauge QCD Hamiltonian. The Tamm-Dancoff approximation is employed to estimate the energies of the low-lying and radial-excited B c states with quantum numbers J P ¼ 0 − ; 0 þ ; 1 − ; 1 þ ; 2 þ ; 2 −. In particular, we analyze the effects of incorporating an effective transverse hyperfine interaction and spin mixing. The Regge trajectories and hyperfine splitting of both Sand P-wave states are also examined. The numerical results are compared with available experimental data and the theoretical predictions of other models.