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In this paper, we investigate the bound-state solutions of the noncommutativeDirac oscillator with a permanent electric dipole moment in the presence of anelectromagnetic field in (2+1)-dimensions. We consider a radial magnetic fieldgenerated by anti-Helmholtz coils, and the uniform electric field of the Starkeffect. Next, we determine the bound-state solutions of the system, given bythe two-component Dirac spinor and the relativistic energy spectrum. We notethat this spinor is written in terms of the generalized Laguerre polynomials,and this spectrum is a linear function on the potential energy $U$, and dependsexplicitly on the quantum numbers $n$ and $m$, spin parameter $s$, and of fourangular frequencies: $\omega$, $\tilde{\omega}$, $\omega_\theta$, and$\omega_\eta$, where $\omega$ is the frequency of the oscillator,$\tilde{\omega}$ is a type of ``cyclotron frequency'', and $\omega_\theta$ and$\omega_\eta$ are the noncommutative frequencies of position and momentum.Besides, we discussed some interesting features of such a spectrum, forexample, its degeneracy, and then we graphically analyze the behavior of thespectrum as a function of the four frequencies for three different values of$n$, with and without the influence of $U$. Finally, we also analyze in detailthe nonrelativistic limit of our results, and comparing our problem with otherworks, where we verified that our results generalize several particular casesof the literature.

The noncommutative Dirac oscillator with a permanent electric dipole moment in the presence of an electromagnetic field