A mathematical model is established to investigate the electromagnetic field phenomena in an industrial-scale electroslag remelting process, the coupled real and imaginary scalar equations of magnetic field intensity are simultaneously solved with FLUENT software. The distribution characteristics of electromagnetic field with 50 Hz have been analyzed, and the effects of current frequency and electrode penetration depth on electromagnetic field are also investigated. The results indicate that the current density increases from 91 378 A/m2 to 190 746 A/m2 when the current frequency varies from 0.5 Hz to 60 Hz. The magnetic field intensity concentrates in the region adjacent to the surface of electrode and ingot with the current frequency increasing. In addition, it also results in the alteration of the direction of Lorentz force at the slag-pool interface. Under the condition of the same power input, the Joule heating density in slag far from the electrode tip increases with the electrode penetration depth, however, it decreases at the region adjacent to the electrode tip. © 2017, Editorial Department of Journal of Northeastern University. All right reserved.