Calculations of a phase-field model are presented representing the solidification of a pure two-dimensional single-crystal subject to an applied electric current. The effect of Joule heat on growth of a crystal is studied. Results show that the application of an uniform electrical current causes the tip radius to deviate from a constant value that is characteristic of steady-state growth in the absence of current. Additionally, the Peltier effect is shown to affect the symmetry exhibited by the crystal growth form from what would be expected in the absence of current. (C) 2002 Elsevier Science B.V. All rights reserved.