Researchers have studied the normal-superconducting phase transition in the high-Tc cuprates in a magnetic field (the vortex-glass or Bose-glass transition) and in zero field. Often, transport measurements in "zero field" are taken in the Earth's ambient field or in the remnant field of a magnet. We show that fields as small as the Earth's field will alter the shape of the current vs. voltage curves and will result in inaccurate values for the critical temperature Tc and the critical exponents ν and z, and can even destroy the phase transition. This indicates that without proper screening of the magnetic field it is impossible to determine the true zero-field critical parameters, making correct scaling and other data analysis impossible. We also show, theoretically and experimentally, that the self-field generated by the current flowing in the sample has no effect on the current vs. voltage isotherms.PACS numbers: 74.40.+k, 74.25.Dw, 74.72.Bk There continues to be a great deal of interest in the normal-superconducting phase transition of the cuprate superconductors, due in part to the accessibility of the critical regime 1 and also to the well-understood theories regarding the transition. 2 This interest has generated a large body of work regarding the phase transition in a magnetic field (the vortex-glass or Bose-glass transition). 3 This phase transition is generally accepted to exist, 4 though reserachers have found very different results for the critical exponents ν and z. 3 The existence of a vortex-glass transition has been debated by some, 5 and our own recent work has suggested a more precise criterion for determining the critical parameters if such a phase transition does indeed exist. 6 Much of the knowledge from the in-field transition carries over to the zero-field transition. This phase transition is less often studied, although paradoxically, the existence of this phase transition is not in doubt and the model that governs the phase transition is better understood. Like many other second-order phase transitions, the normal-superconducting phase transition in zero field is expected to obey the three-dimensional (3D) XY model with correlation length critical exponent ν = 0.67. If the dynamics are diffusive, then the expected dynamic critical exponent is z = 2. 2,7 However, there are widely varying experimental results in zero field. Researchers have studied the bulk properties of YBa 2 Cu 3 O 7−δ (YBCO), properties such as the specific heat, 8 thermal expansivity, 9 and transport in single crystals, 10 and have reported critical exponents similar to those of the 3D-XY model, while others have found both 3D-XY and mean field exponents (ν = 1 2 ) in crystals. 11 Transport measurements in thin-film YBCO have yielded exponents similar to those predicted by 3D-XY theory when extrapolating from high fields to zero field, 12 while measurements in low fields yield exponents larger than those expected from 3D-XY theory (ν ≈ 1.1, z ≈ 8.3). 13 Measurements on Bi 2 Sr 2 CaCu 2 O 8+δ (BSCCO), a similar hole-dop...