A remote, noncontact temperature determination method and apparatus is provided, which is operable to determine the temperature of a conducting member forming a part of or in operative thermal communication with an object of interest. The method comprises the steps of first inducing a closed vortex eddy current (28) in a conducting member (16, 38, 44) by subjecting the member (16, 38, 44) to a magnetic field, such that the corresponding eddy current magnitude changes exponentially over time. A characteristic time constant of the exponential current magnitude changes is then determined, and this is used to calculate the temperature of the object. The apparatus (24) includes a field transmitting coil (14) coupled with a waveform generator (12) for inducing the eddy current (28), and a field receiving coil assembly (18) which detects the corresponding magnetic field induced by the eddy current (28). Using the invention, temperature determinations can be made which are substantially independent of the relative distance and/or angular orientation between the conducting member (16, 38, 44) and the field receiving coil assembly (18).