With many high voltage probes available for use with multimeters, the instructions warn that the probe can only be used on power limited circuits. This meshes with a story I remember hearing about a university student who went to measure voltage on a utility transformer with a "power limited probe", the voltages were within the limits, but the probe exploded anyway.
What's the deal?
It seems like simple Ohm's Law to me: How can identical voltages force different amounts of current through a fixed resistance? And if current flow isn't the culprit, then why does the available power of the circuit make any difference at all?



P.S.: Not sure if this should be here or in "Electrical Theory", so sorry if it's misplaced.