We are all in harms way, all the time. Deliberately building an antenna and tuning it for maximum energy transfer increases the risk of harm. There are no hard and fast rules for the threshold of harm from RF radiation. Every situation must be evaluated based on it's particular details.
As pointed out earlier by AlephZero, with VLF it is easy to be in the near-field. At 60kHz, the wavelength is 5km. The near-field therefore extends out to 300km. At 1kHz the entire Earth is in the near-field.
Together, the Earth with the Ionosphere constitutes a transmission waveguide for VLF transmissions that reduces attenuation from inverse square range to simple inverse range. We reside in that waveguide. The evaluation of risk comes down to evaluation of local energy density.
A high Q resonant circuit can build up sufficient circulating energy to provide several hundred volts of RF. That is sufficient electric field to light fluorescent tubes without a matching network or detector.
It was once common to place a loudspeaker shunted with a diode in the radio shack. That confirmed to the technician that the AM transmitter was working.
oneamp said:
Can I just walk up to a transmitter with a resonate LC circuit connected to a resistor and LED to make the LED light up? Or do I need a big antenna?
You do not need a resistor. Just put a signal diode across the LED to protect it from reverse voltage and AC couple it to your tuned LC network. You can kill yourself trying things like that. Especially if your LED circuit does not work, or you are not tuned to the right transmitter frequency. You will walk into harms way. Like a sugar trap for catching flies, a transmitter can attract and harm overconfident technicians.
I once tracked down an accidental spark transmitter. When the signal became very loud, I reached up with both hands to take of my headphones and received a shock from between the two ends of the spring headband, (between the insulated ear-pieces). It turned out that I was only 10m from the source of interference. I was in the near-field and had become part of the radiating structure.