You are asking the same question that farmers asked about transmission power lines being routed over their herds or if cell phones cause cancer. After many studies over many years I am not aware of any definitive answer.
In simplest terms voltage is transmitted in 2 ways. On a conductor like a wire or with a magnetic field. Flowing electricity always produces a magnetic field.
When something in the environment reacts to the magnetic field voltage is produced. It is acting as an antennae. How dangerous it is depends on the strength of the signal and the efficiency it is received.
Every electronic device you ever purchased had this warning on it.
FCC Requirement
Changes or modifications not expressly approved by the party responsible for compliance could void the user’s authority to operate the equipment.
This device complies with Part 15 of the FCC Rules. Operation is subject to the following two conditions:
- This device may not cause harmful interference, and
- This device must accept any interference received, including interference that may cause undesired operation.
Note: This equipment has been tested and found to comply with the limits for a Class B digital device, pursuant to Part 15 of the FCC Rules. These limits are designed to provide reasonable protection against harmful interference in a residential installation. This equipment generates, uses, and can radiate radio frequency energy, and if not installed and used in accordance with the instructions, may cause harmful interference to radio communications. However, there is no guarantee that interference will not occur in a particular installation. If this equipment does cause harmful interference to radio or television reception, which can be determined by turning the equipment off and on, the user is encouraged to try to correct the interference by one or more of the following measures:
- Reorient or relocate the receiving antenna.
- Increase the separation between the equipment and receiver.
- Connect the equipment into an outlet on a circuit different from that to which the receiver is connected.
- Consult the dealer or an experienced radio/TV technician for help.
The 2 most common effects from induced voltages are electronic interference and heating. Want to see heating? Put a bit of metal in a microwave oven.
Neither of those is likely to be a problem in a fish tank. It can make controller probes inaccurate.
In a fish tank it is necessary to measure current to figure out what you are dealing with. If you are dealing with induced voltage instead of a bare wire in a tank the amount of current measured will be 10 to 1000 times smaller.
This like measuring the current from a small radio antenna compared to a electrical outlet. They could both produce the same voltage but the outlet can supply a lot of current and therefor power. The antennae can't. So you can touch the antennae and be OK but don't stick your finger in the electrical outlet.
Not sure any of that helped but it is what it is.