It is not the first time I have heard people say things about voltage being "inducted" into the water from equipment,
and it is based on some facts, so I do understand why this gets repeated.
If you are bored, here is a fun explanation of why that does not happen.
The theory:
A motor has basically half of a transformer, since it produces magnetic fields to drive the rotor. (true)
Salt water is polar and conductive, so it can be affected by a magnetic field. (true)
So the theory is that it acts like a transformer, and the field from the motor can cause voltages and currents in the aquarium.
In a transformer, an alternating current on the left sets up a moving magnetic field on the winding, which in turn
induces an alternating current on the coil on the right.
In the picture, the left side would be the motor windings. The right is salt water instead of wire.
Problem 1:
As above, the current is generated on the right.
If you connect the bottom-right wire to earth ground, then you indeed get a nice voltage on the top-right wire.
But in the aquarium, the top and bottom are essentially in the same place. There is no wire. It is not tied to ground.
So the current simply flows back on itself and poof you are done.
Problem 2:
Transformers use wire wound together and an iron core, which is WAY WAY WAY more efficient than sticking a pump
near salt water. So the current is basically zero anyway.
and it is based on some facts, so I do understand why this gets repeated.
If you are bored, here is a fun explanation of why that does not happen.
The theory:
A motor has basically half of a transformer, since it produces magnetic fields to drive the rotor. (true)
Salt water is polar and conductive, so it can be affected by a magnetic field. (true)
So the theory is that it acts like a transformer, and the field from the motor can cause voltages and currents in the aquarium.
In a transformer, an alternating current on the left sets up a moving magnetic field on the winding, which in turn
induces an alternating current on the coil on the right.
In the picture, the left side would be the motor windings. The right is salt water instead of wire.
Problem 1:
As above, the current is generated on the right.
If you connect the bottom-right wire to earth ground, then you indeed get a nice voltage on the top-right wire.
But in the aquarium, the top and bottom are essentially in the same place. There is no wire. It is not tied to ground.
So the current simply flows back on itself and poof you are done.
Problem 2:
Transformers use wire wound together and an iron core, which is WAY WAY WAY more efficient than sticking a pump
near salt water. So the current is basically zero anyway.