A shielded Wheatstone type force transducer FT is mounted on a metallic structure and through its cable is connected to an industrial amplifier module Amp(I gave the names in the below illustration). The end of the cable has several wires which is connected to the amplifier. One of the wire is shield SW which is connected to the transducer shield K. The amplifier is powered by an SMPS power supply whose DC negative terminal is galvanically isolated from mains earth.
The outpuut of the amplifier vi a BNC coaxial cable goes to a DAQ board which is a single ended earth grounded board. The shiled wire was floating i.e was not connected to anywhere.
I tried to illustrate this below:
If the force transducer is completely isolated from the metallic structure the output is fine. On the other hand, if it touches to the metallic structure there is 50Hz noise appears on that particular DAQ channel. Obviously some noise is coupling through the metallic structure either magnetically or overcapacity.
But by a wire I wired/shorted a point on the shield K directly to the AIGND and even if the transducer touches to the metallic structure the noise disappeared. If the metallic structure was earthed I would expect some ground loops but the 50 Hz disappeared.
So for some reason tying the shield directly to the AIGND solved the 50Hz pickup problem even the transducer is mounted on the metallic structure.
I tried to simulate this scenario but failed. How can we model what happens with a basic circuit model? I mean I want to simulate a representative circuit modelling when the shield is wired to the AIGND the noise disappears and when the shield is floating the noise appears.